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<context>[NEXA_RESTORE] ---
abstract: 'We study how the transient excitation probability of a two-level atom by a quantized field depends on the temporal profile of the incident pulse, in the presence of external losses, for both coherent and Fock states, and in two complementary limits: when the pulse contains only one photon (on average), and when the number of photons $N$ is large. For the latter case we derive analytical expressions for the scaling of the excitation probability with $N$ that can be easily evaluated for any pulse shape.'
author:
- 'Hemlin Swaran Rag and Julio Gea-Banacloche'
title: 'Two-level atom excitation probability for single- and $N$-photon wavepackets'
---
\#1[|\#1]{} \#1[\#1|]{} \#1[\#1]{}
Introduction and motivation
===========================
Unlike its steady-state counterpart, the transient excitation probability of a single two-level atom interacting with a quantized field can, in principle, approach unity, for times smaller than the excited-state lifetime. Such perfect or near-perfect excitation could be useful in, for instance, quantum information processing, as a | ---
abstract: 'We study how the transient excitation probability of a two-level atom by a quantized field depends on the temporal profile of the incident pulse, in the presence of external losses, for both coherent and Fock states, and in two complementary limits: when the pulse contains only one photon (on average), and when the number of photons $N$ is large. For the latter case we derive analytical expressions for the scaling of the excitation probability with $N$ that can be easily evaluated for any pulse shape.'
author:
- 'Hemlin Swaran Rag and Julio Gea-Banacloche'
title: 'Two-level atom excitation probability for single- and $N$-photon wavepackets'
---
\#1[|\#1]{} \#1[\#1|]{} \#1[\#1]{}
Introduction and motivation
===========================
Unlike its steady-state counterpart, the transient excitation probability of a single two-level atom interacting with a quantized field can, in principle, approach unity, for times smaller than the excited-state lifetime. Such perfect or near-perfect excitation could be useful in, for instance, quantum information processing, as a[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: 'Multiresolution analysis is applied to the problem of halo identification in cosmological N-body simulations. The procedure makes use of a discrete wavelet transform known as the and segmentation analysis. It has the ability to find subhalos in the dense regions of a parent halo and can discern the multiple levels of substructure expected in the hierarchical clustering scenario. As an illustration, a 500,000 particle dark matter halo is analyzed and over 600 subhalos are found. Statistical properties of the subhalo population are discussed.'
author:
- 'Michael D. Seymour and Lawrence M. Widrow'
title: Multiresolution Analysis of Substructure in Dark Matter Halos
---
Introduction
============
The hierarchical clustering hypothesis provides an attractive paradigm for the formation of structure in a universe dominated by cold dark matter. Small-scale objects form first and merge to yield systems of increasing size. This highly non-linear process has been studied extensively using N-body simulations with particular attention paid to the survival of | ---
abstract: 'Multiresolution analysis is applied to the problem of halo identification in cosmological N-body simulations. The procedure makes use of a discrete wavelet transform known as the and segmentation analysis. It has the ability to find subhalos in the dense regions of a parent halo and can discern the multiple levels of substructure expected in the hierarchical clustering scenario. As an illustration, a 500,000 particle dark matter halo is analyzed and over 600 subhalos are found. Statistical properties of the subhalo population are discussed.'
