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<context>[NEXA_RESTORE] -2.5cm -0.2cm
P-and-T–VIOLATION TESTS WITH POLARIZED RESONANCE NEUTRONS
V. E. Bunakov, Y. Novikov\
Petersburg Nuclear Physics Institute, 188350 Gatchina, Russia\
e-mail: inovikov@snoopy.phys.spbu.ru
PACS numbers: 11.30.Er, 13.88.+e, 14.20.Dh
[**Keywords:**]{} CP-violation, resonance neutrons\
[**Abstract**]{}: The enhancements of CP-violating effects in resonance neutron transmission through polarized targets are studied for 2 possible versions of experiment. The importance is stressed of error analysis and of pseudomagnetic effects’ compensation.
[**1. Introduction.**]{} It was shown \[1-3\] about 15 years ago that CP-violation effects in transmission of polarized neutrons through the polarized target might be enhanced in the vicinity of p-resonances by 5-6 orders of magnitude. Originally it was suggested to measure the difference in transmission of neutrons with spins parallel ($N_+$) and antiparallel ($N_+$) to the vector $\vec{k}_n\times \vec{I}$ ($\vec{k}_n$ and $\vec{I}$ are the neutron momentum and the target spin):$$\eta_T=\frac{N_+-N_-}{N_++N_-}\approx 2\frac{\sigma_+-\sigma_-}
{\sigma_++\sigma_-}$$ Here $N_+$ and $N_-$ are the numbers of neutrons with the corresponding helicities transmitted through the polarized target sample, $\sigma_+$ and $\sigma_-$ are the corresponding total | -2.5cm -0.2cm
P-and-T–VIOLATION TESTS WITH POLARIZED RESONANCE NEUTRONS
V. E. Bunakov, Y. Novikov\
Petersburg Nuclear Physics Institute, 188350 Gatchina, Russia\
e-mail: inovikov@snoopy.phys.spbu.ru
PACS numbers: 11.30.Er, 13.88.+e, 14.20.Dh
[**Keywords:**]{} CP-violation, resonance neutrons\
[**Abstract**]{}: The enhancements of CP-violating effects in resonance neutron transmission through polarized targets are studied for 2 possible versions of experiment. The importance is stressed of error analysis and of pseudomagnetic effects’ compensation.
[**1. Introduction.**]{} It was shown \[1-3\] about 15 years ago that CP-violation effects in transmission of polarized neutrons through the polarized target might be enhanced in the vicinity of p-resonances by 5-6 orders of magnitude. Originally it was suggested to measure the difference in transmission of neutrons with spins parallel ($N_+$) and antiparallel ($N_+$) to the vector $\vec{k}_n\times \vec{I}$ ($\vec{k}_n$ and $\vec{I}$ are the neutron momentum and the target spin):$$\eta_T=\frac{N_+-N_-}{N_++N_-}\approx 2\frac{\sigma_+-\sigma_-}
{\sigma_++\sigma_-}$$ Here $N_+$ and $N_-$ are the numbers of neutrons with the corresponding helicities transmitted through the polarized target sample, $\sigma_+$ and $\sigma_-$ are the corresponding total[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Domain adaptation is transfer learning which aims to generalize a learning model across training and testing data with different distributions. Most previous research tackle this problem in seeking a shared feature representation between source and target domains while reducing the mismatch of their data distributions. In this paper, we propose a close yet discriminative domain adaptation method, namely CDDA, which generates a latent feature representation with two *interesting* properties. First, the discrepancy between the source and target domain, measured in terms of both marginal and conditional probability distribution via Maximum Mean Discrepancy is minimized so as to *attract* two domains close to each other. More importantly, we also design a repulsive force term, which maximizes the distances between each label dependent sub-domain to all others so as to *drag* different class dependent sub-domains far away from each other and thereby increase the discriminative power of the adapted domain. Moreover, | ---
abstract: 'Domain adaptation is transfer learning which aims to generalize a learning model across training and testing data with different distributions. Most previous research tackle this problem in seeking a shared feature representation between source and target domains while reducing the mismatch of their data distributions. In this paper, we propose a close yet discriminative domain adaptation method, namely CDDA, which generates a latent feature representation with two *interesting* properties. First, the discrepancy between the source and target domain, measured in terms of both marginal and conditional probability distribution via Maximum Mean Discrepancy is minimized so as to *attract* two domains close to each other. More importantly, we also design a repulsive force term, which maximizes the distances between each label dependent sub-domain to all others so as to *drag* different class dependent sub-domains far away from each other and thereby increase the discriminative power of the adapted domain. Moreover,[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- Qiming Sun
- 'Garnet Kin-Lic Chan'
bibliography:
- 'embed.bib'
title: Quantum embedding theories
---
Conspectus
==========
In complex systems, it is often the case that the region of interest forms only one part of a much larger system. The idea of joining two different quantum simulations - a high level calculation on the active region of interest, and a low level calculation on its environment - formally defines a [*quantum embedding*]{}. While any combination of techniques constitutes an embedding, several rigorous formalisms have emerged that provide for exact feedback between the embedded system and its environment. These three formulations: [*density functional embedding*]{}, [*Green’s function embedding*]{}, and [*density matrix embedding*]{}, respectively use the single-particle density, single-particle Green’s function, and single-particle density matrix as the quantum variables of interest.
Many excellent reviews exist covering these methods individually. However, a unified presentation of the different formalisms is so far lacking. Indeed, the various languages commonly used: functional equations for density functional | ---
author:
- Qiming Sun
- 'Garnet Kin-Lic Chan'
bibliography:
- 'embed.bib'
title: Quantum embedding theories
---
Conspectus
==========
In complex systems, it is often the case that the region of interest forms only one part of a much larger system. The idea of joining two different quantum simulations - a high level calculation on the active region of interest, and a low level calculation on its environment - formally defines a [*quantum embedding*]{}. While any combination of techniques constitutes an embedding, several rigorous formalisms have emerged that provide for exact feedback between the embedded system and its environment. These three formulations: [*density functional embedding*]{}, [*Green’s function embedding*]{}, and [*density matrix embedding*]{}, respectively use the single-particle density, single-particle Green’s function, and single-particle density matrix as the quantum variables of interest.
Many excellent reviews exist covering these methods individually. However, a unified presentation of the different formalisms is so far lacking. Indeed, the various languages commonly used: functional equations for density functional[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'To quantitatively assess the impact of an eV-mass sterile neutrino on the neutrinoless double-beta ($0\nu \beta \beta$) decays, we calculate the posterior probability distribution of the relevant effective neutrino mass $|m^\prime_{ee}|$ in the (3+1)$\nu$ mixing scenario, following the Bayesian statistical approach. The latest global-fit analysis of neutrino oscillation data, the cosmological bound on the sum of three active neutrino masses from [*Planck*]{}, and the constraints from current $0\nu\beta\beta$ decay experiments are taken into account in our calculations. Based on the resultant posterior distributions, we find that the average value of the effective neutrino mass is shifted from $\overline{|m^{}_{ee}|} = 3.37\times 10^{-3}~{\rm eV}$ (or $7.71\times 10^{-3}~{\rm eV}$) in the standard 3$\nu$ mixing scenario to $\overline{|m^{\prime}_{ee}|}=2.54\times 10^{-2}~{\rm eV}$ (or $2.56\times 10^{-2}~{\rm eV}$) in the (3+1)$\nu$ mixing scenario, with the logarithmically uniform prior on the lightest neutrino mass (or on the sum of three active neutrino masses). Therefore, a null signal from | ---
abstract: 'To quantitatively assess the impact of an eV-mass sterile neutrino on the neutrinoless double-beta ($0\nu \beta \beta$) decays, we calculate the posterior probability distribution of the relevant effective neutrino mass $|m^\prime_{ee}|$ in the (3+1)$\nu$ mixing scenario, following the Bayesian statistical approach. The latest global-fit analysis of neutrino oscillation data, the cosmological bound on the sum of three active neutrino masses from [*Planck*]{}, and the constraints from current $0\nu\beta\beta$ decay experiments are taken into account in our calculations. Based on the resultant posterior distributions, we find that the average value of the effective neutrino mass is shifted from $\overline{|m^{}_{ee}|} = 3.37\times 10^{-3}~{\rm eV}$ (or $7.71\times 10^{-3}~{\rm eV}$) in the standard 3$\nu$ mixing scenario to $\overline{|m^{\prime}_{ee}|}=2.54\times 10^{-2}~{\rm eV}$ (or $2.56\times 10^{-2}~{\rm eV}$) in the (3+1)$\nu$ mixing scenario, with the logarithmically uniform prior on the lightest neutrino mass (or on the sum of three active neutrino masses). Therefore, a null signal from[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] Introduction
============
Quantum spin models in low dimensionality are currently used to describe the magnetic properties of several materials including rare earths, organic compounds, transition metals and copper oxides. Available experimental data in these systems, especially magnetic resonance and neutron scattering, allow to establish the local structure as well as the most relevant features of the long range correlations. These studies generally show that magnetic materials can be accurately described by short range spin hamiltonians, at least in temperature regimes where the effects of disorder, the presence of spatial anisotropies or of dipolar interactions are negligible. The possibility to use simple spin hamiltonians to understand the physics of real systems has always been the drawing force for the development of more and more accurate methods to study the phase diagram of these models. Purely analytical techniques, like spin-waves expansions or mean field theories [@swt] have shown to be quite accurate when magnetic | Introduction
============
Quantum spin models in low dimensionality are currently used to describe the magnetic properties of several materials including rare earths, organic compounds, transition metals and copper oxides. Available experimental data in these systems, especially magnetic resonance and neutron scattering, allow to establish the local structure as well as the most relevant features of the long range correlations. These studies generally show that magnetic materials can be accurately described by short range spin hamiltonians, at least in temperature regimes where the effects of disorder, the presence of spatial anisotropies or of dipolar interactions are negligible. The possibility to use simple spin hamiltonians to understand the physics of real systems has always been the drawing force for the development of more and more accurate methods to study the phase diagram of these models. Purely analytical techniques, like spin-waves expansions or mean field theories [@swt] have shown to be quite accurate when magnetic[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We present a comparison between approximated methods for the construction of mock catalogs based on the halo-bias mapping technique. To this end, we use as reference a high resolution $N$-body simulation of 3840$^3$ dark matter particles on a 400$h^{-1}\rm{Mpc}$ cube box from the Multidark suite. In particular, we explore parametric versus non-parametric bias mapping approaches and compare them at reproducing the halo distribution in terms of the two and three point statistics down to $\sim 10^8\,{\rm M}_{\odot}\,h^{-1}$ halo masses. Our findings demonstrate that the parametric approach remains inaccurate even including complex deterministic and stochastic components. On the contrary, the non-parametric one is indistinguishable from the reference $N$-body calculation in the power-spectrum beyond $k=1\,h\,{\rm Mpc}^{-1}$, and in the bispectrum for typical configurations relevant to baryon acoustic oscillation analysis. We conclude, that approaches which extract the full bias information from $N$-body simulations in a non-parametric fashion are ready for the analysis | ---
abstract: 'We present a comparison between approximated methods for the construction of mock catalogs based on the halo-bias mapping technique. To this end, we use as reference a high resolution $N$-body simulation of 3840$^3$ dark matter particles on a 400$h^{-1}\rm{Mpc}$ cube box from the Multidark suite. In particular, we explore parametric versus non-parametric bias mapping approaches and compare them at reproducing the halo distribution in terms of the two and three point statistics down to $\sim 10^8\,{\rm M}_{\odot}\,h^{-1}$ halo masses. Our findings demonstrate that the parametric approach remains inaccurate even including complex deterministic and stochastic components. On the contrary, the non-parametric one is indistinguishable from the reference $N$-body calculation in the power-spectrum beyond $k=1\,h\,{\rm Mpc}^{-1}$, and in the bispectrum for typical configurations relevant to baryon acoustic oscillation analysis. We conclude, that approaches which extract the full bias information from $N$-body simulations in a non-parametric fashion are ready for the analysis[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'A bosonization of the quantum affine superalgebra $U_q(\widehat{sl}(M|N))$ is presented for an arbitrary level $k \in {\bf C}$. The Wakimoto realization is given by using $\xi-\eta$ system. The screening operators that commute with $U_q(\widehat{sl}(M|N))$ are presented for the level $k \neq -M+N$. New bosonization of the affine superalgebra $\widehat{sl}(M|N)$ is obtained in the limit $q \to 1$.'
---
[TAKEO KOJIMA]{}
Introduction {#sec:1}
============
Bosonization is a powerful method to study representation theory and its application to mathematical physics [@Frenkel]. Wakimoto realization is the bosonization that provides a bridge between representation theory of affine algebras and the geometry of the semi-infinite flag manifold. The Wakimoto realizations have been constructed for the affine Lie algebra $g=(ADE)^{(r)}~(r=1,2)$, $(BCFG)^{(1)}$ and $\widehat{sl}(M|N)$, ${osp}(2|2)^{(2)}$, $D(2,1,a)^{(1)}$ [@Wakimoto; @Feigin-Frenkel1; @Feigin-Frenkel2; @Ito-Komata; @Boer-Feher; @Szczesny; @Feher-Pusztai; @Ding-Gould-Zhang; @Yang-Zhang-Liu; @Iohara-Koga; @Shafiekhani-Chung]. They have been used to construct correlation functions of WZW models, in the study of Drinfeld-Sokolov reduction and $W$-algebras. It’s nontrivial to give quantum | ---
abstract: 'A bosonization of the quantum affine superalgebra $U_q(\widehat{sl}(M|N))$ is presented for an arbitrary level $k \in {\bf C}$. The Wakimoto realization is given by using $\xi-\eta$ system. The screening operators that commute with $U_q(\widehat{sl}(M|N))$ are presented for the level $k \neq -M+N$. New bosonization of the affine superalgebra $\widehat{sl}(M|N)$ is obtained in the limit $q \to 1$.'
---
[TAKEO KOJIMA]{}
Introduction {#sec:1}
============
Bosonization is a powerful method to study representation theory and its application to mathematical physics [@Frenkel]. Wakimoto realization is the bosonization that provides a bridge between representation theory of affine algebras and the geometry of the semi-infinite flag manifold. The Wakimoto realizations have been constructed for the affine Lie algebra $g=(ADE)^{(r)}~(r=1,2)$, $(BCFG)^{(1)}$ and $\widehat{sl}(M|N)$, ${osp}(2|2)^{(2)}$, $D(2,1,a)^{(1)}$ [@Wakimoto; @Feigin-Frenkel1; @Feigin-Frenkel2; @Ito-Komata; @Boer-Feher; @Szczesny; @Feher-Pusztai; @Ding-Gould-Zhang; @Yang-Zhang-Liu; @Iohara-Koga; @Shafiekhani-Chung]. They have been used to construct correlation functions of WZW models, in the study of Drinfeld-Sokolov reduction and $W$-algebras. It’s nontrivial to give quantum[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'V. Guruswami and N. Resch prove that the list decodability of ${\mathbb{F}}_q$-linear rank metric codes is as good as that of random rank metric codes in [@venkat2017]. Due to the potential applications of self-orthogonal rank metric codes, we focus on list decoding of them. In this paper, we prove that with high probability, an ${\mathbb{F}}_q$-linear self-orthogonal rank metric code over ${\mathbb{F}}_q^{n\times m}$ of rate $R=(1-\tau)(1-\frac{n}{m}\tau)-\epsilon$ is shown to be list decodable up to fractional radius $\tau\in(0,1)$ and small $\epsilon\in(0,1)$ with list size depending on $\tau$ and $q$ at most $O_{\tau, q}(\frac{1}{\epsilon})$. In addition, we show that an $\mathbb{F}_{q^m}$-linear self-orthogonal rank metric code of rate up to the Gilbert-Varshamov bound is $(\tau n, \exp(O_{\tau, q}(\frac{1}{\epsilon})))$-list decodable.'
author:
- 'Shu Liu [^1]'
title: |
On the List Decodability of Self-orthogonal\
Rank Metric Codes
---
Introduction
============
In the late 50’s, P. Elias [@P.E1957], [@P.E1991] and J. M. Wozencraft [@J.M.W1985] introduced list decoding. Compared with unique | ---
abstract: 'V. Guruswami and N. Resch prove that the list decodability of ${\mathbb{F}}_q$-linear rank metric codes is as good as that of random rank metric codes in [@venkat2017]. Due to the potential applications of self-orthogonal rank metric codes, we focus on list decoding of them. In this paper, we prove that with high probability, an ${\mathbb{F}}_q$-linear self-orthogonal rank metric code over ${\mathbb{F}}_q^{n\times m}$ of rate $R=(1-\tau)(1-\frac{n}{m}\tau)-\epsilon$ is shown to be list decodable up to fractional radius $\tau\in(0,1)$ and small $\epsilon\in(0,1)$ with list size depending on $\tau$ and $q$ at most $O_{\tau, q}(\frac{1}{\epsilon})$. In addition, we show that an $\mathbb{F}_{q^m}$-linear self-orthogonal rank metric code of rate up to the Gilbert-Varshamov bound is $(\tau n, \exp(O_{\tau, q}(\frac{1}{\epsilon})))$-list decodable.'
author:
- 'Shu Liu [^1]'
title: |
On the List Decodability of Self-orthogonal\
Rank Metric Codes
---
Introduction
============
In the late 50’s, P. Elias [@P.E1957], [@P.E1991] and J. M. Wozencraft [@J.M.W1985] introduced list decoding. Compared with unique[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The quantum duality principle (QDP) for homogeneous spaces gives four recipes to obtain, from a quantum homogeneous space, a dual one, in the sense of Poisson duality. One of these recipes fails (for lack of the initial ingredient) when the homogeneous space we start from is not a quasi-affine variety. In this work we solve this problem for the quantum Grassmannian, a key example of quantum projective homogeneous space, providing a suitable analogue of the QDP recipe.'
---
[ ]{} -1cm
**Quantum Duality Principle**
**for Quantum Grassmannians**
R. Fioresi$^{\,\flat,}$[[^1]]{}, F. Gavarini$^{\,\sharp}$
*$^\flat$ Dipartimento di Matematica, Università di Bologna*
*piazza di Porta S. Donato, 5 — I-40127 Bologna, ITALY*
[e-mail: fioresi@dm.unibo.it]{}
*$^\sharp$ Dipartimento di Matematica, Università di Roma “Tor Vergata”*
*via della ricerca scientifica 1 — I-00133 Roma, ITALY*
[e-mail: gavarini@mat.uniroma2.it]{}
1,3cm
[ [*Quantum Grassmann Varieties*]{}.]{}
[2000 [*MSC:*]{} Primary 20G42, 14M15; Secondary 17B37, 17B62.]{}
Introduction {#intro}
============
In the theory of quantum groups, the geometrical objects that one takes into consideration are affine algebraic Poisson groups and their | ---
abstract: 'The quantum duality principle (QDP) for homogeneous spaces gives four recipes to obtain, from a quantum homogeneous space, a dual one, in the sense of Poisson duality. One of these recipes fails (for lack of the initial ingredient) when the homogeneous space we start from is not a quasi-affine variety. In this work we solve this problem for the quantum Grassmannian, a key example of quantum projective homogeneous space, providing a suitable analogue of the QDP recipe.'
---
[ ]{} -1cm
**Quantum Duality Principle**
**for Quantum Grassmannians**
R. Fioresi$^{\,\flat,}$[[^1]]{}, F. Gavarini$^{\,\sharp}$
*$^\flat$ Dipartimento di Matematica, Università di Bologna*
*piazza di Porta S. Donato, 5 — I-40127 Bologna, ITALY*
[e-mail: fioresi@dm.unibo.it]{}
*$^\sharp$ Dipartimento di Matematica, Università di Roma “Tor Vergata”*
*via della ricerca scientifica 1 — I-00133 Roma, ITALY*
[e-mail: gavarini@mat.uniroma2.it]{}
1,3cm
[ [*Quantum Grassmann Varieties*]{}.]{}
[2000 [*MSC:*]{} Primary 20G42, 14M15; Secondary 17B37, 17B62.]{}
Introduction {#intro}
============
In the theory of quantum groups, the geometrical objects that one takes into consideration are affine algebraic Poisson groups and their[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'This text offers reminiscences of my personal interactions with Roman Jackiw as a way of looking back at the very fertile period in theoretical physics in the last quarter of the 20th century.'
author:
- |
Luc Vinet\
\
title: 'Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics'
---
*To Roman: a bouquet of recollections as an expression of friendship.*
Introduction
============
I owe much to Roman Jackiw: my postdoctoral fellowship at MIT under his supervision has shaped my scientific life and becoming friend with him and So Young Pi has been a privilege. Looking back at the last decades of the past century gives a sense without undue nostalgia, I think, that those were wonderful years for Theoretical Physics, years that have witnessed the preeminence of gauge field theories, deep interactions with modern geometry and topology, the overwhelming revival of string theory and remarkably fruitful interactions between | ---
abstract: 'This text offers reminiscences of my personal interactions with Roman Jackiw as a way of looking back at the very fertile period in theoretical physics in the last quarter of the 20th century.'
author:
- |
Luc Vinet\
\
title: 'Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics'
---
*To Roman: a bouquet of recollections as an expression of friendship.*
Introduction
============
I owe much to Roman Jackiw: my postdoctoral fellowship at MIT under his supervision has shaped my scientific life and becoming friend with him and So Young Pi has been a privilege. Looking back at the last decades of the past century gives a sense without undue nostalgia, I think, that those were wonderful years for Theoretical Physics, years that have witnessed the preeminence of gauge field theories, deep interactions with modern geometry and topology, the overwhelming revival of string theory and remarkably fruitful interactions between[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- Francis OGER
title: '**Equivalence élémentaire entre pavages**'
---
**TILINGS AND ASSOCIATED RELATIONAL STRUCTURES**
Francis OGER
**Abstract.** In the present paper, as we did previously in \[7\], we investigate the relations between the geometric properties of tilings and the algebraic properties of associated relational structures. Our study is motivated by the existence of aperiodic tiling systems. In \[7\], we considered tilings of the euclidean spaces $%
%TCIMACRO{\U{211d} }%
%BeginExpansion
\mathbb{R}
%EndExpansion
^{k}$, and isomorphism was defined up to translation. Here, we consider, more generally, tilings of a metric space, and isomorphism is defined modulo an arbitrary group of isometries.
In Section 1, we define the relational structures associated to tilings. The results of Section 2 concern local isomorphism, the extraction preorder and the characterization of relational structures which can be represented by tilings of some given type.
In Section 3, we show that the notions of periodicity and invariance through a translation, defined for tilings of the euclidean spaces $%
%TCIMACRO{\U{211d} }%
%BeginExpansion
\mathbb{R}
%EndExpansion
^{k}$, can | ---
author:
- Francis OGER
title: '**Equivalence élémentaire entre pavages**'
---
**TILINGS AND ASSOCIATED RELATIONAL STRUCTURES**
Francis OGER
**Abstract.** In the present paper, as we did previously in \[7\], we investigate the relations between the geometric properties of tilings and the algebraic properties of associated relational structures. Our study is motivated by the existence of aperiodic tiling systems. In \[7\], we considered tilings of the euclidean spaces $%
%TCIMACRO{\U{211d} }%
%BeginExpansion
\mathbb{R}
%EndExpansion
^{k}$, and isomorphism was defined up to translation. Here, we consider, more generally, tilings of a metric space, and isomorphism is defined modulo an arbitrary group of isometries.
In Section 1, we define the relational structures associated to tilings. The results of Section 2 concern local isomorphism, the extraction preorder and the characterization of relational structures which can be represented by tilings of some given type.
In Section 3, we show that the notions of periodicity and invariance through a translation, defined for tilings of the euclidean spaces $%
%TCIMACRO{\U{211d} }%
%BeginExpansion
\mathbb{R}
%EndExpansion
^{k}$, can[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain is studied. Using transfer-matrix method we found the behavior of the correlation function and zero-field susceptibility at the ferromagnetic-helical transition point. It is shown that the critical exponent for the susceptibility is changed from 2 to 4/3 at the transition point.'
author:
- 'D. V. Dmitriev'
- 'V. Ya. Krivnov'
title: 'Thermodynamics of classical frustrated spin chain at the ferromagnet-helimagnet transition point'
---
Lately, there has been considerable interest in low-dimensional spin models that exhibit frustration. One of them is the spin chain with the ferromagnetic interaction $J_{1}$ of nearest neighbor (NN) spins and the antiferromagnetic next-nearest-neighbor (NNN) interaction $J_{2}$, so called the 1D F-AF model. Its Hamiltonian has a form $$H=J_{1}\sum \mathbf{S}_{n}\mathbf{\cdot S}_{n+1}+J_{2}\sum \mathbf{S}_{n}%
\mathbf{\cdot S}_{n+2} \label{H}$$where $J_{1}<0$ and $J_{2}>0$.