author:
- 'Michael D. Seymour and Lawrence M. Widrow'
title: Multiresolution Analysis of Substructure in Dark Matter Halos
---
Introduction
============
The hierarchical clustering hypothesis provides an attractive paradigm for the formation of structure in a universe dominated by cold dark matter. Small-scale objects form first and merge to yield systems of increasing size. This highly non-linear process has been studied extensively using N-body simulations with particular attention paid to the survival 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] ---
abstract: 'A nonlocal bipartite unitary gate can sometimes be implemented using prior entanglement and only one round of classical communication in which the two parties send messages to each other simultaneously. This cuts the classical communication time by a half compared to the usual protocols, which require back-and-forth classical communication. We introduce such a “fast” protocol that can implement a class of controlled unitaries exactly, where the controlled operators form a subset of a projective representation of a finite group, which may be Abelian or non-Abelian. The entanglement cost is only related to the size of the group and is independent of the dimension of the systems. We also introduce a second fast protocol that can implement any given controlled unitary approximately. This protocol uses the algebraic structure of right quasigroups, which are generalizations of quasigroups, the latter being equivalent to Latin squares. This second protocol could optionally use shared | ---
abstract: 'A nonlocal bipartite unitary gate can sometimes be implemented using prior entanglement and only one round of classical communication in which the two parties send messages to each other simultaneously. This cuts the classical communication time by a half compared to the usual protocols, which require back-and-forth classical communication. We introduce such a “fast” protocol that can implement a class of controlled unitaries exactly, where the controlled operators form a subset of a projective representation of a finite group, which may be Abelian or non-Abelian. The entanglement cost is only related to the size of the group and is independent of the dimension of the systems. We also introduce a second fast protocol that can implement any given controlled unitary approximately. This protocol uses the algebraic structure of right quasigroups, which are generalizations of quasigroups, the latter being equivalent to Latin squares. This second protocol could optionally use shared[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 figure eight is a remarkable solution to the Newtonian three-body problem in which the three equal masses chase each around a planar curve having the qualitative shape and symmetries of a figure eight. Here we prove that each lobe of this eight is convex.'
address:
- |
Faculty of General Studies\
Kitasato University\
Kitasato 1-15-1, Sagamihara\
Kanagawa 228-8555, Japan
- |
Mathematics Dept.\
UC Santa Cruz\
Santa Cruz, CA 95064, USA
author:
- Toshiaki Fujiwara
- Richard Montgomery
date: 'Received date / Revised version date'
title: 'Convexity in the figure eight solution to the three-body problem'
---
Introduction {#intro}
============
The figure eight is a recently discovered periodic solution to the Newtonian three-body problem in which three equal masses traverse a single closed planar curve which has the form of a figure eight (figure \[theInterval\]). See [@Moore], and [@CM]. | ---
abstract: 'The figure eight is a remarkable solution to the Newtonian three-body problem in which the three equal masses chase each around a planar curve having the qualitative shape and symmetries of a figure eight. Here we prove that each lobe of this eight is convex.'
address:
- |
Faculty of General Studies\
Kitasato University\
Kitasato 1-15-1, Sagamihara\
Kanagawa 228-8555, Japan
- |
Mathematics Dept.\
UC Santa Cruz\
Santa Cruz, CA 95064, USA
author:
- Toshiaki Fujiwara
- Richard Montgomery
date: 'Received date / Revised version date'
title: 'Convexity in the figure eight solution to the three-body problem'
---
Introduction {#intro}
============
The figure eight is a recently discovered periodic solution to the Newtonian three-body problem in which three equal masses traverse a single closed planar curve which has the form of a figure eight (figure \[theInterval\]). See [@Moore], and [@CM].[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:
- 'T. Nattermann'
bibliography:
- 'Helimagnet\_pinning.bib'
title: 'Domain Walls in Helical Magnets: Elasticity and Pinning'
---
Introduction
============
Pinning plays a key role in condensed matter systems: it restores the state of zero resistance in type-II superconductors by anchoring flux lines, it hardens steel by blocking the motion of dislocations [@Haasen77], but, in contrast, prevents charge density waves to become ideal conductors [@Frohlich54]. In ferroelectrics and ferromagnets pinning of domain walls influences their coercivity and switching behavior [@Hubert74; @Kleemann07], strongly relevant for potential applications as storage media [@Parkin+08]. In all cases pinning and hysteresis result from the competition of the impurity potential, which favors deformations of the condensed structure, and the rigidity of the latter, which penalizes them. The appearance of a non-zero coercive force requires the emergence of [ multistability]{} of the resulting effective potential landscape [@Brazovskii+04].
Recently a new type of magnetic DWs - different from Bloch or Néel walls - has been predicted for helical | ---
author:
- 'T. Nattermann'
bibliography:
- 'Helimagnet\_pinning.bib'
title: 'Domain Walls in Helical Magnets: Elasticity and Pinning'
---
Introduction
============
Pinning plays a key role in condensed matter systems: it restores the state of zero resistance in type-II superconductors by anchoring flux lines, it hardens steel by blocking the motion of dislocations [@Haasen77], but, in contrast, prevents charge density waves to become ideal conductors [@Frohlich54]. In ferroelectrics and ferromagnets pinning of domain walls influences their coercivity and switching behavior [@Hubert74; @Kleemann07], strongly relevant for potential applications as storage media [@Parkin+08]. In all cases pinning and hysteresis result from the competition of the impurity potential, which favors deformations of the condensed structure, and the rigidity of the latter, which penalizes them. The appearance of a non-zero coercive force requires the emergence of [ multistability]{} of the resulting effective potential landscape [@Brazovskii+04].
Recently a new type of magnetic DWs - different from Bloch or Néel walls - has been predicted for helical[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: 'Introduction of twist’ or relative rotation between two atomically thin van der Waals (vdW) membranes gives rise to periodic Moiré potential, leading to a substantial altercation of the band structure of the planar assembly. While most of the recent experiments primarily focus on the electronic-band hybridization by probing in-plane transport properties, here we report out-of-plane thermoelectric measurements across the van der Waals gap in twisted bilayer graphene (tBLG), which exhibits an interplay of twist-dependent inter-layer electronic and phononic hybridization. We show that at large twist angle, the thermopower is entirely driven by a novel phonon drag effect at sub-nanometer scale, while the electronic component of the thermopower is recovered only when the mis-orientation between the layers is reduced to $\lesssim 2^{\circ}$. Our experiment shows that cross-plane thermoelectricity at low angle is exceptionally sensitive to nature of band dispersion and may provide fundamental insights to the coherence of electronic states | ---
abstract: 'Introduction of twist’ or relative rotation between two atomically thin van der Waals (vdW) membranes gives rise to periodic Moiré potential, leading to a substantial altercation of the band structure of the planar assembly. While most of the recent experiments primarily focus on the electronic-band hybridization by probing in-plane transport properties, here we report out-of-plane thermoelectric measurements across the van der Waals gap in twisted bilayer graphene (tBLG), which exhibits an interplay of twist-dependent inter-layer electronic and phononic hybridization. We show that at large twist angle, the thermopower is entirely driven by a novel phonon drag effect at sub-nanometer scale, while the electronic component of the thermopower is recovered only when the mis-orientation between the layers is reduced to $\lesssim 2^{\circ}$. Our experiment shows that cross-plane thermoelectricity at low angle is exceptionally sensitive to nature of band dispersion and may provide fundamental insights to the coherence of electronic states[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 thesis describes a study to perform change detection on Very High Resolution satellite images using image fusion based on 2D Discrete Wavelet Transform and Fuzzy C-Means clustering algorithm. Multiple other methods are also quantitatively and qualitatively compared in this study.'
author:
- Rongcui Dong
- Haoxiang Wang
bibliography:
- 'Citations.bib'
title: 'A Novel VHR Image Change Detection Algorithm Based on Image Fusion and Fuzzy C-Means Clustering'
---
Introduction {#sec:introduction}
============
Change detection, an automated process to detect difference between two temporally separated image, have important applications in many fields. When applied to remote sensing, such as images obtained from satellites, change detection can be employed research global or local ecology [@kerr2003space] [@coppin1996digital], urban and land cover changes [@yang2003urban] [@weng2001remote], disaster detection and assessment [@stramondo2006satellite] [@tralli2005satellite], *etc.*. As current satellite imaging technology enters sub-meter definition, the amount of data needed to processed grows rapidly, and older algorithms suitable for lower resolution may not work against these much more detailed | ---
abstract: 'This thesis describes a study to perform change detection on Very High Resolution satellite images using image fusion based on 2D Discrete Wavelet Transform and Fuzzy C-Means clustering algorithm. Multiple other methods are also quantitatively and qualitatively compared in this study.'