This model is characterized by a frustration parameter $\alpha
=J_{2}/|J_{1}| $. The ground state properties of the quantum $s=1/2$ F-AF chain have been intensively studied last years [@Chubukov; @DK06; @HM; @Hikihara]. | ---
abstract: 'Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain is studied. Using transfer-matrix method we found the behavior of the correlation function and zero-field susceptibility at the ferromagnetic-helical transition point. It is shown that the critical exponent for the susceptibility is changed from 2 to 4/3 at the transition point.'
author:
- 'D. V. Dmitriev'
- 'V. Ya. Krivnov'
title: 'Thermodynamics of classical frustrated spin chain at the ferromagnet-helimagnet transition point'
---
Lately, there has been considerable interest in low-dimensional spin models that exhibit frustration. One of them is the spin chain with the ferromagnetic interaction $J_{1}$ of nearest neighbor (NN) spins and the antiferromagnetic next-nearest-neighbor (NNN) interaction $J_{2}$, so called the 1D F-AF model. Its Hamiltonian has a form $$H=J_{1}\sum \mathbf{S}_{n}\mathbf{\cdot S}_{n+1}+J_{2}\sum \mathbf{S}_{n}%
\mathbf{\cdot S}_{n+2} \label{H}$$where $J_{1}<0$ and $J_{2}>0$.
This model is characterized by a frustration parameter $\alpha
=J_{2}/|J_{1}| $. The ground state properties of the quantum $s=1/2$ F-AF chain have been intensively studied last years [@Chubukov; @DK06; @HM; @Hikihara].[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We consider a new interaction between a heavy Majorana neutrino ($N$) and a charged Higgs boson ($H^\pm$), and show that it can have drastic implications on lepton number violating (LNV) signal of same-sign dileptons at the LHC. The LNV signal of heavy Majorana neutrinos previously considered at the LHC, $pp \to \ell^+ N \to \ell^+ \ell^+ W^-$, may be overwhelmed by $pp \to \ell^+ N \to \ell^+ \ell^+ H^-$. With the subsequent decays $H^- \to \bar t b$ or $H^- \to W^- H^0$, the heavy Majorana neutrino production leads to the spectacular events of $\ell^+ \ell^+\ b \bar b$ + 2 jets. We also explore the case $m_N < m_{H^+}$, where the decay $H^+ \to \ell^+ N$ can become the dominant $N$-production mechanism at the LHC. In particular, we show that the process $g b \to t H^-$ followed by $t \to b W^+$ and $H^- \to \ell^- | ---
abstract: 'We consider a new interaction between a heavy Majorana neutrino ($N$) and a charged Higgs boson ($H^\pm$), and show that it can have drastic implications on lepton number violating (LNV) signal of same-sign dileptons at the LHC. The LNV signal of heavy Majorana neutrinos previously considered at the LHC, $pp \to \ell^+ N \to \ell^+ \ell^+ W^-$, may be overwhelmed by $pp \to \ell^+ N \to \ell^+ \ell^+ H^-$. With the subsequent decays $H^- \to \bar t b$ or $H^- \to W^- H^0$, the heavy Majorana neutrino production leads to the spectacular events of $\ell^+ \ell^+\ b \bar b$ + 2 jets. We also explore the case $m_N < m_{H^+}$, where the decay $H^+ \to \ell^+ N$ can become the dominant $N$-production mechanism at the LHC. In particular, we show that the process $g b \to t H^-$ followed by $t \to b W^+$ and $H^- \to \ell^-[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
The <span style="font-variant:small-caps;">Pythia</span> program is a standard tool for the generation of high-energy collisions, comprising a coherent set of physics models for the evolution from a few-body hard process to a complex multihadronic final state. It contains a library of hard processes and models for initial- and final-state parton showers, multiple parton-parton interactions, beam remnants, string fragmentation and particle decays. It also has a set of utilities and interfaces to external programs. While previous versions were written in Fortran, <span style="font-variant:small-caps;">Pythia</span> 8 represents a complete rewrite in C++. The current release is the first main one after this transition, and does not yet in every respect replace the old code. It does contain some new physics aspects, on the other hand, that should make it an attractive option especially for LHC physics studies.
PACS: 13.66.-a, 13.85.-t, 12.38.-t, 12.15.-y, 12.60.-i
event | ---
abstract: |
The <span style="font-variant:small-caps;">Pythia</span> program is a standard tool for the generation of high-energy collisions, comprising a coherent set of physics models for the evolution from a few-body hard process to a complex multihadronic final state. It contains a library of hard processes and models for initial- and final-state parton showers, multiple parton-parton interactions, beam remnants, string fragmentation and particle decays. It also has a set of utilities and interfaces to external programs. While previous versions were written in Fortran, <span style="font-variant:small-caps;">Pythia</span> 8 represents a complete rewrite in C++. The current release is the first main one after this transition, and does not yet in every respect replace the old code. It does contain some new physics aspects, on the other hand, that should make it an attractive option especially for LHC physics studies.
PACS: 13.66.-a, 13.85.-t, 12.38.-t, 12.15.-y, 12.60.-i
event[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We propose a method for the approximation of solutions of PDEs with stochastic coefficients based on the direct, i.e., non-adapted, sampling of solutions. This sampling can be done by using any legacy code for the deterministic problem as a black box. The method converges in probability (with probabilistic error bounds) as a consequence of sparsity and a concentration of measure phenomenon on the empirical correlation between samples. We show that the method is well suited for truly high-dimensional problems (with slow decay in the spectrum).'
address:
- 'Aerospace Engineering Sciences Department, University of Colorado, Boulder, CO 80309, USA'
- 'Applied & Computational Mathematics Department, California Institute of Technology, Pasadena, CA 91125, USA'
author:
- Alireza Doostan
- Houman Owhadi
bibliography:
- 'AD\_bib\_v1.bib'
title: 'A non-adapted sparse approximation of PDEs with stochastic inputs'
---
[Polynomial chaos; Uncertainty quantification; Stochastic PDE; Compressive sampling; Sparse approximation]{}
Introduction {#sec:intro}
============
Realistic analysis and design of complex engineering systems require not only a fine understanding and modeling of | ---
abstract: 'We propose a method for the approximation of solutions of PDEs with stochastic coefficients based on the direct, i.e., non-adapted, sampling of solutions. This sampling can be done by using any legacy code for the deterministic problem as a black box. The method converges in probability (with probabilistic error bounds) as a consequence of sparsity and a concentration of measure phenomenon on the empirical correlation between samples. We show that the method is well suited for truly high-dimensional problems (with slow decay in the spectrum).'
address:
- 'Aerospace Engineering Sciences Department, University of Colorado, Boulder, CO 80309, USA'
- 'Applied & Computational Mathematics Department, California Institute of Technology, Pasadena, CA 91125, USA'
author:
- Alireza Doostan
- Houman Owhadi
bibliography:
- 'AD\_bib\_v1.bib'
title: 'A non-adapted sparse approximation of PDEs with stochastic inputs'
---
[Polynomial chaos; Uncertainty quantification; Stochastic PDE; Compressive sampling; Sparse approximation]{}
Introduction {#sec:intro}
============
Realistic analysis and design of complex engineering systems require not only a fine understanding and modeling of[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
address:
- |
Department of Physics, Northeastern University\
Boston, MA 02115, USA\
E-mail: corsetti@neu.edu
- |
Department of Physics, Northeastern University, Boston, MA 02115, USA[^1]\
Physikalisches Institut, Universitat Bonn, Nussallee 12, D-53115 Bonn, Germany\
Max-Planck-Institute fuer Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany\
E-mail: nath@neu.edu
author:
- ACHILLE CORSETTI
- PRAN NATH
title: RECENT DEVELOPMENTS IN SUPERSYMMETRIC DARK MATTER
---
=cmr8
1.5pt
\#1\#2\#3\#4[[\#1]{} [**\#2**]{}, \#3 (\#4)]{}
Introduction
============
Because of the recent significant activity in dark matter searches on the experimental side[@dama; @cdms; @hdms] there is renewed interest in the theoretical analyses of dark matter which are significantly more refined than in the previous years. Among the refinements is the inclusions of the effects of uncertainties in the input parameters in the theoretical predictions of event rates and of the neutralino proton cross sections as well inclusion of the effects of non-universalities, CP | ---
address:
- |
Department of Physics, Northeastern University\
Boston, MA 02115, USA\
E-mail: corsetti@neu.edu
- |
Department of Physics, Northeastern University, Boston, MA 02115, USA[^1]\
Physikalisches Institut, Universitat Bonn, Nussallee 12, D-53115 Bonn, Germany\
Max-Planck-Institute fuer Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany\
E-mail: nath@neu.edu
author:
- ACHILLE CORSETTI
- PRAN NATH
title: RECENT DEVELOPMENTS IN SUPERSYMMETRIC DARK MATTER
---
=cmr8
1.5pt
\#1\#2\#3\#4[[\#1]{} [**\#2**]{}, \#3 (\#4)]{}
Introduction
============
Because of the recent significant activity in dark matter searches on the experimental side[@dama; @cdms; @hdms] there is renewed interest in the theoretical analyses of dark matter which are significantly more refined than in the previous years. Among the refinements is the inclusions of the effects of uncertainties in the input parameters in the theoretical predictions of event rates and of the neutralino proton cross sections as well inclusion of the effects of non-universalities, CP[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We use the formalisms of Holographic Space-time (HST) and Matrix Theory[@bfss] to investigate the claim of [@amps] that old black holes contain a firewall, [*i.e.*]{} an in-falling detector encounters highly excited states at a time much shorter than the light crossing time of the Schwarzschild radius. In both formalisms there is no dramatic change in particle physics inside the horizon until a time of order the Schwarzschild radius. The Matrix Theory formalism has been shown to give rise to an S-matrix, which coincides with effective supergravity for an infinite number of low energy amplitudes. We conclude that the firewall results from an inappropriate use of quantum effective field theory to describe fine details of localized events near a black hole horizon. In both HST and Matrix Theory, the real quantum gravity Hilbert space in a localized region contains many low energy degrees of freedom that are not captured in | ---
abstract: 'We use the formalisms of Holographic Space-time (HST) and Matrix Theory[@bfss] to investigate the claim of [@amps] that old black holes contain a firewall, [*i.e.*]{} an in-falling detector encounters highly excited states at a time much shorter than the light crossing time of the Schwarzschild radius. In both formalisms there is no dramatic change in particle physics inside the horizon until a time of order the Schwarzschild radius. The Matrix Theory formalism has been shown to give rise to an S-matrix, which coincides with effective supergravity for an infinite number of low energy amplitudes. We conclude that the firewall results from an inappropriate use of quantum effective field theory to describe fine details of localized events near a black hole horizon. In both HST and Matrix Theory, the real quantum gravity Hilbert space in a localized region contains many low energy degrees of freedom that are not captured in[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
We show here that the Hamiltonian for an electronic system may be written exactly in terms of fluctuation operators that transition constituent fragments between internally correlated states, accounting rigorously for inter-fragment electron exchange and charge transfer. Familiar electronic structure approaches can be applied to the renormalized Hamiltonian. For efficiency, the basis for each fragment can be truncated, removing high-energy local arrangements of electrons from consideration, and effectively defining collective coordinates for the fragments. For a large number of problems [ (especially for non-covalently interacting fragments), ]{} this has the potential to fold the majority of electron correlation into the effective Hamiltonian, and it should provide a robust approach to incorporating difficult electronic structure problems into large systems. The number of terms in the exactly transformed Hamiltonian formally scales quartically with system size, but this can be reduced to quadratic in the mesoscopic regime, to within | ---
abstract: |
We show here that the Hamiltonian for an electronic system may be written exactly in terms of fluctuation operators that transition constituent fragments between internally correlated states, accounting rigorously for inter-fragment electron exchange and charge transfer. Familiar electronic structure approaches can be applied to the renormalized Hamiltonian. For efficiency, the basis for each fragment can be truncated, removing high-energy local arrangements of electrons from consideration, and effectively defining collective coordinates for the fragments. For a large number of problems [ (especially for non-covalently interacting fragments), ]{} this has the potential to fold the majority of electron correlation into the effective Hamiltonian, and it should provide a robust approach to incorporating difficult electronic structure problems into large systems. The number of terms in the exactly transformed Hamiltonian formally scales quartically with system size, but this can be reduced to quadratic in the mesoscopic regime, to within[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'AM CVn systems are interacting binaries similar to cataclysmic variables (CVs), but more compact with orbital periods of less than 80 minutes. The primary is a white dwarf, whereas the nature of the secondary is not completely clear, yet. Abundances and composition of the outer layer of the secondary can be found by analysis of the accretion disk (presented by Nagel et al. these proceedings). Spectra from high-state AM CVn systems do not only show typical signatures of accretion disks, but also P Cygni line profiles, a sign of outflow being present in the system. Here we present the first quantitative spectral analysis of an accretion-disk wind in AM CVn systems. Emergent wind spectra are modeled with our 3-D Monte Carlo radiative transfer code WOMPAT. We show that P Cygni profiles can be reproduced with our wind models.'
author:
- 'D.-J. Kusterer, T. Nagel, and K. Werner'
title: 'Accretion Disk Winds in | ---
abstract: 'AM CVn systems are interacting binaries similar to cataclysmic variables (CVs), but more compact with orbital periods of less than 80 minutes. The primary is a white dwarf, whereas the nature of the secondary is not completely clear, yet. Abundances and composition of the outer layer of the secondary can be found by analysis of the accretion disk (presented by Nagel et al. these proceedings). Spectra from high-state AM CVn systems do not only show typical signatures of accretion disks, but also P Cygni line profiles, a sign of outflow being present in the system. Here we present the first quantitative spectral analysis of an accretion-disk wind in AM CVn systems. Emergent wind spectra are modeled with our 3-D Monte Carlo radiative transfer code WOMPAT. We show that P Cygni profiles can be reproduced with our wind models.'
author:
- 'D.-J. Kusterer, T. Nagel, and K. Werner'
title: 'Accretion Disk Winds in[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
The *approximate degree* of a Boolean function $f(x_{1},x_{2},\ldots,x_{n})$ is the minimum degree of a real polynomial that approximates $f$ pointwise within $1/3$. Upper bounds on approximate degree have a variety of applications in learning theory, differential privacy, and algorithm design in general. Nearly all known upper bounds on approximate degree arise in an existential manner from bounds on quantum query complexity.
We develop a first-principles, classical approach to the polynomial approximation of Boolean functions. We use it to give the first constructive upper bounds on the approximate degree of several fundamental problems:
1. $O\bigl(n^{\frac{3}{4}-\frac{1}{4(2^{k}-1)}}\bigr)$ for the $k$-element distinctness problem;
2. $O(n^{1-\frac{1}{k+1}})$ for the $k$-subset sum problem;
3. $O(n^{1-\frac{1}{k+1}})$ for any $k$-DNF or $k$-CNF formula;
4. $O(n^{3/4})$ for the surjectivity problem.
In all cases, | ---
abstract: |
The *approximate degree* of a Boolean function $f(x_{1},x_{2},\ldots,x_{n})$ is the minimum degree of a real polynomial that approximates $f$ pointwise within $1/3$. Upper bounds on approximate degree have a variety of applications in learning theory, differential privacy, and algorithm design in general. Nearly all known upper bounds on approximate degree arise in an existential manner from bounds on quantum query complexity.
We develop a first-principles, classical approach to the polynomial approximation of Boolean functions. We use it to give the first constructive upper bounds on the approximate degree of several fundamental problems:
1. $O\bigl(n^{\frac{3}{4}-\frac{1}{4(2^{k}-1)}}\bigr)$ for the $k$-element distinctness problem;
2. $O(n^{1-\frac{1}{k+1}})$ for the $k$-subset sum problem;
3. $O(n^{1-\frac{1}{k+1}})$ for any $k$-DNF or $k$-CNF formula;
4. $O(n^{3/4})$ for the surjectivity problem.
In all cases,[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We consider the Landau-Khalatnikov two-fluid hydrodynamics of superfluid liquid [@Khalatnikov] as an effective theory, which provides a self-consistent analog of Einstein equations for gravity and matter.'
address: |
Helsinki University of Technology, Low Temperature Laboratory, P.O. Box 2200, FIN-02015 HUT, Finland\
L. D. Landau Institute for Theoretical Physics, RAS, Kosygin Str. 2, 117940 Moscow, Russia
author:
- 'G.E. Volovik'
title: Links between gravity and dynamics of quantum liquids
---
**IV International Conference “Cosmology. Relativistic Astropohysics. Cosmoparticle Physics”.**
(COSMION-99)
In the Honor of 80-th Birthday of Isaak M. Khalatnikov
Introduction. Physical vacuum as condensed matter.
==================================================
In a modern viewpoint the relativistic quantum field theory is an effective theory [@Weinberg]. It is an emergent phenomenon arising in the low energy corner of the physical fermionic vacuum – the medium, whose nature remains unknown. Also it is argued that in the low energy corner the symmetry must be enhanced [@Chadha]: If we neglect the | ---
abstract: 'We consider the Landau-Khalatnikov two-fluid hydrodynamics of superfluid liquid [@Khalatnikov] as an effective theory, which provides a self-consistent analog of Einstein equations for gravity and matter.'
address: |
Helsinki University of Technology, Low Temperature Laboratory, P.O. Box 2200, FIN-02015 HUT, Finland\
L. D. Landau Institute for Theoretical Physics, RAS, Kosygin Str. 2, 117940 Moscow, Russia
author:
- 'G.E. Volovik'
title: Links between gravity and dynamics of quantum liquids
---
**IV International Conference “Cosmology. Relativistic Astropohysics. Cosmoparticle Physics”.**
(COSMION-99)
In the Honor of 80-th Birthday of Isaak M. Khalatnikov
Introduction. Physical vacuum as condensed matter.
==================================================
In a modern viewpoint the relativistic quantum field theory is an effective theory [@Weinberg]. It is an emergent phenomenon arising in the low energy corner of the physical fermionic vacuum – the medium, whose nature remains unknown. Also it is argued that in the low energy corner the symmetry must be enhanced [@Chadha]: If we neglect the[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Recently, Valiviita et al. (2008) have reported a large-scale early-time instability in coupled dark energy and dark matter models. We take the same form of energy-momentum exchange and specialise to the case when the interaction rate is proportional to Hubble’s parameter and the dark energy density only. Provided the coupling is made small enough for a given equation of state parameter, we show that the instability can be avoided. Expressions are derived for non-adiabatic modes on super-horizon scales in both the radiation and matter dominated regimes. We also examine the growth of dark matter perturbations in the sub-horizon limit. There we find that the coupling has almost no effect upon the growth of structure before dark energy begins to dominate. Once the universe begins to accelerate, the relative dark matter density fluctuations not only cease to grow as in uncoupled models, but actually decay as the universe continues to | ---
abstract: 'Recently, Valiviita et al. (2008) have reported a large-scale early-time instability in coupled dark energy and dark matter models. We take the same form of energy-momentum exchange and specialise to the case when the interaction rate is proportional to Hubble’s parameter and the dark energy density only. Provided the coupling is made small enough for a given equation of state parameter, we show that the instability can be avoided. Expressions are derived for non-adiabatic modes on super-horizon scales in both the radiation and matter dominated regimes. We also examine the growth of dark matter perturbations in the sub-horizon limit. There we find that the coupling has almost no effect upon the growth of structure before dark energy begins to dominate. Once the universe begins to accelerate, the relative dark matter density fluctuations not only cease to grow as in uncoupled models, but actually decay as the universe continues to[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Two basic features of assemblages of unicellular plankton: (1) their high biodiversity and (2) the power-law structure of their abundance, can be explained by an allometric scaling of cell growth and mortality with respect to cell size. To show this, we describe a numerical study of a size-structured, multispecies, population-dynamic model; the model has a single resource, supporting an arbitrary number of phytoplankton and zooplankton species. If the number of plankton species is large enough, the death rate of prey and cell growth rate of predators have approximate allometric scalings with cell size. Together, these scalings give rise to an equilibrium distribution of abundance near the power law, on which many species can coexist. Scalings of this kind cannot be achieved if the number of species is small. This suggests that the conjunction of species-richness and power-law structures in plankton communities is more than a coincidence. Although the exact | ---
abstract: 'Two basic features of assemblages of unicellular plankton: (1) their high biodiversity and (2) the power-law structure of their abundance, can be explained by an allometric scaling of cell growth and mortality with respect to cell size. To show this, we describe a numerical study of a size-structured, multispecies, population-dynamic model; the model has a single resource, supporting an arbitrary number of phytoplankton and zooplankton species. If the number of plankton species is large enough, the death rate of prey and cell growth rate of predators have approximate allometric scalings with cell size. Together, these scalings give rise to an equilibrium distribution of abundance near the power law, on which many species can coexist. Scalings of this kind cannot be achieved if the number of species is small. This suggests that the conjunction of species-richness and power-law structures in plankton communities is more than a coincidence. Although the exact[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
In the presence of the primordial magnetic field, initial vector (vorticity) perturbations produce cosmological Alfvén waves and leave imprints on cosmic microwave background (CMB) temperature and polarization anisotropy.
We have investigated imprints of cosmological Alfvén waves in CMB anisotropy. For data constraints, we have used the power spectrum of the recent CMB observations, and correlations estimated from WMAP Internal Linear Combination (ILC) maps. Our analysis shows 3$\sigma$ evidence of cosmological Alfvén waves. Using the 3$\sigma$ limit from our analysis and the Alfvén velocity limit from the total energy density constraint, we impose a lower bound on the amplitude of primordial vector perturbation: $4\times 10^{-12}$ at $k_0=0.002/\mathrm{Mpc}$.
address: '$^1$ Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark'
author:
- Jaiseung Kim$^1$ and Pavel Naselsky$^1$
bibliography:
- '/home/tac/jkim/Documents/bibliography.bib'
title: 'Cosmological Alfvén waves in the recent CMB data, and the observational bound on the primordial vector perturbation'
---
Introduction
============
There are strong observational evidences | ---
abstract: |
In the presence of the primordial magnetic field, initial vector (vorticity) perturbations produce cosmological Alfvén waves and leave imprints on cosmic microwave background (CMB) temperature and polarization anisotropy.
We have investigated imprints of cosmological Alfvén waves in CMB anisotropy. For data constraints, we have used the power spectrum of the recent CMB observations, and correlations estimated from WMAP Internal Linear Combination (ILC) maps. Our analysis shows 3$\sigma$ evidence of cosmological Alfvén waves. Using the 3$\sigma$ limit from our analysis and the Alfvén velocity limit from the total energy density constraint, we impose a lower bound on the amplitude of primordial vector perturbation: $4\times 10^{-12}$ at $k_0=0.002/\mathrm{Mpc}$.
address: '$^1$ Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark'
author:
- Jaiseung Kim$^1$ and Pavel Naselsky$^1$
bibliography:
- '/home/tac/jkim/Documents/bibliography.bib'
title: 'Cosmological Alfvén waves in the recent CMB data, and the observational bound on the primordial vector perturbation'
---
Introduction
============
There are strong observational evidences[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] Introduction. Macroscopic models for multilane traffic dynamics {#sec:intro}
===============================================================
The study of traffic flow formed actually a novel branch of physics since the pioneering works by Lighthill and Whitham [@LW55], Richards [@R56], and, then, by Prigogine and Herman [@PH71]. It is singled out by the fact that in spite of [*motivated*]{}, i.e. a non-physical individual behavior of moving vehicles (they make up a so-called ensemble of “self-driven particles”, see, e.g., [@a1; @a2; @a3]), traffic flow exhibits a wide class of critical and self-organization phenomena met in physical systems (for a review see [@KL1; @KL2; @KL3]). Besides, the methods of statistical physics turn out to be a useful basis for the theoretical description of traffic dynamics [@H97].
The existence of a new basic phase in vehicle flow on multilane highways called the synchronized motion was recently discovered by Kerner and Rehborn [@KR2], impacting significantly the physics of traffics as a whole. In particular, it | Introduction. Macroscopic models for multilane traffic dynamics {#sec:intro}
===============================================================
The study of traffic flow formed actually a novel branch of physics since the pioneering works by Lighthill and Whitham [@LW55], Richards [@R56], and, then, by Prigogine and Herman [@PH71]. It is singled out by the fact that in spite of [*motivated*]{}, i.e. a non-physical individual behavior of moving vehicles (they make up a so-called ensemble of “self-driven particles”, see, e.g., [@a1; @a2; @a3]), traffic flow exhibits a wide class of critical and self-organization phenomena met in physical systems (for a review see [@KL1; @KL2; @KL3]). Besides, the methods of statistical physics turn out to be a useful basis for the theoretical description of traffic dynamics [@H97].