author:
- Rongcui Dong
- Haoxiang Wang
bibliography:
- 'Citations.bib'
title: 'A Novel VHR Image Change Detection Algorithm Based on Image Fusion and Fuzzy C-Means Clustering'
---
Introduction {#sec:introduction}
============
Change detection, an automated process to detect difference between two temporally separated image, have important applications in many fields. When applied to remote sensing, such as images obtained from satellites, change detection can be employed research global or local ecology [@kerr2003space] [@coppin1996digital], urban and land cover changes [@yang2003urban] [@weng2001remote], disaster detection and assessment [@stramondo2006satellite] [@tralli2005satellite], *etc.*. As current satellite imaging technology enters sub-meter definition, the amount of data needed to processed grows rapidly, and older algorithms suitable for lower resolution may not work against these much more detailed[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 derived representation scheme $ \DRep_n(A) $ parametrizing the $n$-dimensional representations of an associative algebra $A$ over a field of characteristic zero. We show that the homology of $ \DRep_n(A) $ is isomorphic to the Chevalley-Eilenberg homology of the current Lie coalgebra $\, \gl_n^*(\bar{C}) $ defined over a Koszul dual coalgebra of $A$. This gives a conceptual explanation to main results of [@BKR] and [@BR], relating them (via Koszul duality) to classical theorems on (co)homology of current Lie algebras $ \gl_n(A) $. We extend the above isomorphism to representation schemes of Lie algebras: for a finite-dimensional reductive Lie algebra $\g$, we define the derived affine scheme $ \DRep_{\g}(\aA) $ parametrizing the representations (in $\g$) of a Lie algebra $\mathfrak{a}$; we show that the homology of $ \DRep_{\g}(\aA) $ is isomorphic to the Chevalley-Eilenberg homology of the Lie coalgebra $ \g^*(\bar{C}) $, where $C$ | ---
abstract: |
We study the derived representation scheme $ \DRep_n(A) $ parametrizing the $n$-dimensional representations of an associative algebra $A$ over a field of characteristic zero. We show that the homology of $ \DRep_n(A) $ is isomorphic to the Chevalley-Eilenberg homology of the current Lie coalgebra $\, \gl_n^*(\bar{C}) $ defined over a Koszul dual coalgebra of $A$. This gives a conceptual explanation to main results of [@BKR] and [@BR], relating them (via Koszul duality) to classical theorems on (co)homology of current Lie algebras $ \gl_n(A) $. We extend the above isomorphism to representation schemes of Lie algebras: for a finite-dimensional reductive Lie algebra $\g$, we define the derived affine scheme $ \DRep_{\g}(\aA) $ parametrizing the representations (in $\g$) of a Lie algebra $\mathfrak{a}$; we show that the homology of $ \DRep_{\g}(\aA) $ is isomorphic to the Chevalley-Eilenberg homology of the Lie coalgebra $ \g^*(\bar{C}) $, where $C$[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 detection of spectral variability of the $\gamma$-ray blazar Mrk 421 at TeV energies is reported. Observations with the Whipple Observatory 10 m $\gamma$-ray telescope taken in 2000/2001 revealed exceptionally strong and long-lasting flaring activity. Flaring levels of 0.4 to 13 times that of the Crab Nebula flux provided sufficient statistics for a detailed study of the energy spectrum between 380 GeV and 8.2 TeV as a function of flux level. These spectra are well described by a power law with an exponential cutoff: $\rm \: \: \: {{dN}\over{dE}} \propto \: E^{-\alpha}\times e^{-E/E_{0}} \:
\: m^{-2} \: s^{-1} \: TeV^{-1} $.