The existence of a new basic phase in vehicle flow on multilane highways called the synchronized motion was recently discovered by Kerner and Rehborn [@KR2], impacting significantly the physics of traffics as a whole. In particular, it[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We propose a scheme for the observation of micro-macro entanglement in photon number based on amplifying and de-amplifying a single-photon entangled state in combination with homodyne quantum state tomography. The created micro-macro entangled state, which exists between the amplification and de-amplification steps, is a superposition of two components with mean photon numbers that differ by approximately a factor of three. We show that for reasonable values of photon loss it should be possible to detect micro-macro photon-number entanglement where the macro system has a mean number of one hundred photons or more.'
author:
- 'Roohollah Ghobadi$^{1,2}$, Alexander Lvovsky$^1$, and Christoph Simon$^1$'
title: 'Creating and detecting micro-macro photon-number entanglement by amplifying and de-amplifying a single-photon entangled state'
---
The goal of pushing the observation of quantum effects such as superpositions and entanglement towards the macroscopic level is currently being pursued in a number of different fields, including trapped ions [@Monroe96], superconducting circuits [@Friedman00], nano-mechanics [@Connell10], | ---
abstract: 'We propose a scheme for the observation of micro-macro entanglement in photon number based on amplifying and de-amplifying a single-photon entangled state in combination with homodyne quantum state tomography. The created micro-macro entangled state, which exists between the amplification and de-amplification steps, is a superposition of two components with mean photon numbers that differ by approximately a factor of three. We show that for reasonable values of photon loss it should be possible to detect micro-macro photon-number entanglement where the macro system has a mean number of one hundred photons or more.'
author:
- 'Roohollah Ghobadi$^{1,2}$, Alexander Lvovsky$^1$, and Christoph Simon$^1$'
title: 'Creating and detecting micro-macro photon-number entanglement by amplifying and de-amplifying a single-photon entangled state'
---
The goal of pushing the observation of quantum effects such as superpositions and entanglement towards the macroscopic level is currently being pursued in a number of different fields, including trapped ions [@Monroe96], superconducting circuits [@Friedman00], nano-mechanics [@Connell10],[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The magneto-optical imaging technique is used to visualize the penetration of the magnetic induction in YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ thin films during surface resistance measurements. The in-situ surface resistance measurements were performed at 7 GHz using the dielectric resonator method. When only the microwave magnetic field $H_{rf}$ is applied to the superconductor, no $H_{rf}$-induced vortex penetration is observed, even at high rf power. In contrast, in the presence of a constant magnetic field superimposed on $H_{rf}$ we observe a progression of the flux front as $H_{rf}$ is increased. A local thermometry method based on the measurement of the resonant frequency of the dielectric resonator placed on the YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ thin film shows that the $H_{rf}$–induced flux penetration is due to the increase of the film temperature.'
author:
- Julien Kermorvant
- 'Jean-Claude Mage'
- Bruno Marcilhac
- Yves Lemaître
- 'Jean-François Bobo'
- Cornelis Jacominus van der Beek
date:
-
-
title: 'Microwave heating-induced DC magnetic flux penetration in YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ superconducting thin | ---
abstract: 'The magneto-optical imaging technique is used to visualize the penetration of the magnetic induction in YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ thin films during surface resistance measurements. The in-situ surface resistance measurements were performed at 7 GHz using the dielectric resonator method. When only the microwave magnetic field $H_{rf}$ is applied to the superconductor, no $H_{rf}$-induced vortex penetration is observed, even at high rf power. In contrast, in the presence of a constant magnetic field superimposed on $H_{rf}$ we observe a progression of the flux front as $H_{rf}$ is increased. A local thermometry method based on the measurement of the resonant frequency of the dielectric resonator placed on the YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ thin film shows that the $H_{rf}$–induced flux penetration is due to the increase of the film temperature.'
author:
- Julien Kermorvant
- 'Jean-Claude Mage'
- Bruno Marcilhac
- Yves Lemaître
- 'Jean-François Bobo'
- Cornelis Jacominus van der Beek
date:
-
-
title: 'Microwave heating-induced DC magnetic flux penetration in YBa$_{2}$Cu$_{3}$O$_{7-\delta}$ superconducting thin[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- |
Maatoug Hassine$^1$ and Imen Kallel$^2$\
$^{1}$ FSM, Monastir University, Tunisie\
$^{2}$ Monastir University, Tunisie
title: '**A fast reconstruction algorithm for geometric inverse problems using topological sensitivity analysis and Dirichlet-Neumann cost functional approach**'
---
[**Abstract.**]{} This paper is concerned with the detection of objects immersed in anisotropic media from boundary measurements. We propose an accurate approach based on the Kohn-Vogelius formulation and the topological sensitivity analysis method. The inverse problem is formulated as a topology optimization one minimizing an energy like functional. A topological asymptotic expansion is derived for the anisotropic Laplace operator. The unknown object is reconstructed using a level-set curve of the topological gradient. The efficiency and accuracy of the proposed algorithm are illustrated by some numerical results.
[**Keywords.**]{} geometric inverse problem, anisotropic Laplace, Kohn-Vogelius formulation, sensitivity analysis, topological optimization.
[**2010 AMS subject classification.**]{} 49Q12, 65N21, 35N10 ¶ Ø [IR]{}
Introduction
============
In this work we | ---
author:
- |
Maatoug Hassine$^1$ and Imen Kallel$^2$\
$^{1}$ FSM, Monastir University, Tunisie\
$^{2}$ Monastir University, Tunisie
title: '**A fast reconstruction algorithm for geometric inverse problems using topological sensitivity analysis and Dirichlet-Neumann cost functional approach**'
---
[**Abstract.**]{} This paper is concerned with the detection of objects immersed in anisotropic media from boundary measurements. We propose an accurate approach based on the Kohn-Vogelius formulation and the topological sensitivity analysis method. The inverse problem is formulated as a topology optimization one minimizing an energy like functional. A topological asymptotic expansion is derived for the anisotropic Laplace operator. The unknown object is reconstructed using a level-set curve of the topological gradient. The efficiency and accuracy of the proposed algorithm are illustrated by some numerical results.
[**Keywords.**]{} geometric inverse problem, anisotropic Laplace, Kohn-Vogelius formulation, sensitivity analysis, topological optimization.
[**2010 AMS subject classification.**]{} 49Q12, 65N21, 35N10 ¶ Ø [IR]{}
Introduction
============
In this work we[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We report our study of the real-time charge counting statistics measured by a quantum point contact (QPC) coupled to a single quantum dot (QD) under different back-action strength. By tuning the QD-QPC coupling or QPC bias, we controlled the QPC back-action which drives the QD electrons out of thermal equilibrium. The random telegraph signal (RTS) statistics showed strong and tunable non-thermal-equilibrium saturation effect, which can be quantitatively characterized as a back-action induced tunneling out rate. We found that the QD-QPC coupling and QPC bias voltage played different roles on the back-action strength and cut-off energy.'
author:
- HaiOu Li
- Ming Xiao
- Gang Cao
- Cheng Zhou
- RuNan Shang
- Tao Tu
- GuangCan Guo
- HongWen Jiang
- GuoPing Guo
title: 'Back-action Induced Non-equilibrium Effect in Electron Charge Counting Statistics'
---
A quantum point contact (QPC) nearby a quantum dot (QD) is widely used to perform electron charge counting, which is important in many aspects such as the read-out | ---
abstract: 'We report our study of the real-time charge counting statistics measured by a quantum point contact (QPC) coupled to a single quantum dot (QD) under different back-action strength. By tuning the QD-QPC coupling or QPC bias, we controlled the QPC back-action which drives the QD electrons out of thermal equilibrium. The random telegraph signal (RTS) statistics showed strong and tunable non-thermal-equilibrium saturation effect, which can be quantitatively characterized as a back-action induced tunneling out rate. We found that the QD-QPC coupling and QPC bias voltage played different roles on the back-action strength and cut-off energy.'
author:
- HaiOu Li
- Ming Xiao
- Gang Cao
- Cheng Zhou
- RuNan Shang
- Tao Tu
- GuangCan Guo
- HongWen Jiang
- GuoPing Guo
title: 'Back-action Induced Non-equilibrium Effect in Electron Charge Counting Statistics'
---
A quantum point contact (QPC) nearby a quantum dot (QD) is widely used to perform electron charge counting, which is important in many aspects such as the read-out[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We investigate type I multiple orthogonal polynomials on $r$ intervals which have a common point at the origin and endpoints at the $r$ roots of unity $\omega^j$, $j=0,1,\ldots,r-1$, with $\omega = \exp(2\pi i/r)$. We use the weight function $|x|^\beta (1-x^r)^\alpha$, with $\alpha,\beta >-1$ for the multiple orthogonality relations. We give explicit formulas for the type I multiple orthogonal polynomials, the coefficients in the recurrence relation, the differential equation, and we obtain the asymptotic distribution of the zeros.'
author:
-
title: 'Jacobi-Angelesco multiple orthogonal polynomials on an $r$-star[^1]'
---
Multiple orthogonal polynomials; Jacobi-Angelesco polynomials; recurrence relation; differential equation; asymptotic zero distribution.
33C45; 42C05.
Introduction
============
Various families of multiple orthogonal polynomials have been worked out during the past few decennia, even though the notion of multiple orthogonality goes back at least to Hermite in the framework of Hermite-Padé approximation. There are two types of multiple orthogonal polynomials. Let $\vec{n}=(n_1,n_2,\ldots,n_r)$ be a multi-index of size $|\vec{n}| = n_1+n_2+\cdots+n_r$ | ---
abstract: 'We investigate type I multiple orthogonal polynomials on $r$ intervals which have a common point at the origin and endpoints at the $r$ roots of unity $\omega^j$, $j=0,1,\ldots,r-1$, with $\omega = \exp(2\pi i/r)$. We use the weight function $|x|^\beta (1-x^r)^\alpha$, with $\alpha,\beta >-1$ for the multiple orthogonality relations. We give explicit formulas for the type I multiple orthogonal polynomials, the coefficients in the recurrence relation, the differential equation, and we obtain the asymptotic distribution of the zeros.'
author:
-
title: 'Jacobi-Angelesco multiple orthogonal polynomials on an $r$-star[^1]'
---
Multiple orthogonal polynomials; Jacobi-Angelesco polynomials; recurrence relation; differential equation; asymptotic zero distribution.
33C45; 42C05.
Introduction
============
Various families of multiple orthogonal polynomials have been worked out during the past few decennia, even though the notion of multiple orthogonality goes back at least to Hermite in the framework of Hermite-Padé approximation. There are two types of multiple orthogonal polynomials. Let $\vec{n}=(n_1,n_2,\ldots,n_r)$ be a multi-index of size $|\vec{n}| = n_1+n_2+\cdots+n_r$[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Given an ensemble of mixed qubit states, it is possible to increase the purity of the constituent states using a procedure known as state purification. The reverse operation, which we refer to as dilution, produces a larger ensemble, while reducing the purity level of the systems. In this paper we find asymptotically optimal procedures for purification and dilution of an ensemble of independently and identically distributed mixed qubit states, for some given input and output purities and an asymptotic output rate. Our solution involves using the statistical tool of local asymptotic normality, which recasts the qubit problem in terms of attenuation and amplification of a single-mode displaced Gaussian state. Therefore, to obtain the qubit solutions, we must first solve the analogous problems in the Gaussian setup. We provide full solutions to all of the above, for the (global) trace-norm figure of merit.'
author:
- Peter Bowles
- Mădălin Guţă
- Gerardo Adesso
date: 'March | ---
abstract: 'Given an ensemble of mixed qubit states, it is possible to increase the purity of the constituent states using a procedure known as state purification. The reverse operation, which we refer to as dilution, produces a larger ensemble, while reducing the purity level of the systems. In this paper we find asymptotically optimal procedures for purification and dilution of an ensemble of independently and identically distributed mixed qubit states, for some given input and output purities and an asymptotic output rate. Our solution involves using the statistical tool of local asymptotic normality, which recasts the qubit problem in terms of attenuation and amplification of a single-mode displaced Gaussian state. Therefore, to obtain the qubit solutions, we must first solve the analogous problems in the Gaussian setup. We provide full solutions to all of the above, for the (global) trace-norm figure of merit.'
author:
- Peter Bowles
- Mădălin Guţă
- Gerardo Adesso
date: 'March[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
Recently, we have proposed *coordinated choices*, which are nondeterministic choices equipped with names. The main characteristic of coordinated choices is that they synchronize nondeterministic decision among choices of the same name.
The motivation of the synchronization mechanism is to solve a theoretical problem. So, as a practical programming language, we still want to use coordinated choices like standard ones. In other words, we want to avoid synchronization. Now, there are two problems: (i) practically, it is a bit complicated work to write a program using coordinated choices in which execution synchronization never happens; and (ii) theoretically, it is unknown whether any programs using standard choices can be written by using only coordinated ones.
In this paper, we define two simply typed lambda calculi called [$\lambda^\parallel$]{} equipped with standard choices and [$\lambda^{\parallel\omega}$]{} equipped with coordinated choices, and give compilation rules | ---
abstract: |
Recently, we have proposed *coordinated choices*, which are nondeterministic choices equipped with names. The main characteristic of coordinated choices is that they synchronize nondeterministic decision among choices of the same name.
The motivation of the synchronization mechanism is to solve a theoretical problem. So, as a practical programming language, we still want to use coordinated choices like standard ones. In other words, we want to avoid synchronization. Now, there are two problems: (i) practically, it is a bit complicated work to write a program using coordinated choices in which execution synchronization never happens; and (ii) theoretically, it is unknown whether any programs using standard choices can be written by using only coordinated ones.
In this paper, we define two simply typed lambda calculi called [$\lambda^\parallel$]{} equipped with standard choices and [$\lambda^{\parallel\omega}$]{} equipped with coordinated choices, and give compilation rules[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
We study regularity properties of solutions to reaction-diffusion equations ruled by the infinity laplacian operator. We focus our analysis in models presenting plateaus, i.e. regions where a non-negative solution vanishes identically. We obtain sharp geometric regularity estimates for solutions along the boundary of plateaus sets. In particular we show that the $(n-\epsilon)$-Hausdorff measure of the plateaus boundary is finite, for a universal number $\epsilon>0$.
**Keywords:** Reaction-diffusion equations, infinity laplacian, regularity
**AMS Subject Classifications:** 35J60, 35B65
author:
- 'Damião J. Araújo Raimundo Leitão Eduardo V. Teixeira'
title: Infinity Laplacian equation with strong absorptions
---
Introduction
============
The mathematical analysis of problems involving the infinity Laplacian operator, $$\label{infty_lap eq}
\Delta_\infty u := \sum\limits_{i,j} \partial_i u \partial_{ij} u \partial_{j} u = (D u)^TD^2u\; Du,$$ constitutes a beautiful chapter of the modern theory of partial differential equations, yet far from its denouement. The systematic study of problems | ---
abstract: |
We study regularity properties of solutions to reaction-diffusion equations ruled by the infinity laplacian operator. We focus our analysis in models presenting plateaus, i.e. regions where a non-negative solution vanishes identically. We obtain sharp geometric regularity estimates for solutions along the boundary of plateaus sets. In particular we show that the $(n-\epsilon)$-Hausdorff measure of the plateaus boundary is finite, for a universal number $\epsilon>0$.
**Keywords:** Reaction-diffusion equations, infinity laplacian, regularity
**AMS Subject Classifications:** 35J60, 35B65
author:
- 'Damião J. Araújo Raimundo Leitão Eduardo V. Teixeira'
title: Infinity Laplacian equation with strong absorptions
---
Introduction
============
The mathematical analysis of problems involving the infinity Laplacian operator, $$\label{infty_lap eq}
\Delta_\infty u := \sum\limits_{i,j} \partial_i u \partial_{ij} u \partial_{j} u = (D u)^TD^2u\; Du,$$ constitutes a beautiful chapter of the modern theory of partial differential equations, yet far from its denouement. The systematic study of problems[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We propose to use semiclassical methods to treat laser control problems of chemical reaction dynamics. Our basic strategy is as follows: Laser-driven chemical reactions are considered to consist of two processes. One is the wavepacket propagation on an adiabatic potential energy surface (PES), and the other is the electronic transition between PES’s. Because the latter process is mathematically equivalent to nonadiabatic transitions between Floquet (dressed) states, we can control such a process using the semiclassical Zhu-Nakamura theory for nonadiabatic transitions. For the former process, we incorporate semiclassical propagation methods such as the Herman-Kluk propagator into optimization procedures like optimal control theory. We show some numerical examples for our strategies. We also develop a semiclassical direct algorithm to treat the adiabatic propagation and nonadiabatic transitions as a whole.'
author:
- |
Hiroshi FUJISAKI, Yoshiaki TERANISHI$^{\spadesuit}$, Alexey KONDORSKIY,\
and Hiroki NAKAMURA[^1]\
[*Department of Theoretical | ---
abstract: 'We propose to use semiclassical methods to treat laser control problems of chemical reaction dynamics. Our basic strategy is as follows: Laser-driven chemical reactions are considered to consist of two processes. One is the wavepacket propagation on an adiabatic potential energy surface (PES), and the other is the electronic transition between PES’s. Because the latter process is mathematically equivalent to nonadiabatic transitions between Floquet (dressed) states, we can control such a process using the semiclassical Zhu-Nakamura theory for nonadiabatic transitions. For the former process, we incorporate semiclassical propagation methods such as the Herman-Kluk propagator into optimization procedures like optimal control theory. We show some numerical examples for our strategies. We also develop a semiclassical direct algorithm to treat the adiabatic propagation and nonadiabatic transitions as a whole.'
author:
- |
Hiroshi FUJISAKI, Yoshiaki TERANISHI$^{\spadesuit}$, Alexey KONDORSKIY,\
and Hiroki NAKAMURA[^1]\
[*Department of Theoretical[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'An important measure of bipartite entanglement is the entanglement of formation, which is defined as the minimum average pure state entanglement of all decompositions realizing a given state. A decomposition which achieves this minimum is called an *optimal* decomposition. However, as for the entanglement of formation, there is not much known about the structure of such optimal decompositions, except for some special cases, like states of two qubits or isotropic states. Here we present a necessary and sufficient condition for a set of pure states of a finite dimensional bipartite systems to form an optimal decomposition. This condition is well suited to treat the question, whether the entanglement of formation is additive or not.'
author:
- Tobias Prager
title: A necessary and sufficient condition for optimal decompositions
---
One of the main ingredients in quantum information theory is entanglement. Therefore, there have been many attempts to understand this property better. While in the case | ---
abstract: 'An important measure of bipartite entanglement is the entanglement of formation, which is defined as the minimum average pure state entanglement of all decompositions realizing a given state. A decomposition which achieves this minimum is called an *optimal* decomposition. However, as for the entanglement of formation, there is not much known about the structure of such optimal decompositions, except for some special cases, like states of two qubits or isotropic states. Here we present a necessary and sufficient condition for a set of pure states of a finite dimensional bipartite systems to form an optimal decomposition. This condition is well suited to treat the question, whether the entanglement of formation is additive or not.'
author:
- Tobias Prager
title: A necessary and sufficient condition for optimal decompositions
---
One of the main ingredients in quantum information theory is entanglement. Therefore, there have been many attempts to understand this property better. While in the case[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
address: 'Dept. of Physics & MIT Kavli Institute, Massachusetts Institute of Technology, Cambridge, MA 02139'
author:
- Max Tegmark
date: 'February 20 2005, published in [*“Universe or Multiverse?"*]{}, B. Carr ed., Cambridge University Press, 2007) '
title: The Multiverse Hierarchy
---
\#1 \#2[\#1, \#2.]{} \#1 \#2 \#3[\#1, \#2. \#3.]{} \#1 \#2 \#3 \#4[\#1, \#2. \#3. \#4.]{} \#1 \#2 \#3 \#4 \#5[\#1, \#2. \#3. \#4. \#5.]{}
\#1;\#2;\#3;\#4;\#5;\#6
\#1 \#2, [*\#3*]{}, [**\#4**]{}, \#5 (“\#6”)
\#1;\#2;\#3;\#4;\#5
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\label{#1}}
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\#1[to 0pt[\#1]{}]{}
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\#1[Figure \[\#1\]]{} \#1[Figure \[\#1\]]{}
\#1[Section \[\#1\]]{} \#1[Section \[\#1\]]{}
Parallel universes are now all the rage, cropping up in books, movies and even jokes: “You passed your exam in many parallel universes — but not this one." However, they are as controversial as they are popular, and it is important to ask whether they are within the purview of science, or merely silly | ---
address: 'Dept. of Physics & MIT Kavli Institute, Massachusetts Institute of Technology, Cambridge, MA 02139'
author:
- Max Tegmark
date: 'February 20 2005, published in [*“Universe or Multiverse?"*]{}, B. Carr ed., Cambridge University Press, 2007) '
title: The Multiverse Hierarchy
---
\#1 \#2[\#1, \#2.]{} \#1 \#2 \#3[\#1, \#2. \#3.]{} \#1 \#2 \#3 \#4[\#1, \#2. \#3. \#4.]{} \#1 \#2 \#3 \#4 \#5[\#1, \#2. \#3. \#4. \#5.]{}
\#1;\#2;\#3;\#4;\#5;\#6
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\#1 \#2, in [*\#3*]{}, ed. \#4 (\#5: \#6), p\#7
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\def\eeqa{\end{aligned}$$]{} \#1[equation (\[\#1\])]{} \#1[Equation (\[\#1\])]{} \#1[ (\[\#1\])]{}
\#1[Section \[\#1\]]{} \#1[Section \[\#1\]]{}
\#1[to 0pt[\#1]{}]{}
\#1[$$]{}
\#1[Figure \[\#1\]]{} \#1[Figure \[\#1\]]{}
\#1[Section \[\#1\]]{} \#1[Section \[\#1\]]{}
Parallel universes are now all the rage, cropping up in books, movies and even jokes: “You passed your exam in many parallel universes — but not this one." However, they are as controversial as they are popular, and it is important to ask whether they are within the purview of science, or merely silly[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'B. Plez'
- 'V.Hill'
- 'R. Cayrel'
- 'M. Spite'
- 'B. Barbuy'
- 'T.C. Beers'
- 'P. Bonifacio'
- 'F. Primas'
- 'B. Nordström'
date: 'Received/Accepted'
title: 'Lead abundance in the uranium star CS31082-001 [^1]'
---
Introduction
============
The detection of uranium in an old, very metal-poor star of the galactic halo, BPS , was first reported in Cayrel et al. ([@CHB01]). A greatly improved analysis, Hill et al. ([@HPC02]), (quoted as paper I) was made possible by a redetermination of crucial atomic data by Nilsson et al. ([@NIJL02; @NZL02]). Hill et al. have determined the abundance of U ($\log(\mathrm{U/H})+12. =-1.92 \pm 0.11$) and of Th ($\log(\mathrm{Th/H}) + 12 = -0.98 \pm 0.05$), in the usual scale $\log(n_H)=12.0$, in . These abundances have been used as cosmo-chronometers, comparing them to theoretical estimates of the initial production ratio. The time $ \Delta t$ in Gyr elapsed from the formation of the two actinides to now, is linked to the production ratio $\mathrm{(U/Th)_0}$ and the | ---
author:
- 'B. Plez'
- 'V.Hill'
- 'R. Cayrel'
- 'M. Spite'
- 'B. Barbuy'
- 'T.C. Beers'
- 'P. Bonifacio'
- 'F. Primas'
- 'B. Nordström'
date: 'Received/Accepted'
title: 'Lead abundance in the uranium star CS31082-001 [^1]'
---
Introduction
============
The detection of uranium in an old, very metal-poor star of the galactic halo, BPS , was first reported in Cayrel et al. ([@CHB01]). A greatly improved analysis, Hill et al. ([@HPC02]), (quoted as paper I) was made possible by a redetermination of crucial atomic data by Nilsson et al. ([@NIJL02; @NZL02]). Hill et al. have determined the abundance of U ($\log(\mathrm{U/H})+12. =-1.92 \pm 0.11$) and of Th ($\log(\mathrm{Th/H}) + 12 = -0.98 \pm 0.05$), in the usual scale $\log(n_H)=12.0$, in . These abundances have been used as cosmo-chronometers, comparing them to theoretical estimates of the initial production ratio. The time $ \Delta t$ in Gyr elapsed from the formation of the two actinides to now, is linked to the production ratio $\mathrm{(U/Th)_0}$ and the[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We introduce generalized Kazdan-Warner equations on Riemannian manifolds associated with a linear action of a torus on a complex vector space. We show the existence and the uniqueness of the solution of the equation on any compact Riemannian manifold. As an application, we give a direct proof of the Hitchin-Kobayashi correspondence for the solutions of the Abelian vortex equations on a compact Kähler manifold which are associated with a linear action of a torus on a complex vector space. Our generalized Kazdan-Warner equations for a special action of a torus give rise to the $tt^\ast$ equations [@CV1; @GL1].'