There is no evidence for variation in the cutoff energy with flux, and all spectra are consistent with an average value for the cutoff energy of 4.3 TeV. The spectral index varies between $\rm 1.89\pm 0.04_{stat} \pm 0.05_{syst} $ in a | ---
abstract: |
The detection of spectral variability of the $\gamma$-ray blazar Mrk 421 at TeV energies is reported. Observations with the Whipple Observatory 10 m $\gamma$-ray telescope taken in 2000/2001 revealed exceptionally strong and long-lasting flaring activity. Flaring levels of 0.4 to 13 times that of the Crab Nebula flux provided sufficient statistics for a detailed study of the energy spectrum between 380 GeV and 8.2 TeV as a function of flux level. These spectra are well described by a power law with an exponential cutoff: $\rm \: \: \: {{dN}\over{dE}} \propto \: E^{-\alpha}\times e^{-E/E_{0}} \:
\: m^{-2} \: s^{-1} \: TeV^{-1} $.
There is no evidence for variation in the cutoff energy with flux, and all spectra are consistent with an average value for the cutoff energy of 4.3 TeV. The spectral index varies between $\rm 1.89\pm 0.04_{stat} \pm 0.05_{syst} $ in a[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] Understanding the character of edge excitations is crucial to the theory of the transport properties of two dimensional systems in the presence of a strong perpendicular magnetic field, such as quantum Hall bars, quantum wires and dots [@general]. An effective theory of edge excitations was first derived by Wen [@Wen]. He showed that a “sharp” edge (see below) is a realization of the one-dimensional chiral Luttinger liquid (CLL) model, where the electronic spectral function exhibits, in general, a non trivial behavior, leading to a density of states that vanishes, at low energy, as a power law. This theory has been well confirmed by detailed microscopic calculations [@Palacios] and by recent experiments [@Webb; @Chang]. The effect of the long range of the Coulomb interaction, which was initially ignored, has been recently included by Zülicke and MacDonald [@Zulicke].
All the above papers assumed the validity of the so-called “sharp edge” model, in which | Understanding the character of edge excitations is crucial to the theory of the transport properties of two dimensional systems in the presence of a strong perpendicular magnetic field, such as quantum Hall bars, quantum wires and dots [@general]. An effective theory of edge excitations was first derived by Wen [@Wen]. He showed that a “sharp” edge (see below) is a realization of the one-dimensional chiral Luttinger liquid (CLL) model, where the electronic spectral function exhibits, in general, a non trivial behavior, leading to a density of states that vanishes, at low energy, as a power law. This theory has been well confirmed by detailed microscopic calculations [@Palacios] and by recent experiments [@Webb; @Chang]. The effect of the long range of the Coulomb interaction, which was initially ignored, has been recently included by Zülicke and MacDonald [@Zulicke].
All the above papers assumed the validity of the so-called “sharp edge” model, in 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] ---
author:
- 'D. Shulyak'
- 'A. Reiners'
- 'E. Nagel'
- 'L. Tal-Or'
- 'J.A. Caballero'
- 'M. Zechmeister'
- 'V.J.S. Béjar'
- 'M. Cortés-Contreras'
- 'E.L. Martin'
- 'A. Kaminski'
- 'I. Ribas'
- 'A. Quirrenbach'
- 'P.J. Amado'
- 'G. Anglada-Escudé'
- 'F.F. Bauer'
- 'S. Dreizler'
- 'E.W. Guenther'
- 'T. Henning'
- 'S.V. Jeffers'
- 'M. Kürster'
- 'M. Lafarga'
- 'J.C. Morales'
- 'S. Pedraz'
bibliography:
- 'biblio.bib'
date: 'Received ; accepted'
title: Magnetic fields in M dwarfs from the CARMENES survey
---
[M dwarfs are known to generate the strongest magnetic fields among main-sequence stars with convective envelopes, but the link between the magnetic fields and underlying dynamo mechanisms, rotation, and activity still lacks a consistent picture.]{} [In this work we measure magnetic fields from the high-resolution near-infrared spectra taken with the CARMENES radial-velocity planet survey in a sample of $29$ active M dwarfs and compare our results against stellar parameters.]{} [We use the state-of-the-art radiative transfer code to measure total magnetic flux densities from the Zeeman broadening of spectral lines and filling factors.]{} [We detect strong kG magnetic fields in all our targets. In $16$ stars the magnetic fields were measured for the first time. | ---
author:
- 'D. Shulyak'
- 'A. Reiners'
- 'E. Nagel'
- 'L. Tal-Or'
- 'J.A. Caballero'
- 'M. Zechmeister'
- 'V.J.S. Béjar'
- 'M. Cortés-Contreras'
- 'E.L. Martin'
- 'A. Kaminski'
- 'I. Ribas'
- 'A. Quirrenbach'
- 'P.J. Amado'
- 'G. Anglada-Escudé'
- 'F.F. Bauer'
- 'S. Dreizler'
- 'E.W. Guenther'
- 'T. Henning'
- 'S.V. Jeffers'
- 'M. Kürster'
- 'M. Lafarga'
- 'J.C. Morales'
- 'S. Pedraz'
bibliography:
- 'biblio.bib'
date: 'Received ; accepted'
title: Magnetic fields in M dwarfs from the CARMENES survey
---
[M dwarfs are known to generate the strongest magnetic fields among main-sequence stars with convective envelopes, but the link between the magnetic fields and underlying dynamo mechanisms, rotation, and activity still lacks a consistent picture.]{} [In this work we measure magnetic fields from the high-resolution near-infrared spectra taken with the CARMENES radial-velocity planet survey in a sample of $29$ active M dwarfs and compare our results against stellar parameters.]{} [We use the state-of-the-art radiative transfer code to measure total magnetic flux densities from the Zeeman broadening of spectral lines and filling factors.]{} [We detect strong kG magnetic fields in all our targets. In $16$ stars the magnetic fields were measured for the first time.[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: |
Observations of the gamma-ray sky reveal the most powerful sources and the most violent events in the Universe. While at lower wavebands the observed emission is generally dominated by thermal processes, the gamma-ray sky provides us with a view on the non-thermal Universe. Here particles are accelerated to extreme relativistic energies by mechanisms which are still poorly understood, and nuclear reactions are synthesizing the basic constituents of our world. Cosmic accelerators and cosmic explosions are the major science themes that are addressed in the gamma-ray regime.
With the INTEGRAL observatory, ESA has provided a unique tool to the astronomical community revealing hundreds of sources, new classes of objects, extraordinary views of antimatter annihilation in our Galaxy, and fingerprints of recent nucleosynthesis processes. While INTEGRAL provides the global overview over the soft gamma-ray sky, there is a growing need to perform deeper, more | ---
abstract: |
Observations of the gamma-ray sky reveal the most powerful sources and the most violent events in the Universe. While at lower wavebands the observed emission is generally dominated by thermal processes, the gamma-ray sky provides us with a view on the non-thermal Universe. Here particles are accelerated to extreme relativistic energies by mechanisms which are still poorly understood, and nuclear reactions are synthesizing the basic constituents of our world. Cosmic accelerators and cosmic explosions are the major science themes that are addressed in the gamma-ray regime.