author:
- Natsuo Miyatake
title: 'Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space'
---
Introduction
============
Generalized Kazdan-Warner equations
-----------------------------------
Let $K$ be a connected subtorus of a real torus $T^d:=\U(1)^d$ with the Lie algebra $k\subseteq t^d$. We denote by $\iota^\ast: (t^d)^\ast \rightarrow k^\ast$ the dual map of the inclusion map $\iota: | ---
abstract: 'We introduce generalized Kazdan-Warner equations on Riemannian manifolds associated with a linear action of a torus on a complex vector space. We show the existence and the uniqueness of the solution of the equation on any compact Riemannian manifold. As an application, we give a direct proof of the Hitchin-Kobayashi correspondence for the solutions of the Abelian vortex equations on a compact Kähler manifold which are associated with a linear action of a torus on a complex vector space. Our generalized Kazdan-Warner equations for a special action of a torus give rise to the $tt^\ast$ equations [@CV1; @GL1].'
author:
- Natsuo Miyatake
title: 'Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space'
---
Introduction
============
Generalized Kazdan-Warner equations
-----------------------------------
Let $K$ be a connected subtorus of a real torus $T^d:=\U(1)^d$ with the Lie algebra $k\subseteq t^d$. We denote by $\iota^\ast: (t^d)^\ast \rightarrow k^\ast$ the dual map of the inclusion map $\iota:[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'For a system composed of nine qubits, we show that natural interactions among the qubits induce the time evolution that can be regarded, at discrete times, as the Rabi oscillation of a logical qubit. Neither fine tuning of the parameters nor switching of the interactions is necessary. Although straightforward application of quantum error correction fails, we propose a protocol by which the logical Rabi oscillation is protected against all single-qubit errors. The present method thus opens a simple and realistic way of protecting the unitary time evolution against noise.'
author:
- Naoaki Kokubun
- Akira Shimizu
title: Protected Rabi oscillation induced by natural interactions among physical qubits
---
Introduction
============
Decoherence of quantum states has been attracting much attention for long years [@SM02]. Many methods have been proposed for defeating the decoherence. As compared with other methods [@ZR97; @KBLW01; @VKL99; @Facchi05], quantum error correction (QEC) [@Sh95; @St96; @NC00; @Go97; @Pre98] has a great advantage of | ---
abstract: 'For a system composed of nine qubits, we show that natural interactions among the qubits induce the time evolution that can be regarded, at discrete times, as the Rabi oscillation of a logical qubit. Neither fine tuning of the parameters nor switching of the interactions is necessary. Although straightforward application of quantum error correction fails, we propose a protocol by which the logical Rabi oscillation is protected against all single-qubit errors. The present method thus opens a simple and realistic way of protecting the unitary time evolution against noise.'
author:
- Naoaki Kokubun
- Akira Shimizu
title: Protected Rabi oscillation induced by natural interactions among physical qubits
---
Introduction
============
Decoherence of quantum states has been attracting much attention for long years [@SM02]. Many methods have been proposed for defeating the decoherence. As compared with other methods [@ZR97; @KBLW01; @VKL99; @Facchi05], quantum error correction (QEC) [@Sh95; @St96; @NC00; @Go97; @Pre98] has a great advantage of[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- |
[**Haim Judah**]{}\
Bar-Ilan University\
Abraham Fraenkel Center\
for\
Mathematical Logic\
Department of Mathematics and Computer Science\
52-900 Ramat-Gan, Israel\
- |
[**Saharon Shelah**]{}\
Hebrew University\
Institute of Mathematics\
Jerusalem, Israel
title: Baire Property and Axiom of Choice
---
\[section\] \[theorem\][Lemma]{} \[theorem\][Corollary]{} \[theorem\][Proposition]{} \[theorem\][Definition]{}
Introduction
============
In 1979 Shelah proved that in order to obtain a model in which every set of reals has Baire property, a large cardinal assumption is not necessary. The model he constructed satisfied $\omega_{1}^{L} = \omega_{1}$. Therefore Woodin asked if we can get a model for “ZF + DC($\omega_{1}$) + each set of reals has Baire property”.\
Recall here that DC($\omega_{1}$) is the following sentence:
> if ${\cal R}$ is a relation such that $(\forall X)(\exists Y)({\cal R}(X,Y))$ then there | ---
author:
- |
[**Haim Judah**]{}\
Bar-Ilan University\
Abraham Fraenkel Center\
for\
Mathematical Logic\
Department of Mathematics and Computer Science\
52-900 Ramat-Gan, Israel\
- |
[**Saharon Shelah**]{}\
Hebrew University\
Institute of Mathematics\
Jerusalem, Israel
title: Baire Property and Axiom of Choice
---
\[section\] \[theorem\][Lemma]{} \[theorem\][Corollary]{} \[theorem\][Proposition]{} \[theorem\][Definition]{}
Introduction
============
In 1979 Shelah proved that in order to obtain a model in which every set of reals has Baire property, a large cardinal assumption is not necessary. The model he constructed satisfied $\omega_{1}^{L} = \omega_{1}$. Therefore Woodin asked if we can get a model for “ZF + DC($\omega_{1}$) + each set of reals has Baire property”.\
Recall here that DC($\omega_{1}$) is the following sentence:
> if ${\cal R}$ is a relation such that $(\forall X)(\exists Y)({\cal R}(X,Y))$ then there[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The challenge of unsupervised person re-identification (ReID) lies in learning discriminative features without true labels. This paper formulates unsupervised person ReID as a multi-label classification task to progressively seek true labels. Our method starts by assigning each person image with a single-class label, then evolves to multi-label classification by leveraging the updated ReID model for label prediction. The label prediction comprises similarity computation and cycle consistency to ensure the quality of predicted labels. To boost the ReID model training efficiency in multi-label classification, we further propose the memory-based multi-label classification loss (MMCL). MMCL works with memory-based non-parametric classifier and integrates multi-label classification and single-label classification in a unified framework. Our label prediction and MMCL work iteratively and substantially boost the ReID performance. Experiments on several large-scale person ReID datasets demonstrate the superiority of our method in unsupervised person ReID. Our method also allows to use labeled person images in | ---
abstract: 'The challenge of unsupervised person re-identification (ReID) lies in learning discriminative features without true labels. This paper formulates unsupervised person ReID as a multi-label classification task to progressively seek true labels. Our method starts by assigning each person image with a single-class label, then evolves to multi-label classification by leveraging the updated ReID model for label prediction. The label prediction comprises similarity computation and cycle consistency to ensure the quality of predicted labels. To boost the ReID model training efficiency in multi-label classification, we further propose the memory-based multi-label classification loss (MMCL). MMCL works with memory-based non-parametric classifier and integrates multi-label classification and single-label classification in a unified framework. Our label prediction and MMCL work iteratively and substantially boost the ReID performance. Experiments on several large-scale person ReID datasets demonstrate the superiority of our method in unsupervised person ReID. Our method also allows to use labeled person images in[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
In this note, we investigate the behaviour of suprema for band-limited spherical random fields. We prove upper and lower bound for the expected values of these suprema, by means of metric entropy arguments and discrete approximations; we then exploit the Borell-TIS inequality to establish almost sure upper and lower bounds for their fluctuations. Band limited functions can be viewed as restrictions on the sphere of random polynomials with increasing degrees, and our results show that fluctuations scale as the square root of the logarithm of these degrees.
- Keywords and Phrases: Spherical Random Fields, Suprema, Metric Entropy, Almost Sure Convergence
- AMS Classification: 60G60; 62M15, 53C65, 42C15
author:
- |
Domenico Marinucci[^1] and Sreekar Vadlamani\
Department of Mathematics, University of Rome Tor Vergata and\
Tata Institute for Fundamental | ---
abstract: |
In this note, we investigate the behaviour of suprema for band-limited spherical random fields. We prove upper and lower bound for the expected values of these suprema, by means of metric entropy arguments and discrete approximations; we then exploit the Borell-TIS inequality to establish almost sure upper and lower bounds for their fluctuations. Band limited functions can be viewed as restrictions on the sphere of random polynomials with increasing degrees, and our results show that fluctuations scale as the square root of the logarithm of these degrees.
- Keywords and Phrases: Spherical Random Fields, Suprema, Metric Entropy, Almost Sure Convergence
- AMS Classification: 60G60; 62M15, 53C65, 42C15
author:
- |
Domenico Marinucci[^1] and Sreekar Vadlamani\
Department of Mathematics, University of Rome Tor Vergata and\
Tata Institute for Fundamental[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] [**On characterizations of $\mathcal{MT}(\lambda)$-functions**]{}\
\[0.2in\] **Wei-Shih Du**[^1]
[Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan]{}
------------------------------------------------------------------------
**Abstract:** In this paper, we introduce and share the new concept of $\mathcal{MT}(\lambda )$-functions and its some characterizations.
**2010 Mathematics Subject Classification:** 26D07, 54C30.
**Key words and phrases:** $\mathcal{MT}$-function (or $\mathcal{R}$-function), eventually nonincreasing sequence, eventually strictly decreasing sequence, $\mathcal{MT}(\lambda )$-function.\
------------------------------------------------------------------------
[**1. Introduction and preliminaries**]{}
Let $f$ be a real-valued function defined on $\mathbb{R}$. For $c\in \mathbb{R}$, we recall $$\limsup_{x\rightarrow c^{+}}f(x)=\inf_{\varepsilon
>0}\sup_{c<x<c+\varepsilon }f(x)\text{.}$$
**Definition 1.1 (see \[1-6\]).**A function $\varphi :$ $[0,\infty )\rightarrow $ $[0,1)$ is said to be an $\mathcal{MT}$-$function$ (or $\mathcal{R}$-$function$) if $\limsup\limits_{s\rightarrow t^{+}}\varphi
(s)<1$ for all $t\in \lbrack 0,\infty )$.
It is obvious that if $\varphi :$ $[0,\infty )\rightarrow $ $[0,1)$ is a nondecreasing function or a nonincreasing function, then $\varphi $ is an $\mathcal{MT}$-function. So the set of $\mathcal{MT}$-functions is a rich class. However, it is worth to note that there exist functions which are not $\mathcal{MT}$-functions.
**Example 1.2 (see \[2\]).**Let $\varphi :$ | [**On characterizations of $\mathcal{MT}(\lambda)$-functions**]{}\
\[0.2in\] **Wei-Shih Du**[^1]
[Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan]{}
------------------------------------------------------------------------
**Abstract:** In this paper, we introduce and share the new concept of $\mathcal{MT}(\lambda )$-functions and its some characterizations.
**2010 Mathematics Subject Classification:** 26D07, 54C30.
**Key words and phrases:** $\mathcal{MT}$-function (or $\mathcal{R}$-function), eventually nonincreasing sequence, eventually strictly decreasing sequence, $\mathcal{MT}(\lambda )$-function.\
------------------------------------------------------------------------
[**1. Introduction and preliminaries**]{}
Let $f$ be a real-valued function defined on $\mathbb{R}$. For $c\in \mathbb{R}$, we recall $$\limsup_{x\rightarrow c^{+}}f(x)=\inf_{\varepsilon
>0}\sup_{c<x<c+\varepsilon }f(x)\text{.}$$
**Definition 1.1 (see \[1-6\]).**A function $\varphi :$ $[0,\infty )\rightarrow $ $[0,1)$ is said to be an $\mathcal{MT}$-$function$ (or $\mathcal{R}$-$function$) if $\limsup\limits_{s\rightarrow t^{+}}\varphi
(s)<1$ for all $t\in \lbrack 0,\infty )$.
It is obvious that if $\varphi :$ $[0,\infty )\rightarrow $ $[0,1)$ is a nondecreasing function or a nonincreasing function, then $\varphi $ is an $\mathcal{MT}$-function. So the set of $\mathcal{MT}$-functions is a rich class. However, it is worth to note that there exist functions which are not $\mathcal{MT}$-functions.
**Example 1.2 (see \[2\]).**Let $\varphi :$[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- |
Paulo Pires Pacheco\
Department of Physics, Imperial College London\
London, SW7 2AZ, UK
- |
Daniel Waldram\
Department of Physics, Imperial College London\
London, SW7 2AZ, UK\
Institute for Mathematical Sciences, Imperial College London\
London, SW7 2AZ, UK
title: 'M-theory, exceptional generalised geometry and superpotentials'
---
Introduction {#sec:intro}
============
Type II string backgrounds in $d$ dimensions which include non-trivial fluxes have a natural description in terms of Hitchin’s generalised geometry [@GCY; @Gualtieri; @H-GK; @H-brack], where the metric and NS–NS $B$-field are combined into a single geometrical object, transforming under $O(d,d)$. This description has proved very useful in, among other things: characterising supersymmetric backgrounds, finding new examples with non-zero fluxes and writing supersymmetric low-energy effective theories [@GLMW]–[@BFMMPZ]; describing topological string theories and generic $N=(2,2)$ $\sigma$-models [@Kap]–[@LSSW]; as well as motivating the structure of non-geometrical | ---
author:
- |
Paulo Pires Pacheco\
Department of Physics, Imperial College London\
London, SW7 2AZ, UK
- |
Daniel Waldram\
Department of Physics, Imperial College London\
London, SW7 2AZ, UK\
Institute for Mathematical Sciences, Imperial College London\
London, SW7 2AZ, UK
title: 'M-theory, exceptional generalised geometry and superpotentials'
---
Introduction {#sec:intro}
============
Type II string backgrounds in $d$ dimensions which include non-trivial fluxes have a natural description in terms of Hitchin’s generalised geometry [@GCY; @Gualtieri; @H-GK; @H-brack], where the metric and NS–NS $B$-field are combined into a single geometrical object, transforming under $O(d,d)$. This description has proved very useful in, among other things: characterising supersymmetric backgrounds, finding new examples with non-zero fluxes and writing supersymmetric low-energy effective theories [@GLMW]–[@BFMMPZ]; describing topological string theories and generic $N=(2,2)$ $\sigma$-models [@Kap]–[@LSSW]; as well as motivating the structure of non-geometrical[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We investigate the a matrix-type coring associated to a complete covering of an algebra, its Amitsur complex and propose a definition for the related Čech cohomology relative to the covering.'
author:
- |
Andrzej Sitarz [^1] [^2]\
Institute of Physics, Jagiellonian University,\
Reymonta 4, 30-059 Kraków, Poland
title: |
On matrix type corings, algebra coverings\
and Čech cohomology
---
Introduction
============
The definition and examples of algebra coverings, as given by Calow and Matthes [@CaMa] provided a nice set of examples of canonical corings [@BrWr]. In this note, we elaborate further on the construction and define a version of Čech cohomology respective to the covering using the cochain complexes based on Amitsur complex.
Preliminaries
-------------
We recall here the notation and definition. Let $A$ be a unital algebra and $I_i \subset A$, $i =1,2,\ldots N$, be two-sided ideals in $A$. We call $A_j = | ---
abstract: 'We investigate the a matrix-type coring associated to a complete covering of an algebra, its Amitsur complex and propose a definition for the related Čech cohomology relative to the covering.'
author:
- |
Andrzej Sitarz [^1] [^2]\
Institute of Physics, Jagiellonian University,\
Reymonta 4, 30-059 Kraków, Poland
title: |
On matrix type corings, algebra coverings\
and Čech cohomology
---
Introduction
============
The definition and examples of algebra coverings, as given by Calow and Matthes [@CaMa] provided a nice set of examples of canonical corings [@BrWr]. In this note, we elaborate further on the construction and define a version of Čech cohomology respective to the covering using the cochain complexes based on Amitsur complex.
Preliminaries
-------------
We recall here the notation and definition. Let $A$ be a unital algebra and $I_i \subset A$, $i =1,2,\ldots N$, be two-sided ideals in $A$. We call $A_j =[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We present a new derivation of the equations governing the oscillations of slowly rotating relativistic stars. Previous investigations have been mostly carried out in the Regge–Wheeler gauge. However, in this gauge the process of linearizing the Einstein field equations leads to perturbation equations which as such cannot be used to perform numerical time evolutions. It is only through the tedious process of combining and rearranging the perturbation variables in a clever way that the system can be cast into a set of hyperbolic first order equations, which is then well suited for the numerical integration. The equations remain quite lengthy, and we therefore rederive the perturbation equations in a different gauge, which has been first proposed by Battiston et al. (1970). Using the ADM formalism, one is immediately lead to a first order hyperbolic evolution system, which is remarkably simple and can be numerically integrated without many further manipulations. Moreover, | ---
abstract: 'We present a new derivation of the equations governing the oscillations of slowly rotating relativistic stars. Previous investigations have been mostly carried out in the Regge–Wheeler gauge. However, in this gauge the process of linearizing the Einstein field equations leads to perturbation equations which as such cannot be used to perform numerical time evolutions. It is only through the tedious process of combining and rearranging the perturbation variables in a clever way that the system can be cast into a set of hyperbolic first order equations, which is then well suited for the numerical integration. The equations remain quite lengthy, and we therefore rederive the perturbation equations in a different gauge, which has been first proposed by Battiston et al. (1970). Using the ADM formalism, one is immediately lead to a first order hyperbolic evolution system, which is remarkably simple and can be numerically integrated without many further manipulations. Moreover,[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We consider discrete-time Markov bridges, chains whose initial and final states coincide. We derive exact finite-time formulae for the joint probability distributions of additive functionals of trajectories. We apply our theory to time-integrated currents and frenesy of enzymatic reactions, which may include absolutely irreversible transitions. We discuss the information that frenesy carries about the currents and show that bridges may violate known uncertainty relations in certain cases. Numerical simulations are in perfect agreement with our theory.'
author:
- Édgar Roldán$^1$ and Pierpaolo Vivo$^2$
title: Exact Distributions of Currents and Frenesy for Markov Bridges
---
introduction
============
Cutting-edge advances in physics and nanotechnology have paved the way in recent years to the quantitative analysis of fluctuation phenomena at mesoscopic scales. Important examples are the direct observation of molecular motors’ stepping [@svoboda1993direct], quantized charge transport in single-electron devices [@pekola2013single], rotation of synthetic mesoscopic machines [@kay2007synthetic], etc. Most non-equilibrium phenomena at small scales can be faithfully represented by Markov processes [@van1992stochastic]. In these | ---
abstract: 'We consider discrete-time Markov bridges, chains whose initial and final states coincide. We derive exact finite-time formulae for the joint probability distributions of additive functionals of trajectories. We apply our theory to time-integrated currents and frenesy of enzymatic reactions, which may include absolutely irreversible transitions. We discuss the information that frenesy carries about the currents and show that bridges may violate known uncertainty relations in certain cases. Numerical simulations are in perfect agreement with our theory.'
author:
- Édgar Roldán$^1$ and Pierpaolo Vivo$^2$
title: Exact Distributions of Currents and Frenesy for Markov Bridges
---
introduction
============
Cutting-edge advances in physics and nanotechnology have paved the way in recent years to the quantitative analysis of fluctuation phenomena at mesoscopic scales. Important examples are the direct observation of molecular motors’ stepping [@svoboda1993direct], quantized charge transport in single-electron devices [@pekola2013single], rotation of synthetic mesoscopic machines [@kay2007synthetic], etc. Most non-equilibrium phenomena at small scales can be faithfully represented by Markov processes [@van1992stochastic]. In these[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] **The birth of strange stars:**
**kinetics, hydrodynamics and phenomenology**
**of supernovae and GRBs**
J. E. Horvath
*Instituto de Astronomia, Geofísica e Ciências Atmosféricas*
*Rua do Matão 1226, 05508-900 São Paulo SP, Brazil*
foton@astro.iag.usp.br
Abstract
We present a short review of strange quark matter in supernovae and related explosions, with particular attention to the issue of the propagation of the combustion in the dense stellar environment. We discuss the instabilities affecting the flame and present some new results of application to the turbulent regime. The transition to the distributed regime and further deflagration-to-detonation mechanism are addressed. Finally we show that magnetic fields may be important for this problem, because they modify the flame through the dispersion relations which characterize the instabilities. A tentative classification of explosive phenomena according to the value of the average local magnetic field affecting the burning and the type of stellar system in which this conversion is taking place is presented. As a general result, | **The birth of strange stars:**
**kinetics, hydrodynamics and phenomenology**
**of supernovae and GRBs**
J. E. Horvath
*Instituto de Astronomia, Geofísica e Ciências Atmosféricas*
*Rua do Matão 1226, 05508-900 São Paulo SP, Brazil*
foton@astro.iag.usp.br
Abstract
We present a short review of strange quark matter in supernovae and related explosions, with particular attention to the issue of the propagation of the combustion in the dense stellar environment. We discuss the instabilities affecting the flame and present some new results of application to the turbulent regime. The transition to the distributed regime and further deflagration-to-detonation mechanism are addressed. Finally we show that magnetic fields may be important for this problem, because they modify the flame through the dispersion relations which characterize the instabilities. A tentative classification of explosive phenomena according to the value of the average local magnetic field affecting the burning and the type of stellar system in which this conversion is taking place is presented. As a general result,[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We consider one possible implementation of Hadamard gate for optical and ion trap holonomic quantum computers. The expression for its fidelity determining the gate stability with respect to the errors in the single-mode squeezing parameter control is analytically derived. We demonstrate by means of this expression the cancellation of the squeezing control errors up to the fourth order on their magnitude.'
author:
- |
V.I. Kuvshinov$^1$, A.V. Kuzmin$^2$\
Joint Institute for Power and Nuclear Research “Sosny”\
220109 Krasina str., 99, Minsk, Belarus\
$1$ - e-mail: v.kuvshinov@sosny.bas-net.by\
$2$ - e-mails: avkuzmin@sosny.bas-net.by; avkuzmin@dragon.bas-net.by.
title: Robust Hadamard gate for optical and ion trap holonomic quantum computers
---
Holonomic quantum computation exploiting non-abelian geometrical phases (holonomies) was primarily proposed in Ref. [@Zanardi1999] and was further worked out in Ref. [@Pachos2000]. Various implementations of holonomic quantum computer (HQC) have been proposed recently. Namely, it was suggested | ---
abstract: 'We consider one possible implementation of Hadamard gate for optical and ion trap holonomic quantum computers. The expression for its fidelity determining the gate stability with respect to the errors in the single-mode squeezing parameter control is analytically derived. We demonstrate by means of this expression the cancellation of the squeezing control errors up to the fourth order on their magnitude.'
author:
- |
V.I. Kuvshinov$^1$, A.V. Kuzmin$^2$\
Joint Institute for Power and Nuclear Research “Sosny”\
220109 Krasina str., 99, Minsk, Belarus\
$1$ - e-mail: v.kuvshinov@sosny.bas-net.by\
$2$ - e-mails: avkuzmin@sosny.bas-net.by; avkuzmin@dragon.bas-net.by.
title: Robust Hadamard gate for optical and ion trap holonomic quantum computers
---
Holonomic quantum computation exploiting non-abelian geometrical phases (holonomies) was primarily proposed in Ref. [@Zanardi1999] and was further worked out in Ref. [@Pachos2000]. Various implementations of holonomic quantum computer (HQC) have been proposed recently. Namely, it was suggested[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We provide an analytical investigation of the entanglement dynamics for a system composed of an arbitrary number of qubits dissipating into a common environment. Specifically we consider initial states whose evolution remains confined on low dimensional subspaces of the operators space. We then find for which pairs of qubits entanglement can be generated and can persist at steady state. Finally, we determine the stationary distribution of entanglement as well as its scaling versus the total number of qubits in the system.'
author:
- 'Laleh Memarzadeh[^1]'
- 'Stefano Mancini[^2]'
title: Entanglement dynamics for qubits dissipating into a common environment
---
Introduction
============
Entanglement is synonymous of quantum correlations that cannot be explained by any local classical theory. Initially this notion was relegated to foundational issues, but in the last decades it has pervaded quantum information and other areas of physics [@entrev]. Being a purely quantum phenomenon it was considered fragile under contamination of environment noise in open quantum | ---
abstract: 'We provide an analytical investigation of the entanglement dynamics for a system composed of an arbitrary number of qubits dissipating into a common environment. Specifically we consider initial states whose evolution remains confined on low dimensional subspaces of the operators space. We then find for which pairs of qubits entanglement can be generated and can persist at steady state. Finally, we determine the stationary distribution of entanglement as well as its scaling versus the total number of qubits in the system.'
author:
- 'Laleh Memarzadeh[^1]'
- 'Stefano Mancini[^2]'
title: Entanglement dynamics for qubits dissipating into a common environment
---
Introduction
============
Entanglement is synonymous of quantum correlations that cannot be explained by any local classical theory. Initially this notion was relegated to foundational issues, but in the last decades it has pervaded quantum information and other areas of physics [@entrev]. Being a purely quantum phenomenon it was considered fragile under contamination of environment noise in open quantum[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
In numerous diluted magnetic semiconductor (DMS) systems, the competition takes place between the short-range antiferromagnetic (AF) superexchange interactions and the long-range Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling mediated by the charge carriers. Such a situation strongly influences the critical temperature, the maximization of which constitutes a challenging task in DMS physics and technology. The aim of the paper is to discuss theoretically the limiting effect of AF interactions between nearest-neighbour magnetic ions on the stability of inhomogeneous ferromagnetic state in a model diluted magnetic system reflecting some crucial features of DMS.
The modified molecular field-based model is constructed to account for the magnetic inhomogeneity. The behavior of the system is studied as a function of the ratio of superexchange integral to effective ferromagnetic coupling integral, including the possibility of clustering/anticlustering tendency for the magnetic ions. The ground state of the system is analysed. The critical | ---
abstract: |
In numerous diluted magnetic semiconductor (DMS) systems, the competition takes place between the short-range antiferromagnetic (AF) superexchange interactions and the long-range Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling mediated by the charge carriers. Such a situation strongly influences the critical temperature, the maximization of which constitutes a challenging task in DMS physics and technology. The aim of the paper is to discuss theoretically the limiting effect of AF interactions between nearest-neighbour magnetic ions on the stability of inhomogeneous ferromagnetic state in a model diluted magnetic system reflecting some crucial features of DMS.
The modified molecular field-based model is constructed to account for the magnetic inhomogeneity. The behavior of the system is studied as a function of the ratio of superexchange integral to effective ferromagnetic coupling integral, including the possibility of clustering/anticlustering tendency for the magnetic ions. The ground state of the system is analysed. The critical[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'A limiting factor in the ability to interpret isotope effect measurements in cuprates is the absence of sufficiently accurate data for the whole phase diagram; there is precise data for $T_{c}$, but not for the antiferromagnetic transition temperature $T_{N}$. Extreme sensitivity of $T_{N}$ to small changes in the amount of oxygen in the sample is the major problem. This problem is solved here by using the novel compound (Ca$_{0.1}$La$_{0.9}$)(Ba$_{1.65}$La$_{0.35}$)Cu$_{3}$O$_{y}$ for which there is a region where $T_{N}$ is independent of oxygen doping. Meticulous measurements of $T_{N}$ for samples with $^{16}$O and $^{18}$O find the absence of an oxygen isotope effect on $T_{N}$ with unprecedented accuracy. A possible interpretation of our finding and existing data is that isotope substitution affects the normal state charge carrier density.'
author:
- 'E. Amit'
- 'A. Keren'
- 'J. S. Lord'
- 'P. King'
title: A Precise Measurement of the Oxygen Isotope Effect on the Néel temperature in Cuprates
---
Isotope substitution is a powerful experimental tool | ---
abstract: 'A limiting factor in the ability to interpret isotope effect measurements in cuprates is the absence of sufficiently accurate data for the whole phase diagram; there is precise data for $T_{c}$, but not for the antiferromagnetic transition temperature $T_{N}$. Extreme sensitivity of $T_{N}$ to small changes in the amount of oxygen in the sample is the major problem. This problem is solved here by using the novel compound (Ca$_{0.1}$La$_{0.9}$)(Ba$_{1.65}$La$_{0.35}$)Cu$_{3}$O$_{y}$ for which there is a region where $T_{N}$ is independent of oxygen doping. Meticulous measurements of $T_{N}$ for samples with $^{16}$O and $^{18}$O find the absence of an oxygen isotope effect on $T_{N}$ with unprecedented accuracy. A possible interpretation of our finding and existing data is that isotope substitution affects the normal state charge carrier density.'
author:
- 'E. Amit'
- 'A. Keren'
- 'J. S. Lord'
- 'P. King'
title: A Precise Measurement of the Oxygen Isotope Effect on the Néel temperature in Cuprates
---
Isotope substitution is a powerful experimental tool[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] \[section\] \[proposition\][Theorem]{} \[proposition\][Corollary]{} \[proposition\][Lemma]{} \[proposition\][Definition]{} \[proposition\][Remark]{}
[**Core models in the presence of Woodin cardinals**]{}
[ by Ralf Schindler]{}
[ www.logic.univie.ac.at/${}^\sim$rds]{}
Introduction.
=============
In this paper we show that the core model might exist even if there are Woodin cardinals in $V$. This observation is not new. Woodin [@hugh], in his proof that ${\sf AD}_{\mathbb R}$ implies the ${\sf AD}_{\mathbb R}$ hypothesis, constructed models of ${\sf ZFC}$ in which there are fully iterable extender models with Woodin cardinals which satisfy (among other things) a weak covering property. Steel [@john], in his proof that $M_n$ satisfies $V = HOD$, gave an argument which appears to be a special case of what we shall do in this paper. However, the general method for constructing the core model in the theory ${\sf ZFC}$ + “there is a measurable cardinal above $n$ Woodin cardinals” + “$M_{n+1}^\#$ does not exist” which we shall present here does seem to be new.
This method might | \[section\] \[proposition\][Theorem]{} \[proposition\][Corollary]{} \[proposition\][Lemma]{} \[proposition\][Definition]{} \[proposition\][Remark]{}
[**Core models in the presence of Woodin cardinals**]{}
[ by Ralf Schindler]{}
[ www.logic.univie.ac.at/${}^\sim$rds]{}
Introduction.
=============
In this paper we show that the core model might exist even if there are Woodin cardinals in $V$. This observation is not new. Woodin [@hugh], in his proof that ${\sf AD}_{\mathbb R}$ implies the ${\sf AD}_{\mathbb R}$ hypothesis, constructed models of ${\sf ZFC}$ in which there are fully iterable extender models with Woodin cardinals which satisfy (among other things) a weak covering property. Steel [@john], in his proof that $M_n$ satisfies $V = HOD$, gave an argument which appears to be a special case of what we shall do in this paper. However, the general method for constructing the core model in the theory ${\sf ZFC}$ + “there is a measurable cardinal above $n$ Woodin cardinals” + “$M_{n+1}^\#$ does not exist” which we shall present here does seem to be new.
This method might[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The concept of qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state (Phys. Rev. Lett. **86**, 910 (2001)) according to the finite dimensional representations of quantum plane algebra. We demonstrate their quantum correlations and prove a theorem which guarantees the availability of the qudit cluster states in quantum computation. We explicitly construct the network to show the universality of the one-way computer based on the defined qudit cluster states and single-qudit measurement. And the corresponding protocol of implementing one-way quantum computer can be suggested with the high dimensional “Ising" model which can be found in many magnetic systems.'
author:
- 'D.L. Zhou'
- 'B. Zeng'
- 'Z. Xu'
- 'C.P. Sun'
title: 'Quantum computation based on d-level cluster state '
---
Introduction
============
Quantum computers can process computational tasks that are intractable with classical computers. The reason lies in the fact that quantum computing systems composed by qubits (two-level quantum systems) possess mysterious quantum | ---
abstract: 'The concept of qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state (Phys. Rev. Lett. **86**, 910 (2001)) according to the finite dimensional representations of quantum plane algebra. We demonstrate their quantum correlations and prove a theorem which guarantees the availability of the qudit cluster states in quantum computation. We explicitly construct the network to show the universality of the one-way computer based on the defined qudit cluster states and single-qudit measurement. And the corresponding protocol of implementing one-way quantum computer can be suggested with the high dimensional “Ising" model which can be found in many magnetic systems.'
author:
- 'D.L. Zhou'
- 'B. Zeng'
- 'Z. Xu'
- 'C.P. Sun'
title: 'Quantum computation based on d-level cluster state '
---
Introduction
============
Quantum computers can process computational tasks that are intractable with classical computers. The reason lies in the fact that quantum computing systems composed by qubits (two-level quantum systems) possess mysterious quantum[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We propose a space-frequency (SF) block coding scheme for a multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) system using antennas with reconfigurable radiation patterns. In this system, each element of the antenna array at the transmitter side is assumed to be reconfigurable so that it can independently change the physical characteristics of its radiation pattern. The proposed block code is full rate and benefits from spatial, frequency, and reconfigurable radiation pattern state diversity over frequency-selective fading channels. We provide simulation results to demonstrate the performance of the proposed block coding technique and make comparisons with that of the previous SF coding schemes in MIMO-OFDM systems. The results indicate that the proposed code achieves higher diversity and coding gain compared to other available SF codes.'
author:
-
bibliography:
- 'IEEEabrv.bib'
- 'Reference.bib'
title: 'Space-Frequency Block Code for MIMO-OFDM Communication Systems with Reconfigurable Antennas'
---
Frequency-selective fading channels, multiple-input multiple-output-orthogonal frequency-division multiplexing (MIMO-OFDM) systems, space-frequency (SF) coding, reconfigurable | ---
abstract: 'We propose a space-frequency (SF) block coding scheme for a multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) system using antennas with reconfigurable radiation patterns. In this system, each element of the antenna array at the transmitter side is assumed to be reconfigurable so that it can independently change the physical characteristics of its radiation pattern. The proposed block code is full rate and benefits from spatial, frequency, and reconfigurable radiation pattern state diversity over frequency-selective fading channels. We provide simulation results to demonstrate the performance of the proposed block coding technique and make comparisons with that of the previous SF coding schemes in MIMO-OFDM systems. The results indicate that the proposed code achieves higher diversity and coding gain compared to other available SF codes.'
author:
-
bibliography:
- 'IEEEabrv.bib'
- 'Reference.bib'
title: 'Space-Frequency Block Code for MIMO-OFDM Communication Systems with Reconfigurable Antennas'
---
Frequency-selective fading channels, multiple-input multiple-output-orthogonal frequency-division multiplexing (MIMO-OFDM) systems, space-frequency (SF) coding, reconfigurable[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
Detectability of isolated black holes (IBHs) without a companion star but emitting X-rays by accretion from dense interstellar medium (ISM) or molecular cloud gas is investigated. We calculate orbits of IBHs in the Galaxy to derive a realistic spatial distribution of IBHs, for various mean values of kick velocity at their birth $\upsilon_{\rm
avg}$. X-ray luminosities of these IBHs are then calculated considering various phases of ISM and molecular clouds, for a wide range of the accretion efficiency $\lambda$ (a ratio of the actual accretion rate to the Bondi rate) that is rather uncertain. It is found that detectable IBHs mostly reside near the Galactic Centre (GC), and hence taking the Galactic structure into account is essential. In the hard X-ray band, where identification of IBHs from other contaminating X-ray sources may be easier, the expected number of IBHs detectable | ---
abstract: |
Detectability of isolated black holes (IBHs) without a companion star but emitting X-rays by accretion from dense interstellar medium (ISM) or molecular cloud gas is investigated. We calculate orbits of IBHs in the Galaxy to derive a realistic spatial distribution of IBHs, for various mean values of kick velocity at their birth $\upsilon_{\rm
avg}$. X-ray luminosities of these IBHs are then calculated considering various phases of ISM and molecular clouds, for a wide range of the accretion efficiency $\lambda$ (a ratio of the actual accretion rate to the Bondi rate) that is rather uncertain. It is found that detectable IBHs mostly reside near the Galactic Centre (GC), and hence taking the Galactic structure into account is essential. In the hard X-ray band, where identification of IBHs from other contaminating X-ray sources may be easier, the expected number of IBHs detectable[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- |
A.J.E.M. Janssen\
Eindhoven University of Technology,\
Department of Mathematics and Computer Science,\
P.O. Box 513, 5600 MB Eindhoven, The Netherlands.\
E-mail address: {a.j.e.m.janssen@tue.nl}\
Tel.: +31-402474541
title: 'Sharp bound on the radial derivatives of the Zernike circle polynomials (disk polynomials)'
---
\
\
\
\
\
[**Abstract.**]{}\
We sharpen the bound $n^{2k}$ on the maximum modulus of the $k^{{\rm th}}$ radial derivative of the Zernike circle polynomials (disk polynomials) of degree $n$ to $n^2(n^2-1^2)\cdot ... \cdot(n^2-(k-1)^2)/2^k(1/2)_k$. This bound is obtained from a result of Koornwinder on the non-negativity of connection coefficients of the radial parts of the circle polynomials when expanded into a series of Chebyshev polynomials of the first kind. The new bound is shown to be sharp for, for instance, Zernike circle polynomials of degree $n$ and azimuthal order $m$ when $m=O(\sqrt{n})$ by using an explicit expression for the connection | ---
author:
- |
A.J.E.M. Janssen\
Eindhoven University of Technology,\
Department of Mathematics and Computer Science,\
P.O. Box 513, 5600 MB Eindhoven, The Netherlands.\
E-mail address: {a.j.e.m.janssen@tue.nl}\
Tel.: +31-402474541
title: 'Sharp bound on the radial derivatives of the Zernike circle polynomials (disk polynomials)'
---
\
\
\
\
\
[**Abstract.**]{}\
We sharpen the bound $n^{2k}$ on the maximum modulus of the $k^{{\rm th}}$ radial derivative of the Zernike circle polynomials (disk polynomials) of degree $n$ to $n^2(n^2-1^2)\cdot ... \cdot(n^2-(k-1)^2)/2^k(1/2)_k$. This bound is obtained from a result of Koornwinder on the non-negativity of connection coefficients of the radial parts of the circle polynomials when expanded into a series of Chebyshev polynomials of the first kind. The new bound is shown to be sharp for, for instance, Zernike circle polynomials of degree $n$ and azimuthal order $m$ when $m=O(\sqrt{n})$ by using an explicit expression for the connection[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The concept of Universal Shower Profile is used to characterize the average behavior of high energy cosmic rays. The shape variables contain important information about composition. They are independent of the primary cross-section by construction, but affected by other hadronic parameters, like multiplicity. The two variables give access to the average nuclear mass of the sample and their compatibility serves as a test of hadronic models.'
address:
- 'LIP, Av. Elias Garcia, 14-1, 1000-149 Lisboa, Portugal'
- 'Departamento de Física, IST, Av. Rovisco Pais, 1049-001 Lisboa, Portugal'
author:
- 'S. Andringa'
- 'R. Conceição'
- 'F. Diogo'
- 'M. Pimenta'
bibliography:
- 'Bib-hX.bib'
title: Sensitivity to primary composition and hadronic models from average shape of high energy cosmic ray shower profiles
---
Extensive Air Shower ,Longitudinal Profile ,Electromagnetic Component ,Shape Variables ,Mass Composition ,Hadronic Interaction Models
Introduction {#sec:Intro}
============
The development of high energy cosmic ray showers in the atmosphere gives indirect information on the primary particle. It is, however, governed by very high energy | ---
abstract: 'The concept of Universal Shower Profile is used to characterize the average behavior of high energy cosmic rays. The shape variables contain important information about composition. They are independent of the primary cross-section by construction, but affected by other hadronic parameters, like multiplicity. The two variables give access to the average nuclear mass of the sample and their compatibility serves as a test of hadronic models.'
address:
- 'LIP, Av. Elias Garcia, 14-1, 1000-149 Lisboa, Portugal'
- 'Departamento de Física, IST, Av. Rovisco Pais, 1049-001 Lisboa, Portugal'
author:
- 'S. Andringa'
- 'R. Conceição'
- 'F. Diogo'
- 'M. Pimenta'
bibliography:
- 'Bib-hX.bib'
title: Sensitivity to primary composition and hadronic models from average shape of high energy cosmic ray shower profiles
---
Extensive Air Shower ,Longitudinal Profile ,Electromagnetic Component ,Shape Variables ,Mass Composition ,Hadronic Interaction Models
Introduction {#sec:Intro}
============
The development of high energy cosmic ray showers in the atmosphere gives indirect information on the primary particle. It is, however, governed by very high energy[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The discovery of a gravitational lens candidate is reported. The quasars SDSS J111611.73+411821.5 and SDSS J111610.68+411814.4 are recognized as two images of the same object, being strongly lensed by the closer galaxy SDSS J111611.03+411820.9. The source is located at a redshift of $z \sim 3$, while the redshift of the lens galaxy is $z \sim 0.25$. The separation of the images is large, $\sim 13$ arcsec. Commonly used models of the mass distribution for the lens galaxy with values of the parameters in the expected range describe the positions and fluxes of the images.'
author:
- |
[*Eusebio Sánchez Álvaro,*]{}\
[*Francisco Javier Rodríguez Calonge*]{}\
\
[*CIEMAT*]{}\
[*Avda. Complutense 22*]{}\
[*E-28040 Madrid (Spain)*]{}\
date:
title: A New Gravitational Lens Candidate with Large Image Separation in the SDSS DR5 Data
---
Introduction {#introduction .unnumbered}
============
Gravitational lenses are widely used | ---
abstract: 'The discovery of a gravitational lens candidate is reported. The quasars SDSS J111611.73+411821.5 and SDSS J111610.68+411814.4 are recognized as two images of the same object, being strongly lensed by the closer galaxy SDSS J111611.03+411820.9. The source is located at a redshift of $z \sim 3$, while the redshift of the lens galaxy is $z \sim 0.25$. The separation of the images is large, $\sim 13$ arcsec. Commonly used models of the mass distribution for the lens galaxy with values of the parameters in the expected range describe the positions and fluxes of the images.'
author:
- |
[*Eusebio Sánchez Álvaro,*]{}\
[*Francisco Javier Rodríguez Calonge*]{}\
\
[*CIEMAT*]{}\
[*Avda. Complutense 22*]{}\
[*E-28040 Madrid (Spain)*]{}\
date:
title: A New Gravitational Lens Candidate with Large Image Separation in the SDSS DR5 Data
---
Introduction {#introduction .unnumbered}
============
Gravitational lenses are widely used[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Galaxy mergers are expected to have a significant role in the mass assembly of galaxies in the early Universe, but there are very few observational constraints on the merger history of galaxies at $z > 2$. We present the first study of galaxy major mergers (mass ratios $>$ 1:4) in mass-selected samples out to $z \approx 6$. Using all five fields of the HST/CANDELS survey and a probabilistic pair count methodology that incorporates the full photometric redshift posteriors and corrections for stellar mass completeness, we measure galaxy pair-counts for projected separations between 5 and 30 kpc in stellar mass selected samples at $9.7 < \log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) < 10.3$ and $\log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) > 10.3$. We find that the major merger pair fraction rises with redshift to $z\approx6$ proportional to $(1+z)^{m}$, with $m = 0.8\pm0.2$ ($m = 1.8\pm0.2$) for $\log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) > 10.3$ ($9.7 < \log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) < 10.3$). Investigating the | ---
abstract: 'Galaxy mergers are expected to have a significant role in the mass assembly of galaxies in the early Universe, but there are very few observational constraints on the merger history of galaxies at $z > 2$. We present the first study of galaxy major mergers (mass ratios $>$ 1:4) in mass-selected samples out to $z \approx 6$. Using all five fields of the HST/CANDELS survey and a probabilistic pair count methodology that incorporates the full photometric redshift posteriors and corrections for stellar mass completeness, we measure galaxy pair-counts for projected separations between 5 and 30 kpc in stellar mass selected samples at $9.7 < \log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) < 10.3$ and $\log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) > 10.3$. We find that the major merger pair fraction rises with redshift to $z\approx6$ proportional to $(1+z)^{m}$, with $m = 0.8\pm0.2$ ($m = 1.8\pm0.2$) for $\log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) > 10.3$ ($9.7 < \log_{10}({\text{M}_{\star}}/ \text{M}_{\odot}) < 10.3$). Investigating the[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] Supplementary Figures {#supplementary-figures .unnumbered}
=====================
![The self-energy $\Sigma(\omega)$ computed for the 3D TI slab as discussed in the Methods section of the main text. [**a,**]{} The real part and [**b,**]{} The imaginary part.](figs1.pdf){width="\textwidth"}
Supplementary Note 1: Spin non-conservation and the role of spin relaxation in the spin Hall effect {#supplementary-note-1-spin-non-conservation-and-the-role-of-spin-relaxation-in-the-spin-hall-effect .unnumbered}
===================================================================================================
As pointed out in the main text, spin is not a conserved quantity in this system. However, the non-conservation of spin does not completely break off the connection between spin density and spin current density. It only requires that a spin relaxation term be added to the continuity equation and taken with care. The bulk of our system is disorder-free where time reversal symmetry prohibits any spin accumulation at a steady state, thus spin accumulation and relaxation can only happen on the surface. An empirical equation for surface spin density $s$ and bulk spin current $j^s$ can be written down as $$\frac{{\mathrm{d}}s}{{\mathrm{d}}t}=j^s-R(s)$$ where | Supplementary Figures {#supplementary-figures .unnumbered}
=====================
![The self-energy $\Sigma(\omega)$ computed for the 3D TI slab as discussed in the Methods section of the main text. [**a,**]{} The real part and [**b,**]{} The imaginary part.](figs1.pdf){width="\textwidth"}
Supplementary Note 1: Spin non-conservation and the role of spin relaxation in the spin Hall effect {#supplementary-note-1-spin-non-conservation-and-the-role-of-spin-relaxation-in-the-spin-hall-effect .unnumbered}
===================================================================================================
As pointed out in the main text, spin is not a conserved quantity in this system. However, the non-conservation of spin does not completely break off the connection between spin density and spin current density. It only requires that a spin relaxation term be added to the continuity equation and taken with care. The bulk of our system is disorder-free where time reversal symmetry prohibits any spin accumulation at a steady state, thus spin accumulation and relaxation can only happen on the surface. An empirical equation for surface spin density $s$ and bulk spin current $j^s$ can be written down as $$\frac{{\mathrm{d}}s}{{\mathrm{d}}t}=j^s-R(s)$$ where[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We present the analysis of the radial distributions and kinematic properties of the multiple stellar populations (mPOPs) hosted in the globular cluster (GC) NGC 6352 as part of the *Hubble Space Telescope* ([*HST*]{}) “UV Legacy Survey of Galactic Globular Clusters” program. NGC 6352 is one of the few GCs for which the mPOP tagging in appropriate color-magnitude diagrams is clear in all evolutionary sequences. We computed high-precision stellar proper motions for the stars from the cluster’s core out to 75 arcsec ($\sim$1.5 core radii, or $\sim$0.6 half-light radii). We find that, in the region explored, first- and second-generation stars share the same radial distribution and kinematic properties. Velocity dispersions, anisotropy radial profiles, differential rotation, and level of energy equipartition, all suggest that NGC 6352 is probably in an advanced evolutionary stage, and any possible difference in the structural and kinematic properties of its mPOPs have been erased by dynamical processes in the | ---
abstract: 'We present the analysis of the radial distributions and kinematic properties of the multiple stellar populations (mPOPs) hosted in the globular cluster (GC) NGC 6352 as part of the *Hubble Space Telescope* ([*HST*]{}) “UV Legacy Survey of Galactic Globular Clusters” program. NGC 6352 is one of the few GCs for which the mPOP tagging in appropriate color-magnitude diagrams is clear in all evolutionary sequences. We computed high-precision stellar proper motions for the stars from the cluster’s core out to 75 arcsec ($\sim$1.5 core radii, or $\sim$0.6 half-light radii). We find that, in the region explored, first- and second-generation stars share the same radial distribution and kinematic properties. Velocity dispersions, anisotropy radial profiles, differential rotation, and level of energy equipartition, all suggest that NGC 6352 is probably in an advanced evolutionary stage, and any possible difference in the structural and kinematic properties of its mPOPs have been erased by dynamical processes in the[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- |
Elizabeth M. Sweeney^1,2^, Russell T. Shinohara^3^, Blake E. Dewey^2^, Matthew K. Schindler^2^,\
John Muschelli^1^, Daniel S. Reich^1,2,4,5^, Ciprian M. Crainiceanu^1^, Ani Eloyan^1^\
bibliography:
- 'mybib.bib'
title: 'Relating multi-sequence longitudinal intensity profiles and clinical covariates in new multiple sclerosis lesions'
---
^1^Department of Biostatistics, The Johns Hopkins University, Baltimore, MD 21205
^2^Translational Neuroradiology Unit, Division of Neuroimmunology and Neurovirology, National Institute of Neurological Disease and Stroke, National Institute of Health, Bethesda, MD 20892
^3^Department of Biostatistics and Epidemiology, Center for Clinical Epidemiology and Biostatistics, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA 19104
^4^Department of Radiology, The Johns Hopkins University School of Medicine, Baltimore, MD 21287
^5^Department of Neurology, The Johns Hopkins University School of Medicine, Baltimore, MD 21287
Corresponding Author:
Elizabeth Sweeney
(317)698-5700
emsweene@jhsph.edu
Abstract {#abstract .unnumbered}
========
Structural magnetic resonance imaging (MRI) can be used to detect lesions in the brains of multiple sclerosis (MS) patients. The formation of these lesions is a complex process involving | ---
author:
- |
Elizabeth M. Sweeney^1,2^, Russell T. Shinohara^3^, Blake E. Dewey^2^, Matthew K. Schindler^2^,\
John Muschelli^1^, Daniel S. Reich^1,2,4,5^, Ciprian M. Crainiceanu^1^, Ani Eloyan^1^\
bibliography:
- 'mybib.bib'
title: 'Relating multi-sequence longitudinal intensity profiles and clinical covariates in new multiple sclerosis lesions'
---
^1^Department of Biostatistics, The Johns Hopkins University, Baltimore, MD 21205
^2^Translational Neuroradiology Unit, Division of Neuroimmunology and Neurovirology, National Institute of Neurological Disease and Stroke, National Institute of Health, Bethesda, MD 20892
^3^Department of Biostatistics and Epidemiology, Center for Clinical Epidemiology and Biostatistics, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA 19104
^4^Department of Radiology, The Johns Hopkins University School of Medicine, Baltimore, MD 21287
^5^Department of Neurology, The Johns Hopkins University School of Medicine, Baltimore, MD 21287
Corresponding Author:
Elizabeth Sweeney
(317)698-5700
emsweene@jhsph.edu
Abstract {#abstract .unnumbered}
========
Structural magnetic resonance imaging (MRI) can be used to detect lesions in the brains of multiple sclerosis (MS) patients. The formation of these lesions is a complex process involving[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Human activity recognition has drawn considerable attention recently in the field of computer vision due to the development of commodity depth cameras, by which the human activity is represented as a sequence of 3D skeleton postures. Assuming human body 3D joint locations of an activity lie on a manifold, the problem of recognizing human activity is formulated as the computation of activity manifold-manifold distance (AMMD). In this paper, we first design an efficient division method to decompose a manifold into ordered continuous maximal linear patches (CMLPs) that denote meaningful action snippets of the action sequence. Then the CMLP is represented by its position (average value of points) and the first principal component, which specify the major posture and main evolving direction of an action snippet, respectively. Finally, we compute the distance between CMLPs by taking both the posture and direction into consideration. Based on these preparations, an intuitive distance | ---
abstract: 'Human activity recognition has drawn considerable attention recently in the field of computer vision due to the development of commodity depth cameras, by which the human activity is represented as a sequence of 3D skeleton postures. Assuming human body 3D joint locations of an activity lie on a manifold, the problem of recognizing human activity is formulated as the computation of activity manifold-manifold distance (AMMD). In this paper, we first design an efficient division method to decompose a manifold into ordered continuous maximal linear patches (CMLPs) that denote meaningful action snippets of the action sequence. Then the CMLP is represented by its position (average value of points) and the first principal component, which specify the major posture and main evolving direction of an action snippet, respectively. Finally, we compute the distance between CMLPs by taking both the posture and direction into consideration. Based on these preparations, an intuitive distance[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We study the core hole-electron correlation in coherently coupled molecules by energy dispersive near edge x-ray absorption fine-structure spectroscopy. In a transient phase, which exists during the transition between two bulk arrangements, 1,4,5,8-naphthalene-tetracarboxylicacid-dianhydride multilayer films exhibit peculiar changes of the line shape and energy position of the x-ray absorption signal at the C *K*-edge with respect to the bulk and gas phase spectra. By a comparison to a theoretical model based on a coupling of transition dipoles, which is established for optical absorption, we demonstrate that the observed spectroscopic differences can be explained by an intermolecular delocalized core hole-electron pair. By applying this model we can furthermore quantify the coherence length of the delocalized core exciton.'
author:
- 'M. Scholz'
- 'F. Holch'
- 'C. Sauer'
- 'M. Wiessner'
- 'A. Schöll'
- 'F. Reinert'
title: 'Core Hole-Electron Correlation in Coherently Coupled Molecules'
---
X-ray absorption measurements at high-resolution beam lines of third-generation synchrotron sources are a powerful tool | ---
abstract: 'We study the core hole-electron correlation in coherently coupled molecules by energy dispersive near edge x-ray absorption fine-structure spectroscopy. In a transient phase, which exists during the transition between two bulk arrangements, 1,4,5,8-naphthalene-tetracarboxylicacid-dianhydride multilayer films exhibit peculiar changes of the line shape and energy position of the x-ray absorption signal at the C *K*-edge with respect to the bulk and gas phase spectra. By a comparison to a theoretical model based on a coupling of transition dipoles, which is established for optical absorption, we demonstrate that the observed spectroscopic differences can be explained by an intermolecular delocalized core hole-electron pair. By applying this model we can furthermore quantify the coherence length of the delocalized core exciton.'
author:
- 'M. Scholz'
- 'F. Holch'
- 'C. Sauer'
- 'M. Wiessner'
- 'A. Schöll'
- 'F. Reinert'
title: 'Core Hole-Electron Correlation in Coherently Coupled Molecules'
---
X-ray absorption measurements at high-resolution beam lines of third-generation synchrotron sources are a powerful tool[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We present Monte Carlo simulations of the dynamical evolution of the Oort cloud over the age of the Solar System, using an initial sample of one million test comets without any cloning. Our model includes perturbations due to the Galactic tide (radial and vertical) and passing stars. We present the first detailed analysis of the injection mechanism into observable orbits by comparing the complete model with separate models for tidal and stellar perturbations alone. We find that a fundamental role for injecting comets from the region outside the loss cone (perihelion distance $q > 15$ AU) into observable orbits ($q < 5$ AU) is played by stellar perturbations. These act in synergy with the tide such that the total injection rate is significantly larger than the sum of the two separate rates. This synergy is as important during comet showers as during quiescent periods and concerns comets with both small and | ---
abstract: 'We present Monte Carlo simulations of the dynamical evolution of the Oort cloud over the age of the Solar System, using an initial sample of one million test comets without any cloning. Our model includes perturbations due to the Galactic tide (radial and vertical) and passing stars. We present the first detailed analysis of the injection mechanism into observable orbits by comparing the complete model with separate models for tidal and stellar perturbations alone. We find that a fundamental role for injecting comets from the region outside the loss cone (perihelion distance $q > 15$ AU) into observable orbits ($q < 5$ AU) is played by stellar perturbations. These act in synergy with the tide such that the total injection rate is significantly larger than the sum of the two separate rates. This synergy is as important during comet showers as during quiescent periods and concerns comets with both small and[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We show higher interior regularity for the Westervelt equation with strong nonlinear damping term of the $q$-Laplace type. Secondly, we investigate an interface coupling problem for these models, which arise, e.g., in the context of medical applications of high intensity focused ultrasound in the treatment of kidney stones. We show that the solution to the coupled problem exhibits piecewise $H^2$ regularity in space, provided that the gradient of the acoustic pressure is essentially bounded in space and time on the whole domain. This result is of importance in numerical approximations of the present problem, as well as in gradient based algorithms for finding the optimal shape of the focusing acoustic lens in lithotripsy.'
address:
- |
Insitut für Mathematik, Alpen-Adria-Universität Klagenfurt\
Universitätsstra[ß]{}e 65-57, 9020 Klagenfurt am Wörthersee, Austria
- |
Insitut für Mathematik, Alpen-Adria-Universität Klagenfurt\
Universitätsstra[ß]{}e 65-57, 9020 Klagenfurt am | ---
abstract: 'We show higher interior regularity for the Westervelt equation with strong nonlinear damping term of the $q$-Laplace type. Secondly, we investigate an interface coupling problem for these models, which arise, e.g., in the context of medical applications of high intensity focused ultrasound in the treatment of kidney stones. We show that the solution to the coupled problem exhibits piecewise $H^2$ regularity in space, provided that the gradient of the acoustic pressure is essentially bounded in space and time on the whole domain. This result is of importance in numerical approximations of the present problem, as well as in gradient based algorithms for finding the optimal shape of the focusing acoustic lens in lithotripsy.'
address:
- |
Insitut für Mathematik, Alpen-Adria-Universität Klagenfurt\
Universitätsstra[ß]{}e 65-57, 9020 Klagenfurt am Wörthersee, Austria
- |
Insitut für Mathematik, Alpen-Adria-Universität Klagenfurt\
Universitätsstra[ß]{}e 65-57, 9020 Klagenfurt am[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We have studied the problem of the dissipative motion of Bloch walls considering a totally anisotropic one dimensional spin chain in the presence of a magnetic field. Using the so-called “collective coordinate method” we construct an effective Hamiltonian for the Bloch wall coupled to the magnetic excitations of the system. It allows us to analyze the Brownian motion of the wall in terms of the reflection coefficient of the effective potential felt by the excitations due to the existence of the wall. We find that for finite values of the external field the wall mobility is also finite. The spectrum of the potential at large fields is investigated and the dependence of the damping constant on temperature is evaluated. As a result we find the temperature and magnetic field dependence of the wall mobility.'
address:
- |
$^{1}$Departamento de Física, Facultad de Ciencias Exactas y Naturales,\
| ---
abstract: 'We have studied the problem of the dissipative motion of Bloch walls considering a totally anisotropic one dimensional spin chain in the presence of a magnetic field. Using the so-called “collective coordinate method” we construct an effective Hamiltonian for the Bloch wall coupled to the magnetic excitations of the system. It allows us to analyze the Brownian motion of the wall in terms of the reflection coefficient of the effective potential felt by the excitations due to the existence of the wall. We find that for finite values of the external field the wall mobility is also finite. The spectrum of the potential at large fields is investigated and the dependence of the damping constant on temperature is evaluated. As a result we find the temperature and magnetic field dependence of the wall mobility.'
address:
- |
$^{1}$Departamento de Física, Facultad de Ciencias Exactas y Naturales,\
[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'Victor Kalvin, Alexey Kokotov'
title: Determinant of Laplacian on tori of constant positive curvature with one conical point
---
We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extensions) of the Laplacians on a compact Riemann surface of genus one with conformal metric of curvature $1$ having a single conical singularity of angle $4\pi$.
Introduction
============
Let $X$ be a compact Riemann surface of genus one and let $P\in X$. According to [@CLW], Cor. 3. 5. 1, there exists [*at most*]{} one conformal metric on $X$ of constant curvature $1$ with a (single) conical point of angle $4\pi$ at $P$. The following simple construction shows that such a metric, $m(X, P)$, in fact always exists (and due to [@CLW] is unique).
Consider the spherical triangle $T=\{(x_1, x_2, x_3)\in S^2\subset {\mathbb R}^3: x_1\geq 0, x_2\geq 0, x_3\geq 0\}$ with all three angles equal to $\pi/2$. Gluing two copies of $T$ along their boundaries, we | ---
author:
- 'Victor Kalvin, Alexey Kokotov'
title: Determinant of Laplacian on tori of constant positive curvature with one conical point
---
We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extensions) of the Laplacians on a compact Riemann surface of genus one with conformal metric of curvature $1$ having a single conical singularity of angle $4\pi$.
Introduction
============
Let $X$ be a compact Riemann surface of genus one and let $P\in X$. According to [@CLW], Cor. 3. 5. 1, there exists [*at most*]{} one conformal metric on $X$ of constant curvature $1$ with a (single) conical point of angle $4\pi$ at $P$. The following simple construction shows that such a metric, $m(X, P)$, in fact always exists (and due to [@CLW] is unique).
Consider the spherical triangle $T=\{(x_1, x_2, x_3)\in S^2\subset {\mathbb R}^3: x_1\geq 0, x_2\geq 0, x_3\geq 0\}$ with all three angles equal to $\pi/2$. Gluing two copies of $T$ along their boundaries, we[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'A Fermi’s Golden Rule for population transfer between instantaneous eigenstates of elliptical quantum billiards with oscillating boundaries is derived. Thereby, both the occurrence of the recently observed resonant population transfer between instantaneous eigenstates \[F. Lenz et al. New J. Phys., [**13**]{}, 103019, 2011\] and the empirical criterion stating that these transitions occur when the driving frequency matches the mean difference of the latter are explained. As a second main result a criterion judging which resonances are resolvable in a corresponding experiment of certain duration is provided. Our analysis is complemented by numerical simulations for three different driving laws. The corresponding resonance spectra are in agreement with the predictions of both criteria.'
author:
- Jakob Liss
- Benno Liebchen
- Peter Schmelcher
title: 'Analysis of resonant population transfer in time-dependent elliptical quantum billiards'
---
Introduction
============
Classical driven billiards of varying geometry have been subject to intensive research during the last years [@Loskutov1; @Loskutov2; @Leonel1; @Leonel2; @Leonel3; @Leonel4; @Leonel5; | ---
abstract: 'A Fermi’s Golden Rule for population transfer between instantaneous eigenstates of elliptical quantum billiards with oscillating boundaries is derived. Thereby, both the occurrence of the recently observed resonant population transfer between instantaneous eigenstates \[F. Lenz et al. New J. Phys., [**13**]{}, 103019, 2011\] and the empirical criterion stating that these transitions occur when the driving frequency matches the mean difference of the latter are explained. As a second main result a criterion judging which resonances are resolvable in a corresponding experiment of certain duration is provided. Our analysis is complemented by numerical simulations for three different driving laws. The corresponding resonance spectra are in agreement with the predictions of both criteria.'
author:
- Jakob Liss
- Benno Liebchen
- Peter Schmelcher
title: 'Analysis of resonant population transfer in time-dependent elliptical quantum billiards'
---
Introduction
============
Classical driven billiards of varying geometry have been subject to intensive research during the last years [@Loskutov1; @Loskutov2; @Leonel1; @Leonel2; @Leonel3; @Leonel4; @Leonel5;[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'To predict whether a coronal mass ejection (CME) will impact Earth, the effects of the background on the CME’s trajectory must be taken into account. We develop a model, ForeCAT (Forecasting a CME’s Altered Trajectory), of CME deflection due to magnetic forces. ForeCAT includes CME expansion, a three-part propagation model, and the effects of drag on the CME’s deflection. Given the background solar wind conditions, the launch site of the CME, and the properties of the CME (mass, final propagation speed, initial radius, and initial magnetic strength), ForeCAT predicts the deflection of the CME. Two different magnetic backgrounds are considered: a scaled background based on type II radio burst profiles and a Potential Field Source Surface (PFSS) background. For a scaled background where the CME is launched from an active region located between a CH and streamer region the strong magnetic gradients cause a deflection of 8.1${^{\circ}}$ in latitude | ---
abstract: 'To predict whether a coronal mass ejection (CME) will impact Earth, the effects of the background on the CME’s trajectory must be taken into account. We develop a model, ForeCAT (Forecasting a CME’s Altered Trajectory), of CME deflection due to magnetic forces. ForeCAT includes CME expansion, a three-part propagation model, and the effects of drag on the CME’s deflection. Given the background solar wind conditions, the launch site of the CME, and the properties of the CME (mass, final propagation speed, initial radius, and initial magnetic strength), ForeCAT predicts the deflection of the CME. Two different magnetic backgrounds are considered: a scaled background based on type II radio burst profiles and a Potential Field Source Surface (PFSS) background. For a scaled background where the CME is launched from an active region located between a CH and streamer region the strong magnetic gradients cause a deflection of 8.1${^{\circ}}$ in latitude[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We present a combined ion imaging and density functional theory study of the dynamics of the desorption process of rubidium and cesium atoms off the surface of helium nanodroplets upon excitation of the perturbed $6s$ and $7s$ states, respectively. Both experimental and theoretical results are well represented by the pseudodiatomic model for effective masses of the helium droplet in the desorption reaction of $m_{\mathrm{eff}}/m_{\mathrm{He}}\approx$10 (Rb) and 13 (Cs). Deviations from this model are found for Rb excited to the $6p$ state. Photoelectron spectra indicate that the dopant-droplet interaction induces relaxation into low-lying electronic states of the desorbed atoms in the course of the ejection process.'
author:
- 'J. von Vangerow'
- 'A. Sieg'
- 'F. Stienkemeier'
- 'M. Mudrich'
- 'A. Leal'
- 'D. Mateo'
- 'A. Hernando'
- 'M. Barranco'
- 'M. Pi'
title: 'Desorption Dynamics of Heavy Alkali Metal Atoms (Rb, Cs) off the Surface of Helium Nanodroplets'
---
\[sec:Intro\]Introduction
=========================
Helium nanodroplets are fascinating many-body quantum systems which feature unique properties | ---
abstract: 'We present a combined ion imaging and density functional theory study of the dynamics of the desorption process of rubidium and cesium atoms off the surface of helium nanodroplets upon excitation of the perturbed $6s$ and $7s$ states, respectively. Both experimental and theoretical results are well represented by the pseudodiatomic model for effective masses of the helium droplet in the desorption reaction of $m_{\mathrm{eff}}/m_{\mathrm{He}}\approx$10 (Rb) and 13 (Cs). Deviations from this model are found for Rb excited to the $6p$ state. Photoelectron spectra indicate that the dopant-droplet interaction induces relaxation into low-lying electronic states of the desorbed atoms in the course of the ejection process.'
author:
- 'J. von Vangerow'
- 'A. Sieg'
- 'F. Stienkemeier'
- 'M. Mudrich'
- 'A. Leal'
- 'D. Mateo'
- 'A. Hernando'
- 'M. Barranco'
- 'M. Pi'
title: 'Desorption Dynamics of Heavy Alkali Metal Atoms (Rb, Cs) off the Surface of Helium Nanodroplets'
---
\[sec:Intro\]Introduction
=========================
Helium nanodroplets are fascinating many-body quantum systems which feature unique properties[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
We present the results of a search for standard model Higgs boson production with decay to $WW^{*}$, identified through the leptonic final states $e^{+}e^{-}\bar{\nu} \nu ,~e^{\pm}\mu^{\mp} \bar{\nu}
\nu$ and $\mu^{+}\mu^{-} \bar{\nu} \nu$. This search uses 360 $\rm{pb}^{-1}$ of data collected from $p\bar{p}$ collisions at $\sqrt{s}$ = 1.96 TeV by the upgraded Collider Detector at Fermilab (CDF II). We observe no signal excess and set 95% confidence level upper limits on the production cross section times branching ratio for the Higgs boson to $WW^{*}$ or any new scalar particle with similar decay products. These upper limits range from 5.5 to 3.2 $\rm{pb}$ for Higgs boson masses between 120 and 200 GeV/$c^2$.
author:
- The CDF Collaboration
title: ' Search for a Neutral Higgs Boson Decaying to a $W$ Boson Pair in $p\bar{p}$ Collisions at $\sqrt{s} = 1.96$ TeV '
---
The Higgs mechanism is a leading candidate for electroweak | ---
abstract: |
We present the results of a search for standard model Higgs boson production with decay to $WW^{*}$, identified through the leptonic final states $e^{+}e^{-}\bar{\nu} \nu ,~e^{\pm}\mu^{\mp} \bar{\nu}
\nu$ and $\mu^{+}\mu^{-} \bar{\nu} \nu$. This search uses 360 $\rm{pb}^{-1}$ of data collected from $p\bar{p}$ collisions at $\sqrt{s}$ = 1.96 TeV by the upgraded Collider Detector at Fermilab (CDF II). We observe no signal excess and set 95% confidence level upper limits on the production cross section times branching ratio for the Higgs boson to $WW^{*}$ or any new scalar particle with similar decay products. These upper limits range from 5.5 to 3.2 $\rm{pb}$ for Higgs boson masses between 120 and 200 GeV/$c^2$.
author:
- The CDF Collaboration
title: ' Search for a Neutral Higgs Boson Decaying to a $W$ Boson Pair in $p\bar{p}$ Collisions at $\sqrt{s} = 1.96$ TeV '
---
The Higgs mechanism is a leading candidate for electroweak[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Radiative transfer effects due to overlapping X-ray lines in a high-temperature, optically-thick, highly-ionized medium are investigated. One particular example, where the [Ly$\alpha$]{} doublet ($2~^2P_{1/2;3/2}$ – $1~^2S_{1/2}$) coincide in frequency with the [Ly$\zeta$]{} lines ($7~^2P_{1/2;3/2}$ – $1~^2S_{1/2}$) is studied in detail to illustrate the effects on the properties of the emergent line spectrum. We solve the radiative transfer equation to study the energy transport of resonance line radiation in a static, infinite, plane-parallel geometry, which is used to compute the destruction/escape probabilities for each of the lines for various total optical thicknesses of the medium, as well as destruction probabilities by sources of underlying photoelectric opacity. It is found that a large fraction of the [Ly$\alpha$]{} line radiation can be destroyed by , which can result in an reversal of the [Ly$\alpha$]{}/ [Ly$\alpha$]{} line intensity ratio similar to what may be seen under non-solar abundances. Photoelectric absorption by ionized carbon and nitrogen can also subsequently | ---
abstract: 'Radiative transfer effects due to overlapping X-ray lines in a high-temperature, optically-thick, highly-ionized medium are investigated. One particular example, where the [Ly$\alpha$]{} doublet ($2~^2P_{1/2;3/2}$ – $1~^2S_{1/2}$) coincide in frequency with the [Ly$\zeta$]{} lines ($7~^2P_{1/2;3/2}$ – $1~^2S_{1/2}$) is studied in detail to illustrate the effects on the properties of the emergent line spectrum. We solve the radiative transfer equation to study the energy transport of resonance line radiation in a static, infinite, plane-parallel geometry, which is used to compute the destruction/escape probabilities for each of the lines for various total optical thicknesses of the medium, as well as destruction probabilities by sources of underlying photoelectric opacity. It is found that a large fraction of the [Ly$\alpha$]{} line radiation can be destroyed by , which can result in an reversal of the [Ly$\alpha$]{}/ [Ly$\alpha$]{} line intensity ratio similar to what may be seen under non-solar abundances. Photoelectric absorption by ionized carbon and nitrogen can also subsequently[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] 22.5cm 15.0cm
1.0in
1.0in Tomo Munehisa and Yasuko Munehisa\
0.5in Faculty of Engineering, Yamanashi University\
Kofu, Yamanashi, 400 Japan\
1.5in
We propose new approach to numerical study of quantum spin systems. Our method is based on a fact that one can use any set of states for the path integral as long as it is complete. We apply our method to one-dimensional quantum spin system with next-to-nearest neighbor interactions. We found remarkable improvement in negative sign problem.
[**Section 1 Introduction**]{}
Recently quantum spin systems have obtained much interests among people in various fields. One reason for it is that Haldane found characteristic property of the quantum spin system which is difficult to imagine in the classical case [@fdmh]. Another reason comes from the possible relationship between the antiferromagnetic system on a 2-dimensional square lattice and the high $T_c$ materials [@hightc].
One powerful tool to numerically investigate quantum spin systems is Monte Carlo approach using the Suzuki-Trotter formula [@st]. Study | 22.5cm 15.0cm
1.0in
1.0in Tomo Munehisa and Yasuko Munehisa\
0.5in Faculty of Engineering, Yamanashi University\
Kofu, Yamanashi, 400 Japan\
1.5in
We propose new approach to numerical study of quantum spin systems. Our method is based on a fact that one can use any set of states for the path integral as long as it is complete. We apply our method to one-dimensional quantum spin system with next-to-nearest neighbor interactions. We found remarkable improvement in negative sign problem.
[**Section 1 Introduction**]{}
Recently quantum spin systems have obtained much interests among people in various fields. One reason for it is that Haldane found characteristic property of the quantum spin system which is difficult to imagine in the classical case [@fdmh]. Another reason comes from the possible relationship between the antiferromagnetic system on a 2-dimensional square lattice and the high $T_c$ materials [@hightc].
One powerful tool to numerically investigate quantum spin systems is Monte Carlo approach using the Suzuki-Trotter formula [@st]. Study[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'Yoske Sumitomo, Markus Rummel'
bibliography:
- 'myrefs.bib'
title: '**De Sitter Vacua from a D-term Generated Racetrack Uplift**'
---
KEK-TH-1755
[**De Sitter Vacua from\
a D-term Generated Racetrack Uplift**]{}
[Markus Rummel${}^{1}$ and Yoske Sumitomo${}^{2}$, ]{}
0.6cm
${^1}$Rudolph Peierls Centre for Theoretical Physics, University of Oxford,\
1 Keble Road, Oxford, OX1 3NP, United Kingdom\
${}^2$ High Energy Accelerator Research Organization, KEK,\
1-1 Oho, Tsukuba, Ibaraki 305-0801 Japan\
0.4cm
Email: [markus.rummel at physics.ox.ac.uk, sumitomo at post.kek.jp](mailto:markus.rummel@physics.ox.ac.uk, sumitomo@post.kek.jp)
1.0cm
Introduction
============
Dark Energy is the dominant source causing the current accelerated expansion of the universe, as has been confirmed by observations [@Riess:1998cb; @Schmidt:1998ys; @Bennett:2012zja; @Ade:2013zuv]. Although there exist some possibilities explaining Dark Energy, a tiny positive cosmological constant would be the prime candidate, in perfect agreement with recent observations [@Bennett:2012zja; @Ade:2013zuv].
If one wants to understand the purely theoretically origin of this cosmological constant, we should promote Einstein gravity to be consistent with its quantum formulation. String theory is quite motivated for this purpose as it is expected to provide the quantum nature of gravity | ---
author:
- 'Yoske Sumitomo, Markus Rummel'
bibliography:
- 'myrefs.bib'
title: '**De Sitter Vacua from a D-term Generated Racetrack Uplift**'
---
KEK-TH-1755
[**De Sitter Vacua from\
a D-term Generated Racetrack Uplift**]{}
[Markus Rummel${}^{1}$ and Yoske Sumitomo${}^{2}$, ]{}
0.6cm
${^1}$Rudolph Peierls Centre for Theoretical Physics, University of Oxford,\
1 Keble Road, Oxford, OX1 3NP, United Kingdom\
${}^2$ High Energy Accelerator Research Organization, KEK,\
1-1 Oho, Tsukuba, Ibaraki 305-0801 Japan\
0.4cm
Email: [markus.rummel at physics.ox.ac.uk, sumitomo at post.kek.jp](mailto:markus.rummel@physics.ox.ac.uk, sumitomo@post.kek.jp)
1.0cm
Introduction
============
Dark Energy is the dominant source causing the current accelerated expansion of the universe, as has been confirmed by observations [@Riess:1998cb; @Schmidt:1998ys; @Bennett:2012zja; @Ade:2013zuv]. Although there exist some possibilities explaining Dark Energy, a tiny positive cosmological constant would be the prime candidate, in perfect agreement with recent observations [@Bennett:2012zja; @Ade:2013zuv].
If one wants to understand the purely theoretically origin of this cosmological constant, we should promote Einstein gravity to be consistent with its quantum formulation. String theory is quite motivated for this purpose as it is expected to provide the quantum nature of gravity[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The author introduces the concept of harmonically $s$-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.'
address: |
Department of Mathematics, Faculty of Arts and Sciences,\
Giresun University, 28100, Giresun, Turkey.
author:
- İmdat İşcan
title: 'Ostrowski type inequalities for harmonically $s$-convex functions'
---
Introduction
============
Let $f:I\mathbb{\rightarrow R}$, where $I\subseteq \mathbb{R}$ is an interval, be a mapping differentiable in $I^{\circ }$ (the interior of $I$) and let $a,b\in I^{\circ }$ with $a<b.$ If $\left\vert f^{\prime
}(x)\right\vert \leq M,$ for all $x\in \left[ a,b\right] ,$ then the following inequality holds$$\left\vert f(x)-\frac{1}{b-a}\int_{a}^{b}f(t)dt\right\vert \leq M(b-a)\left[
\frac{1}{4}+\frac{\left( x-\frac{a+b}{2}\right) ^{2}}{\left( b-a\right) ^{2}}%
\right] \label{1-1}$$for all $x\in \left[ a,b\right] .$ This inequality is known in the literature as the Ostrowski inequality (see [@O38]), which gives an upper bound for the approximation of the integral average $\frac{1}{b-a}%
\int_{a}^{b}f(t)dt$ by the value $f(x)$ at point $x\in \left[ a,b\right] $. For some results which | ---
abstract: 'The author introduces the concept of harmonically $s$-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.'
address: |
Department of Mathematics, Faculty of Arts and Sciences,\
Giresun University, 28100, Giresun, Turkey.
author:
- İmdat İşcan
title: 'Ostrowski type inequalities for harmonically $s$-convex functions'
---
Introduction
============
Let $f:I\mathbb{\rightarrow R}$, where $I\subseteq \mathbb{R}$ is an interval, be a mapping differentiable in $I^{\circ }$ (the interior of $I$) and let $a,b\in I^{\circ }$ with $a<b.$ If $\left\vert f^{\prime
}(x)\right\vert \leq M,$ for all $x\in \left[ a,b\right] ,$ then the following inequality holds$$\left\vert f(x)-\frac{1}{b-a}\int_{a}^{b}f(t)dt\right\vert \leq M(b-a)\left[
\frac{1}{4}+\frac{\left( x-\frac{a+b}{2}\right) ^{2}}{\left( b-a\right) ^{2}}%
\right] \label{1-1}$$for all $x\in \left[ a,b\right] .$ This inequality is known in the literature as the Ostrowski inequality (see [@O38]), which gives an upper bound for the approximation of the integral average $\frac{1}{b-a}%
\int_{a}^{b}f(t)dt$ by the value $f(x)$ at point $x\in \left[ a,b\right] $. For some results which[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'This paper considers broadcast channels with $L$ antennas at the base station and $m$ single-antenna users, where each user has perfect channel knowledge and the base station obtains channel information through a finite rate feedback. The key observation of this paper is that the optimal number of on-users (users turned on), say $s$, is a function of signal-to-noise ratio (SNR) and other system parameters. Towards this observation, we use asymptotic analysis to guide the design of feedback and transmission strategies. As $L$, $m$ and the feedback rates approach infinity linearly, we derive the asymptotic optimal feedback strategy and a realistic criterion to decide which users should be turned on. Define the corresponding asymptotic throughput per antenna as the *spatial efficiency*. It is a function of the number of on-users $s$, and therefore, $s$ should be appropriately chosen. Based on the above asymptotic results, we also develop a scheme for | ---
abstract: 'This paper considers broadcast channels with $L$ antennas at the base station and $m$ single-antenna users, where each user has perfect channel knowledge and the base station obtains channel information through a finite rate feedback. The key observation of this paper is that the optimal number of on-users (users turned on), say $s$, is a function of signal-to-noise ratio (SNR) and other system parameters. Towards this observation, we use asymptotic analysis to guide the design of feedback and transmission strategies. As $L$, $m$ and the feedback rates approach infinity linearly, we derive the asymptotic optimal feedback strategy and a realistic criterion to decide which users should be turned on. Define the corresponding asymptotic throughput per antenna as the *spatial efficiency*. It is a function of the number of on-users $s$, and therefore, $s$ should be appropriately chosen. Based on the above asymptotic results, we also develop a scheme for[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'E. Valenti, M. Zoccali, A. Mucciarelli, O. A. Gonzalez, F. Surot Madrid, D. Minniti, M. Rejkuba'
- 'L. Pasquini'
- 'G. Fiorentino'
- 'G. Bono R. M. Rich M. Soto'
bibliography:
- 'mybiblio.bib'
title: 'The central velocity dispersion of the Milky Way bulge [^1]'
---
[Recent spectroscopic and photometric surveys are providing a comprehensive view of the Milky Way bulge stellar population properties with unprecedented accuracy. This in turn allows us to explore the correlation between kinematics and stellar density distribution, crucial to constraint the models of Galactic bulge formation.]{} [The Giraffe Inner Bulge Survey (GIBS) revealed the presence of a velocity dispersion peak in the central few degrees of the Galaxy by consistently measuring high velocity dispersion in three central most fields. Due to suboptimal distribution of these fields, all being at negative latitudes and close to each other, the shape and extension of the sigma peak is poorly constrained. In this study we address this by | ---
author:
- 'E. Valenti, M. Zoccali, A. Mucciarelli, O. A. Gonzalez, F. Surot Madrid, D. Minniti, M. Rejkuba'
- 'L. Pasquini'
- 'G. Fiorentino'
- 'G. Bono R. M. Rich M. Soto'
bibliography:
- 'mybiblio.bib'
title: 'The central velocity dispersion of the Milky Way bulge [^1]'
---
[Recent spectroscopic and photometric surveys are providing a comprehensive view of the Milky Way bulge stellar population properties with unprecedented accuracy. This in turn allows us to explore the correlation between kinematics and stellar density distribution, crucial to constraint the models of Galactic bulge formation.]{} [The Giraffe Inner Bulge Survey (GIBS) revealed the presence of a velocity dispersion peak in the central few degrees of the Galaxy by consistently measuring high velocity dispersion in three central most fields. Due to suboptimal distribution of these fields, all being at negative latitudes and close to each other, the shape and extension of the sigma peak is poorly constrained. In this study we address this by[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Full-duplex (FD) technology is envisaged as a key component for future mobile broadband networks due to its ability to boost the spectral efficiency. FD systems can transmit and receive simultaneously on the same frequency at the expense of residual self-interference and additional interference to the network compared with half-duplex (HD) transmission. This paper analyzes the performance of wireless networks with FD multi-antenna base stations (BSs) and HD user equipments (UEs) using stochastic geometry. Our analytical results quantify the success probability and the achievable spectral efficiency and indicate the amount of cancellation needed for beneficial FD operation.'
author:
- |
Italo Atzeni, *Member*, *IEEE*, and Marios Kountouris, *Senior Member*, *IEEE* [^1]\
[^2]
bibliography:
- 'IEEEabrv.bib'
- 'ref\_Huawei.bib'
title: |
Full-Duplex MIMO Small-Cell Networks\
with Interference Cancellation
---
Full duplex, interference cancellation, multiple antennas, performance analysis, small cells, stochastic geometry, ultra-dense networks.
Introduction {#sec:Intro}
============
Full-duplex (FD) communication is an | ---
abstract: 'Full-duplex (FD) technology is envisaged as a key component for future mobile broadband networks due to its ability to boost the spectral efficiency. FD systems can transmit and receive simultaneously on the same frequency at the expense of residual self-interference and additional interference to the network compared with half-duplex (HD) transmission. This paper analyzes the performance of wireless networks with FD multi-antenna base stations (BSs) and HD user equipments (UEs) using stochastic geometry. Our analytical results quantify the success probability and the achievable spectral efficiency and indicate the amount of cancellation needed for beneficial FD operation.'
author:
- |
Italo Atzeni, *Member*, *IEEE*, and Marios Kountouris, *Senior Member*, *IEEE* [^1]\
[^2]
bibliography:
- 'IEEEabrv.bib'
- 'ref\_Huawei.bib'
title: |
Full-Duplex MIMO Small-Cell Networks\
with Interference Cancellation
---
Full duplex, interference cancellation, multiple antennas, performance analysis, small cells, stochastic geometry, ultra-dense networks.
Introduction {#sec:Intro}
============
Full-duplex (FD) communication is an[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The stationary state of stochastic processes such as reaction-diffusion systems can be related to the ground state of a suitably defined quantum Hamiltonian. Using this analogy, we investigate the applicability of a real space renormalisation group approach, originally developped for quantum spin systems, to interacting particle systems. We apply the technique to an exactly solvable reaction-diffusion system and to the contact process (both in $d=1$). In the former case, several exact results are recovered. For the contact process, surprisingly good estimates of critical parameters are obtained from a small-cell renormalisation.'
author:
- |
Jef Hooyberghs[^1] , Carlo Vanderzande\
Departement WNI, Limburgs Universitair Centrum\
3590 Diepenbeek, Belgium\
title: '**[Real space renormalisation for reaction-diffusion systems]{}**'
---
\
Introduction
============
Reaction-diffusion systems and other interacting particle systems are relevant for the description of several phenomena in physics, chemistry and biology [@VK]. In the past, they have been mainly modelled by (non-linear) partial | ---
abstract: 'The stationary state of stochastic processes such as reaction-diffusion systems can be related to the ground state of a suitably defined quantum Hamiltonian. Using this analogy, we investigate the applicability of a real space renormalisation group approach, originally developped for quantum spin systems, to interacting particle systems. We apply the technique to an exactly solvable reaction-diffusion system and to the contact process (both in $d=1$). In the former case, several exact results are recovered. For the contact process, surprisingly good estimates of critical parameters are obtained from a small-cell renormalisation.'
author:
- |
Jef Hooyberghs[^1] , Carlo Vanderzande\
Departement WNI, Limburgs Universitair Centrum\
3590 Diepenbeek, Belgium\
title: '**[Real space renormalisation for reaction-diffusion systems]{}**'
---
\
Introduction
============
Reaction-diffusion systems and other interacting particle systems are relevant for the description of several phenomena in physics, chemistry and biology [@VK]. In the past, they have been mainly modelled by (non-linear) partial[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Despite remarkable success in practice, modern machine learning models have been found to be susceptible to adversarial attacks that make human-imperceptible perturbations to the data, but result in serious and potentially dangerous prediction errors. To address this issue, practitioners often use adversarial training to learn models that are robust against such attacks at the cost of weaker generalization accuracy on unperturbed test sets. The conventional wisdom is that more training data should shrink the generalization gap between adversarially-trained models and standard models. However, we study the training of robust classifiers for both Gaussian and Bernoulli models under $\ell_\infty$ attacks, and we prove that more data may actually increase this gap. Furthermore, our theoretical results identify if and when additional data will finally begin to shrink the gap. Lastly, we experimentally demonstrate that our results also hold for linear regression models, which may indicate that this phenomenon occurs more broadly.'
author:
- | ---
abstract: 'Despite remarkable success in practice, modern machine learning models have been found to be susceptible to adversarial attacks that make human-imperceptible perturbations to the data, but result in serious and potentially dangerous prediction errors. To address this issue, practitioners often use adversarial training to learn models that are robust against such attacks at the cost of weaker generalization accuracy on unperturbed test sets. The conventional wisdom is that more training data should shrink the generalization gap between adversarially-trained models and standard models. However, we study the training of robust classifiers for both Gaussian and Bernoulli models under $\ell_\infty$ attacks, and we prove that more data may actually increase this gap. Furthermore, our theoretical results identify if and when additional data will finally begin to shrink the gap. Lastly, we experimentally demonstrate that our results also hold for linear regression models, which may indicate that this phenomenon occurs more broadly.'
author:
-[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We address the role of short range interactions for spinless fermions in the hyperhoneycomb lattice, a three dimensional (3D) structure where all sites have a planar trigonal connectivity. For weak interactions, the system is a line-node semimetal. In the presence of strong interactions, we show that the system can be unstable to a 3D quantum anomalous Hall phase with loop currents that break time reversal symmetry, as in the Haldane model. We find that the low energy excitations of this state are Weyl fermions connected by surface Fermi arcs. We show that the 3D anomalous Hall conductivity is $e^{2}/(\sqrt{3}ah)$, with $a$ the lattice constant.'
author:
- 'Sang Wook Kim, Kangjun Seo, and Bruno Uchoa'
title: 3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices
---
*Introduction. $-$* The quantum Hall conductivity describes dissipationless transport of electrons in a system that breaks time reversal symmetry (TRS) due to an external applied magnetic field. In two | ---
abstract: 'We address the role of short range interactions for spinless fermions in the hyperhoneycomb lattice, a three dimensional (3D) structure where all sites have a planar trigonal connectivity. For weak interactions, the system is a line-node semimetal. In the presence of strong interactions, we show that the system can be unstable to a 3D quantum anomalous Hall phase with loop currents that break time reversal symmetry, as in the Haldane model. We find that the low energy excitations of this state are Weyl fermions connected by surface Fermi arcs. We show that the 3D anomalous Hall conductivity is $e^{2}/(\sqrt{3}ah)$, with $a$ the lattice constant.'
author:
- 'Sang Wook Kim, Kangjun Seo, and Bruno Uchoa'
title: 3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices
---
*Introduction. $-$* The quantum Hall conductivity describes dissipationless transport of electrons in a system that breaks time reversal symmetry (TRS) due to an external applied magnetic field. In two[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We introduce a new method for reconstructing the primordial power spectrum, $P(k)$, directly from observations of the Cosmic Microwave Background (CMB). We employ Singular Value Decomposition (SVD) to invert the radiation perturbation transfer function. The degeneracy of the multipole $\ell$ to wavenumber $k$ linear mapping is thus reduced. This enables the inversion to be carried out at each point along a Monte Carlo Markov Chain (MCMC) exploration of the combined $P(k)$ and cosmological parameter space. We present best–fit $P(k)$ obtained with this method along with other cosmological parameters.'
author:
- Gavin Nicholson
- 'Carlo R. Contaldi'
- Paniez Paykari
bibliography:
- 'paper.bib'
title: Reconstruction of the Primordial Power Spectrum by Direct Inversion
---
Introduction
============
The primordial power spectrum of scalar, curvature perturbations $\Phi({\vec k})$ is defined as, $$\label{eq:pkdef}
P(k) \equiv \frac{k^3}{2\pi^2}\delta^3(\vec{k}-\vec{k'})\langle\Phi(\vec{k})\Phi^*(\vec{k'})\rangle ,$$ where $k\equiv |\vec k|$ is the wavenumber. The spectrum encodes the initial conditions for the system of coupled Einstein–Boltzmann equations which describe the evolution of density and radiation | ---
abstract: 'We introduce a new method for reconstructing the primordial power spectrum, $P(k)$, directly from observations of the Cosmic Microwave Background (CMB). We employ Singular Value Decomposition (SVD) to invert the radiation perturbation transfer function. The degeneracy of the multipole $\ell$ to wavenumber $k$ linear mapping is thus reduced. This enables the inversion to be carried out at each point along a Monte Carlo Markov Chain (MCMC) exploration of the combined $P(k)$ and cosmological parameter space. We present best–fit $P(k)$ obtained with this method along with other cosmological parameters.'
author:
- Gavin Nicholson
- 'Carlo R. Contaldi'
- Paniez Paykari
bibliography:
- 'paper.bib'
title: Reconstruction of the Primordial Power Spectrum by Direct Inversion
---
Introduction
============
The primordial power spectrum of scalar, curvature perturbations $\Phi({\vec k})$ is defined as, $$\label{eq:pkdef}
P(k) \equiv \frac{k^3}{2\pi^2}\delta^3(\vec{k}-\vec{k'})\langle\Phi(\vec{k})\Phi^*(\vec{k'})\rangle ,$$ where $k\equiv |\vec k|$ is the wavenumber. The spectrum encodes the initial conditions for the system of coupled Einstein–Boltzmann equations which describe the evolution of density and radiation[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] LPENSL-TH-11-18
**[Complete spectrum of quantum integrable lattice models associated to $\mathcal{U}_{q} (\widehat{gl_{n}})$ by separation of variables]{}**
[**J. M. Maillet** **and** **G. Niccoli**]{}
- **Abstract.** In this paper we apply our new separation of variables approach to completely characterize the transfer matrix spectrum for quantum integrable lattice models associated to fundamental evaluation representations of $\mathcal{U}_{q} (\widehat{gl_{n}})$ with general quasi-periodic boundary conditions. We consider here the case of generic deformations associated to a parameter $q$ which is not a root of unity. The Separation of Variables (SoV) basis for the transfer matrix spectral problem is generated by using the action of the transfer matrix itself on a generic co-vector of the Hilbert space, following the general procedure described in our paper [@MaiN18]. Such a SoV construction allows to prove that for general values of the parameters defining the model the transfer matrix is diagonalizable and with simple spectrum for any twist matrix which is also | LPENSL-TH-11-18
**[Complete spectrum of quantum integrable lattice models associated to $\mathcal{U}_{q} (\widehat{gl_{n}})$ by separation of variables]{}**
[**J. M. Maillet** **and** **G. Niccoli**]{}
- **Abstract.** In this paper we apply our new separation of variables approach to completely characterize the transfer matrix spectrum for quantum integrable lattice models associated to fundamental evaluation representations of $\mathcal{U}_{q} (\widehat{gl_{n}})$ with general quasi-periodic boundary conditions. We consider here the case of generic deformations associated to a parameter $q$ which is not a root of unity. The Separation of Variables (SoV) basis for the transfer matrix spectral problem is generated by using the action of the transfer matrix itself on a generic co-vector of the Hilbert space, following the general procedure described in our paper [@MaiN18]. Such a SoV construction allows to prove that for general values of the parameters defining the model the transfer matrix is diagonalizable and with simple spectrum for any twist matrix which is also[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Radio-frequency (RF) impairments, which intimately exist in wireless communication systems, can severely limit the performance of multiple-input multiple-output (MIMO) systems. Although we can resort to compensation schemes to mitigate part of these impairments, a certain amount of residual impairments always persists. In this paper, we consider a training-based point-to-point MIMO system with residual transmit RF impairments (RTRI) using spatial multiplexing transmission. Specifically, we derive a new linear channel estimator for the proposed model, and show that RTRI create an estimation error floor in the high signal-to-noise ratio (SNR) regime. Moreover, we derive closed-form expressions for the signal-to-noise-and-interference ratio (SINR) distributions, along with analytical expressions for the ergodic achievable rates of zero-forcing, maximum ratio combining, and minimum mean-squared error receivers, respectively. In addition, we optimize the ergodic achievable rates with respect to the training sequence length, and demonstrate that finite dimensional systems with RTRI generally require more training at high | ---
abstract: 'Radio-frequency (RF) impairments, which intimately exist in wireless communication systems, can severely limit the performance of multiple-input multiple-output (MIMO) systems. Although we can resort to compensation schemes to mitigate part of these impairments, a certain amount of residual impairments always persists. In this paper, we consider a training-based point-to-point MIMO system with residual transmit RF impairments (RTRI) using spatial multiplexing transmission. Specifically, we derive a new linear channel estimator for the proposed model, and show that RTRI create an estimation error floor in the high signal-to-noise ratio (SNR) regime. Moreover, we derive closed-form expressions for the signal-to-noise-and-interference ratio (SINR) distributions, along with analytical expressions for the ergodic achievable rates of zero-forcing, maximum ratio combining, and minimum mean-squared error receivers, respectively. In addition, we optimize the ergodic achievable rates with respect to the training sequence length, and demonstrate that finite dimensional systems with RTRI generally require more training at high[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'D. Heath Jones, Ben W. Stappers'
- 'Bryan M. Gaensler'
date: 'Received ; accepted '
title: 'Discovery of an optical bow-shock around pulsar B0740$-$28[^1]'
---
Introduction
============
Pulsar wind nebulae (PWN) around high-velocity pulsars provide a primary insight into the interaction between a pulsar and its environment. Specifically, optical observations of such nebulae provide important information on pulsar velocities, and on the density, temperature and composition of the ambient medium. However only three pulsars are known to power optical bow-shock PWNe: B2224$+$65 (the ‘Guitar Nebula’, Cordes, et al. [@cordes93]), and the two millisecond pulsars (MSPs) B1957$+$20 (Kulkarni & Hester [@kulkarni88]) and J0437$-$4715 (Bell et al. [@bell95]). All three of these pulsars have high spin-down luminosities and/or high space velocities. However, these pulsars differ markedly in their spin-periods, ages and magnetic field strengths, highlighting the variety of pulsar winds which can be probed by these sources. The nebula associated with the neutron star RX J1856.5$-$3754 further exemplifies the variety of neutron stars known | ---
author:
- 'D. Heath Jones, Ben W. Stappers'
- 'Bryan M. Gaensler'
date: 'Received ; accepted '
title: 'Discovery of an optical bow-shock around pulsar B0740$-$28[^1]'
---
Introduction
============
Pulsar wind nebulae (PWN) around high-velocity pulsars provide a primary insight into the interaction between a pulsar and its environment. Specifically, optical observations of such nebulae provide important information on pulsar velocities, and on the density, temperature and composition of the ambient medium. However only three pulsars are known to power optical bow-shock PWNe: B2224$+$65 (the ‘Guitar Nebula’, Cordes, et al. [@cordes93]), and the two millisecond pulsars (MSPs) B1957$+$20 (Kulkarni & Hester [@kulkarni88]) and J0437$-$4715 (Bell et al. [@bell95]). All three of these pulsars have high spin-down luminosities and/or high space velocities. However, these pulsars differ markedly in their spin-periods, ages and magnetic field strengths, highlighting the variety of pulsar winds which can be probed by these sources. The nebula associated with the neutron star RX J1856.5$-$3754 further exemplifies the variety of neutron stars known[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'Theory of scattering of a quantum-mechanical particle on a cosmic string is developed. S-matrix and scattering amplitude are determined as functions of the flux and the tension of the string. We reveal that, in the case of the nonvanishing tension, the high-frequency limit of the differential scattering cross section does not coincide with the differential cross section for scattering of a classical pointlike particle on a string.'
---
=0.3cm
0.9cm
**On effects of non-Euclidean geometry in quantum theory**
0.3cm
Yu.A. Sitenko $ ^{a\dagger}$, N.D. Vlasii $^{ab\star}$
0.1cm
$^{a}$ *Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine,*
*14 b Metrologichna str., Kyiv 03143 , Ukraine*
$^{b}$ *Department of Physics, Taras Shevchenko National University of Kyiv,*
*6 Academician Glushkov ave., Kyiv 03680, Ukraine*
0.2cm
0.1cm
**Keywords**: cosmic string, Bohm-Aharonov effect
0.1cm
(based on talks given at: the International Workshop “Frontiers of Particle Astrophysics”, June 21-24, 2004, Kyiv, Ukraine; the George Gamow Memorial International Conference “Astrophysics and Cosmology after Gamow - Theory and Observations”, August | ---
abstract: 'Theory of scattering of a quantum-mechanical particle on a cosmic string is developed. S-matrix and scattering amplitude are determined as functions of the flux and the tension of the string. We reveal that, in the case of the nonvanishing tension, the high-frequency limit of the differential scattering cross section does not coincide with the differential cross section for scattering of a classical pointlike particle on a string.'
---
=0.3cm
0.9cm
**On effects of non-Euclidean geometry in quantum theory**
0.3cm
Yu.A. Sitenko $ ^{a\dagger}$, N.D. Vlasii $^{ab\star}$
0.1cm
$^{a}$ *Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine,*
*14 b Metrologichna str., Kyiv 03143 , Ukraine*
$^{b}$ *Department of Physics, Taras Shevchenko National University of Kyiv,*
*6 Academician Glushkov ave., Kyiv 03680, Ukraine*
0.2cm
0.1cm
**Keywords**: cosmic string, Bohm-Aharonov effect
0.1cm
(based on talks given at: the International Workshop “Frontiers of Particle Astrophysics”, June 21-24, 2004, Kyiv, Ukraine; the George Gamow Memorial International Conference “Astrophysics and Cosmology after Gamow - Theory and Observations”, August[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The cosmic web is one of the most striking features of the distribution of galaxies and dark matter on the largest scales in the Universe. It is composed of dense regions packed full of galaxies, long filamentary bridges, flattened sheets and vast low density voids. The study of the cosmic web has focused primarily on the identification of such features, and on understanding the environmental effects on galaxy formation and halo assembly. As such, a variety of different methods have been devised to classify the cosmic web – depending on the data at hand, be it numerical simulations, large sky surveys or other. In this paper we bring twelve of these methods together and apply them to the same data set in order to understand how they compare. In general these cosmic web classifiers have been designed with different cosmological goals in mind, and to study different questions. Therefore | ---
abstract: 'The cosmic web is one of the most striking features of the distribution of galaxies and dark matter on the largest scales in the Universe. It is composed of dense regions packed full of galaxies, long filamentary bridges, flattened sheets and vast low density voids. The study of the cosmic web has focused primarily on the identification of such features, and on understanding the environmental effects on galaxy formation and halo assembly. As such, a variety of different methods have been devised to classify the cosmic web – depending on the data at hand, be it numerical simulations, large sky surveys or other. In this paper we bring twelve of these methods together and apply them to the same data set in order to understand how they compare. In general these cosmic web classifiers have been designed with different cosmological goals in mind, and to study different questions. Therefore[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We give an overview of the work done with the LNE-SYRTE fountain ensemble during the last five years. After a description of the clock ensemble, comprising three fountains FO1, FO2 and FOM, and its newest developments, we review recent studies of several systematic frequency shifts. This includes the distributed cavity phase shift which we evaluate for the FO1 and FOM fountains, applying the techniques of our recent work on FO2. We also report calculations of the microwave lensing frequency shift for the three fountains, review the status of the blackbody radiation shift, and summarize recent experimental work to control microwave leakage and spurious phase perturbations. We give current accuracy budgets. We also describe several applications in time and frequency metrology: fountain comparisons, calibrations of the international atomic time, secondary representation of the SI second based on the $^{87}$Rb hyperfine frequency, absolute measurements of optical frequencies, tests of the T2L2 | ---
abstract: 'We give an overview of the work done with the LNE-SYRTE fountain ensemble during the last five years. After a description of the clock ensemble, comprising three fountains FO1, FO2 and FOM, and its newest developments, we review recent studies of several systematic frequency shifts. This includes the distributed cavity phase shift which we evaluate for the FO1 and FOM fountains, applying the techniques of our recent work on FO2. We also report calculations of the microwave lensing frequency shift for the three fountains, review the status of the blackbody radiation shift, and summarize recent experimental work to control microwave leakage and spurious phase perturbations. We give current accuracy budgets. We also describe several applications in time and frequency metrology: fountain comparisons, calibrations of the international atomic time, secondary representation of the SI second based on the $^{87}$Rb hyperfine frequency, absolute measurements of optical frequencies, tests of the T2L2[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
We consider the lowest order radiative corrections for the decay $K^{\pm}\to \pi^0 e^{\pm} \nu$, usually referred as $K_{e3}^{\pm}$ decay. This decay is the best way to extract the value of the $V_{us}$ element of the CKM matrix. The radiative corrections become crucial if one wants a precise value of $V_{us}$. The existing calculations were performed in the late 60’s [@B; @G] and are in disagreement. The calculation in [@G] turns out to be ultraviolet cutoff sensitive. The necessity of precise knowledge of $V_{us}$ and the contradiction between the existing results constitute the motivation of our paper.
We remove the ultraviolet cutoff dependence by using A.Sirlin’s prescription; we set it equal to the $W$ mass. We establish the whole character of small lepton mass dependence based on the renormalization group approach. In this way we can provide a simple explanation of Kinoshita–Lee–Nauenberg cancellation | ---
abstract: |
We consider the lowest order radiative corrections for the decay $K^{\pm}\to \pi^0 e^{\pm} \nu$, usually referred as $K_{e3}^{\pm}$ decay. This decay is the best way to extract the value of the $V_{us}$ element of the CKM matrix. The radiative corrections become crucial if one wants a precise value of $V_{us}$. The existing calculations were performed in the late 60’s [@B; @G] and are in disagreement. The calculation in [@G] turns out to be ultraviolet cutoff sensitive. The necessity of precise knowledge of $V_{us}$ and the contradiction between the existing results constitute the motivation of our paper.
We remove the ultraviolet cutoff dependence by using A.Sirlin’s prescription; we set it equal to the $W$ mass. We establish the whole character of small lepton mass dependence based on the renormalization group approach. In this way we can provide a simple explanation of Kinoshita–Lee–Nauenberg cancellation[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'L. Marion, O. Absil[^1], S. Ertel, J.-B. Le Bouquin, J.-C. Augereau, N. Blind, D. Defrère, J. Lebreton, J. Milli'
bibliography:
- 'PIONIER\_companions\_rev.bib'
date: 'Received xxx; accepted xxx'
subtitle: 'II. 92 main sequence stars from the Exozodi survey[^2]'
title: 'Searching for faint companions with VLTI/PIONIER'
---
[The <span style="font-variant:small-caps;">Exozodi</span> survey aims to determine the occurrence rate of bright exozodiacal discs around nearby main sequence stars using infrared interferometry. Although the <span style="font-variant:small-caps;">Exozodi</span> survey targets have been carefully selected to avoid the presence of binary stars, the results of this survey can still be biased by the presence of unidentified stellar companions.]{} [Using the PIONIER data set collected within the <span style="font-variant:small-caps;">Exozodi</span> survey in 2012, we aim to search for the signature of point-like companions around the <span style="font-variant:small-caps;">Exozodi</span> target stars.]{} [We make use of both the closure phases and squared visibilities collected by PIONIER to search for companions within the $\sim$100 mas interferometric field of view. The presence of a companion is assessed by computing the goodness | ---
author:
- 'L. Marion, O. Absil[^1], S. Ertel, J.-B. Le Bouquin, J.-C. Augereau, N. Blind, D. Defrère, J. Lebreton, J. Milli'
bibliography:
- 'PIONIER\_companions\_rev.bib'
date: 'Received xxx; accepted xxx'
subtitle: 'II. 92 main sequence stars from the Exozodi survey[^2]'
title: 'Searching for faint companions with VLTI/PIONIER'
---
[The <span style="font-variant:small-caps;">Exozodi</span> survey aims to determine the occurrence rate of bright exozodiacal discs around nearby main sequence stars using infrared interferometry. Although the <span style="font-variant:small-caps;">Exozodi</span> survey targets have been carefully selected to avoid the presence of binary stars, the results of this survey can still be biased by the presence of unidentified stellar companions.]{} [Using the PIONIER data set collected within the <span style="font-variant:small-caps;">Exozodi</span> survey in 2012, we aim to search for the signature of point-like companions around the <span style="font-variant:small-caps;">Exozodi</span> target stars.]{} [We make use of both the closure phases and squared visibilities collected by PIONIER to search for companions within the $\sim$100 mas interferometric field of view. The presence of a companion is assessed by computing the goodness[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'In empirical studies of friendship networks participants are typically asked, in interviews or questionnaires, to identify some or all of their close friends, resulting in a directed network in which friendships can, and often do, run in only one direction between a pair of individuals. Here we analyze a large collection of such networks representing friendships among students at US high and junior-high schools and show that the pattern of unreciprocated friendships is far from random. In every network, without exception, we find that there exists a ranking of participants, from low to high, such that almost all unreciprocated friendships consist of a lower-ranked individual claiming friendship with a higher-ranked one. We present a maximum-likelihood method for deducing such rankings from observed network data and conjecture that the rankings produced reflect a measure of social status. We note in particular that reciprocated and unreciprocated friendships obey different statistics, suggesting | ---
abstract: 'In empirical studies of friendship networks participants are typically asked, in interviews or questionnaires, to identify some or all of their close friends, resulting in a directed network in which friendships can, and often do, run in only one direction between a pair of individuals. Here we analyze a large collection of such networks representing friendships among students at US high and junior-high schools and show that the pattern of unreciprocated friendships is far from random. In every network, without exception, we find that there exists a ranking of participants, from low to high, such that almost all unreciprocated friendships consist of a lower-ranked individual claiming friendship with a higher-ranked one. We present a maximum-likelihood method for deducing such rankings from observed network data and conjecture that the rankings produced reflect a measure of social status. We note in particular that reciprocated and unreciprocated friendships obey different statistics, suggesting[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We use a Hamiltonian interacting particle system to derive a stochastic mean field system whose McKean-Vlasov equation yields the incompressible Navier Stokes equation. Since the system is Hamiltonian, the particle relabeling symmetry implies a Kelvin Circulation Theorem along stochastic Lagrangian paths. Moreover, issues of energy dissipation are discussed and the model is connected to other approaches in the literature.'
address: 'Austrian Financial Market Authority (FMA), Otto-Wagner Platz 5, A-1090 Vienna '
author:
- Simon Hochgerner
date: 'September 2, 2018'
title: 'A Hamiltonian Mean-Field System for the Navier-Stokes Equation'
---
Introduction {#introduction .unnumbered}
============
Stochastic fluid dynamics can be discussed from different perspectives:
1. Multi-scale approach, stochastic dynamics for modelling fluid flow under uncertainties: The idea is to separate the dynamics into a slow (deterministic) and a fast (stochastic) component. The result is a stochastic system and the goal is generally to study the corresponding S(P)DE as a realistic model of fluid motion. Representatives of this approach are [@CGD17; | ---
abstract: 'We use a Hamiltonian interacting particle system to derive a stochastic mean field system whose McKean-Vlasov equation yields the incompressible Navier Stokes equation. Since the system is Hamiltonian, the particle relabeling symmetry implies a Kelvin Circulation Theorem along stochastic Lagrangian paths. Moreover, issues of energy dissipation are discussed and the model is connected to other approaches in the literature.'
address: 'Austrian Financial Market Authority (FMA), Otto-Wagner Platz 5, A-1090 Vienna '
author:
- Simon Hochgerner
date: 'September 2, 2018'
title: 'A Hamiltonian Mean-Field System for the Navier-Stokes Equation'
---
Introduction {#introduction .unnumbered}
============
Stochastic fluid dynamics can be discussed from different perspectives:
1. Multi-scale approach, stochastic dynamics for modelling fluid flow under uncertainties: The idea is to separate the dynamics into a slow (deterministic) and a fast (stochastic) component. The result is a stochastic system and the goal is generally to study the corresponding S(P)DE as a realistic model of fluid motion. Representatives of this approach are [@CGD17;[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
author:
- 'S. Anderl, V. Guillet, G. Pineau des Forêts'
- 'D. R. Flower'
bibliography:
- 'GG\_biblio.bib'
date: 'Received 4 March 2013; accepted 19 June 2013'
subtitle: 'IV. Effects of grain-grain processing on molecular line emission'
title: Shocks in dense clouds
---
[Grain-grain processing has been shown to be an indispensable ingredient of shock modelling in high density environments. For densities higher than $\sim$10${}^5$ cm${}^{-3}$, shattering becomes a self-enhanced process that imposes severe chemical and dynamical consequences on the shock characteristics. Shattering is accompanied by the vaporization of grains, which can, in addition to sputtering, directly release SiO to the gas phase. Given that SiO rotational line radiation is used as a major tracer of shocks in dense clouds, it is crucial to understand the influence of vaporization on SiO line emission.]{} [We extend our study of the impact of grain-grain processing on C-type shocks in dense clouds. Various values of the magnetic field are explored. We study the | ---
author:
- 'S. Anderl, V. Guillet, G. Pineau des Forêts'
- 'D. R. Flower'
bibliography:
- 'GG\_biblio.bib'
date: 'Received 4 March 2013; accepted 19 June 2013'
subtitle: 'IV. Effects of grain-grain processing on molecular line emission'
title: Shocks in dense clouds
---
[Grain-grain processing has been shown to be an indispensable ingredient of shock modelling in high density environments. For densities higher than $\sim$10${}^5$ cm${}^{-3}$, shattering becomes a self-enhanced process that imposes severe chemical and dynamical consequences on the shock characteristics. Shattering is accompanied by the vaporization of grains, which can, in addition to sputtering, directly release SiO to the gas phase. Given that SiO rotational line radiation is used as a major tracer of shocks in dense clouds, it is crucial to understand the influence of vaporization on SiO line emission.]{} [We extend our study of the impact of grain-grain processing on C-type shocks in dense clouds. Various values of the magnetic field are explored. We study the[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: |
We study the charmonium $p \bar{p} \to \psi(3770) \pi^0$ reaction using effective lagrangian approach where the contributions from well established $N^*$ states are considered, and all parameters are fixed in the process of $e^+e^- \to p \bar{p}\pi^0$ at center of mass energy $\sqrt{s} = 3.773$ GeV. The experimental data on the line shape of the mass distribution of the $e^+e^- \to
p\bar{p}\pi^0$ can be well reproduced. Based on the studying of $e^+e^- \to p \bar{p}\pi^0$, the total and differential cross sections of the $p \bar{p} \to \psi(3770) \pi^0$ reaction are predicted. At the same time we evaluated also the cross sections of the $p \bar{p} \to \psi(3686) \pi^0$ reaction. It is shown that the contribution of nucleon pole to this reaction is largest close to the reaction threshold. However, the interference between nucleon pole and the other nucleon resonance can still change | ---
abstract: |
We study the charmonium $p \bar{p} \to \psi(3770) \pi^0$ reaction using effective lagrangian approach where the contributions from well established $N^*$ states are considered, and all parameters are fixed in the process of $e^+e^- \to p \bar{p}\pi^0$ at center of mass energy $\sqrt{s} = 3.773$ GeV. The experimental data on the line shape of the mass distribution of the $e^+e^- \to
p\bar{p}\pi^0$ can be well reproduced. Based on the studying of $e^+e^- \to p \bar{p}\pi^0$, the total and differential cross sections of the $p \bar{p} \to \psi(3770) \pi^0$ reaction are predicted. At the same time we evaluated also the cross sections of the $p \bar{p} \to \psi(3686) \pi^0$ reaction. It is shown that the contribution of nucleon pole to this reaction is largest close to the reaction threshold. However, the interference between nucleon pole and the other nucleon resonance can still change[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We derive a particle number-conserving rate equation for the ground state and for the elementary excitations of a bosonic system which is in contact with a gas of a different species (sympathetic cooling). We use the Giradeau-Arnowitt method and the model derived by Lewenstein [*et. al.*]{} with an additional assumption: the high-excited levels thermalize much faster with the cooling agent than the other levels. Evaporation of particles, known to be important in the initial stages of the cooling process, is explicitly included.'
address: '$^1$ Max-Planck Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187, Dresden, Germany'
author:
- 'A. N. Salgueiro$^1$[^1]'
title: 'Number-conserving rate equation for sympathetic cooling of a boson gas'
---
[2]{}
Introduction
============
The development of cooling techniques has opened up the possibility of studying ultracold gases. In particular, the quantum degeneracy of bosons and fermions has been investigated. Basically there are two different processes which can be used to cool an atomic or molecular | ---
abstract: 'We derive a particle number-conserving rate equation for the ground state and for the elementary excitations of a bosonic system which is in contact with a gas of a different species (sympathetic cooling). We use the Giradeau-Arnowitt method and the model derived by Lewenstein [*et. al.*]{} with an additional assumption: the high-excited levels thermalize much faster with the cooling agent than the other levels. Evaporation of particles, known to be important in the initial stages of the cooling process, is explicitly included.'
address: '$^1$ Max-Planck Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187, Dresden, Germany'
author:
- 'A. N. Salgueiro$^1$[^1]'
title: 'Number-conserving rate equation for sympathetic cooling of a boson gas'
---
[2]{}
Introduction
============
The development of cooling techniques has opened up the possibility of studying ultracold gases. In particular, the quantum degeneracy of bosons and fermions has been investigated. Basically there are two different processes which can be used to cool an atomic or molecular[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The search for ultra-high energy downward-going and Earth-skimming cosmic neutrinos by the Surface Detector array of the Pierre Auger Observatory (PAO) is analyzed in the ADD model with $n$ extra flat spatial dimensions. We assumed that the diffuse neutrino flux $dN_\nu/dE_\nu$ is equal to $k E_\nu^{-2}$ in the energy range $10^{17}$ eV – $2.5 \times 10^{19}$ eV. Taking into account that no neutrino events where found by the PAO, we have estimated an upper bound on a value of $k$. It is shown that this bound can be stronger than the upper bound on $k$ recently obtained by the Pierre Auger Collaboration, depending on $n$ and (n+4)-dimensional gravity scale $M_D$.'
author:
- |
M.O. Astashenkov[^1]\
[Department of Physics, Lomonosov Moscow State University,]{}\
[119991 Moscow, Russian Federation]{}\
A.V. Kisselev[^2]\
[A.A. Logunov Institute for High Energy Physics, NRC “Kurchatov Institute”,]{}\
| ---
abstract: 'The search for ultra-high energy downward-going and Earth-skimming cosmic neutrinos by the Surface Detector array of the Pierre Auger Observatory (PAO) is analyzed in the ADD model with $n$ extra flat spatial dimensions. We assumed that the diffuse neutrino flux $dN_\nu/dE_\nu$ is equal to $k E_\nu^{-2}$ in the energy range $10^{17}$ eV – $2.5 \times 10^{19}$ eV. Taking into account that no neutrino events where found by the PAO, we have estimated an upper bound on a value of $k$. It is shown that this bound can be stronger than the upper bound on $k$ recently obtained by the Pierre Auger Collaboration, depending on $n$ and (n+4)-dimensional gravity scale $M_D$.'
author:
- |
M.O. Astashenkov[^1]\
[Department of Physics, Lomonosov Moscow State University,]{}\
[119991 Moscow, Russian Federation]{}\
A.V. Kisselev[^2]\
[A.A. Logunov Institute for High Energy Physics, NRC “Kurchatov Institute”,]{}\
[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'The main goal of network pruning is imposing sparsity on the neural network by increasing the number of parameters with zero value in order to reduce the architecture size and the computational speedup. In most of the previous research works, sparsity is imposed stochastically without considering any prior knowledge of the weights distribution or other internal network characteristics. Enforcing too much sparsity may induce accuracy drop due to the fact that a lot of important elements might have been eliminated. In this paper, we propose *Guided Attention for Sparsity Learning* (GASL) to achieve **(1)** model compression by having less number of elements and speedup; **(2)** prevent the accuracy drop by supervising the sparsity operation via a guided attention mechanism and **(3)** introduce a generic mechanism that can be adapted for any type of architecture; Our work is aimed at providing a framework based on an interpretable attention mechanisms for imposing | ---
abstract: 'The main goal of network pruning is imposing sparsity on the neural network by increasing the number of parameters with zero value in order to reduce the architecture size and the computational speedup. In most of the previous research works, sparsity is imposed stochastically without considering any prior knowledge of the weights distribution or other internal network characteristics. Enforcing too much sparsity may induce accuracy drop due to the fact that a lot of important elements might have been eliminated. In this paper, we propose *Guided Attention for Sparsity Learning* (GASL) to achieve **(1)** model compression by having less number of elements and speedup; **(2)** prevent the accuracy drop by supervising the sparsity operation via a guided attention mechanism and **(3)** introduce a generic mechanism that can be adapted for any type of architecture; Our work is aimed at providing a framework based on an interpretable attention mechanisms for imposing[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |
<context>[NEXA_RESTORE] ---
abstract: 'We have studied the physical properties of with neutron diffraction, inelastic neutron scattering, heat capacity, and magnetic susceptibility measurements. crystallizes in a trigonal structure, with Nd$^{3+}$ ions surrounded by cages of 7 oxygen anions. The crystal field spectrum consists of four excitations spanning the energy range 3-60 meV. The refined eigenfunctions indicate XY-spins in the $ab$ plane. The Curie-Weiss temperature of $\theta_{CW}=-23.7(1)$ K was determined from magnetic susceptibility measurements. Heat capacity measurements show a sharp peak at 550 mK and a broader feature centered near 1.5 K. Neutron diffraction measurements show that the 550 mK transition corresponds to long-range anti-ferromagnetic order implying a frustration index of $\theta_{CW}/T_N\approx43$. These results indicate that is a structurally and chemically simple model system for frustration caused by competing interactions with moments with predominate XY anisotropy.'
author:
- 'G. Sala'
- 'M. B. Stone'
- 'B. K. Rai'
- 'A. F. May'
- 'C. R. Dela Cruz'
- 'H. Suriya Arachchige'
- | ---
abstract: 'We have studied the physical properties of with neutron diffraction, inelastic neutron scattering, heat capacity, and magnetic susceptibility measurements. crystallizes in a trigonal structure, with Nd$^{3+}$ ions surrounded by cages of 7 oxygen anions. The crystal field spectrum consists of four excitations spanning the energy range 3-60 meV. The refined eigenfunctions indicate XY-spins in the $ab$ plane. The Curie-Weiss temperature of $\theta_{CW}=-23.7(1)$ K was determined from magnetic susceptibility measurements. Heat capacity measurements show a sharp peak at 550 mK and a broader feature centered near 1.5 K. Neutron diffraction measurements show that the 550 mK transition corresponds to long-range anti-ferromagnetic order implying a frustration index of $\theta_{CW}/T_N\approx43$. These results indicate that is a structurally and chemically simple model system for frustration caused by competing interactions with moments with predominate XY anisotropy.'
author:
- 'G. Sala'
- 'M. B. Stone'
- 'B. K. Rai'
- 'A. F. May'
- 'C. R. Dela Cruz'
- 'H. Suriya Arachchige'
-[memory_0][memory_1][memory_2][memory_3][memory_4][memory_5][memory_6][memory_7][memory_8][memory_9][memory_10][memory_11][memory_12][memory_13][memory_14][memory_15][memory_16][memory_17][memory_18][memory_19][memory_20][memory_21][memory_22][memory_23][memory_24][memory_25][memory_26][memory_27][memory_28][memory_29][memory_30][memory_31] |