With the INTEGRAL observatory, ESA has provided a unique tool to the astronomical community revealing hundreds of sources, new classes of objects, extraordinary views of antimatter annihilation in our Galaxy, and fingerprints of recent nucleosynthesis processes. While INTEGRAL provides the global overview over the soft gamma-ray sky, there is a growing need to perform deeper, more[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] ---
bibliography:
- 'grassroots.bib'
---
[**A model of grassroots changes in linguistic systems** ]{}\
Janet B. Pierrehumbert$^{1,2,3\ast}$, Forrest Stonedahl$^{4}$, Robert Daland$^{5}$\
**[1]{} Linguistics Department, Northwestern University, Evanston, IL, USA\
**[2]{} Northwestern Institute on Complex Systems, Evanston, IL USA\
**[3]{} New Zealand Institute of Language, Brain, and Behaviour, Univ. of Canterbury, Christchurch, NZ\
**[4]{} Computer Science, Augustana College, Rock Island, IL, USA\
**[5]{} Linguistics Department, Univ. California Los Angeles, Los Angeles, CA, USA\
$\ast$ E-mail: jbp@northwestern.edu**********
Abstract {#abstract .unnumbered}
========
Linguistic norms emerge in human communities because people imitate each other. A shared linguistic system provides people with the benefits of shared knowledge and coordinated planning. Once norms are in place, why would they ever change? This question, echoing broad questions in the theory of social dynamics, has particular force in relation to language. By definition, an innovator is in the minority when the innovation first occurs. In some areas of social dynamics, important minorities can strongly influence the majority through their power, fame, or | ---
bibliography:
- 'grassroots.bib'
---
[**A model of grassroots changes in linguistic systems** ]{}\
Janet B. Pierrehumbert$^{1,2,3\ast}$, Forrest Stonedahl$^{4}$, Robert Daland$^{5}$\
**[1]{} Linguistics Department, Northwestern University, Evanston, IL, USA\
**[2]{} Northwestern Institute on Complex Systems, Evanston, IL USA\
**[3]{} New Zealand Institute of Language, Brain, and Behaviour, Univ. of Canterbury, Christchurch, NZ\
**[4]{} Computer Science, Augustana College, Rock Island, IL, USA\
**[5]{} Linguistics Department, Univ. California Los Angeles, Los Angeles, CA, USA\
$\ast$ E-mail: jbp@northwestern.edu**********
Abstract {#abstract .unnumbered}
========
Linguistic norms emerge in human communities because people imitate each other. A shared linguistic system provides people with the benefits of shared knowledge and coordinated planning. Once norms are in place, why would they ever change? This question, echoing broad questions in the theory of social dynamics, has particular force in relation to language. By definition, an innovator is in the minority when the innovation first occurs. In some areas of social dynamics, important minorities can strongly influence the majority through their power, fame, or[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: 'Implementation details and test cases of a newly developed hydrodynamic code, , are presented. The numerical scheme exploits the adaptive mesh refinement technique coupled to modern high-resolution schemes which are suitable for relativistic and non-relativistic flows. Various physical processes are incorporated using the operator splitting approach, and include self-gravity, nuclear burning, physical viscosity, implicit and explicit schemes for conductive transport, simplified photoionization, and radiative losses from an optically thin plasma. Several aspects related to the accuracy and stability of the scheme are discussed in the context of hydrodynamic and astrophysical flows.'
address:
- ' Nicolaus Copernicus Astronomical Center, Bartycka 18, 00716 Warsaw, Poland '
- ' Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Stra[ß]{}e 1, Postfach 1317, 85741 Garching b. München, Germany '
author:
- 'T. Plewa'
- 'E. Müller'
title: 'AMRA: An Adaptive Mesh Refinement Hydrodynamic Code for Astrophysics'
---
Numerical methods ,Adaptive mesh refinement ,Numerical hydrodynamics ,Numerical astrophysics ,Parallel computing
Introduction
============
Many problems in the numerical simulation of hydrodynamic flows require the use | ---
abstract: 'Implementation details and test cases of a newly developed hydrodynamic code, , are presented. The numerical scheme exploits the adaptive mesh refinement technique coupled to modern high-resolution schemes which are suitable for relativistic and non-relativistic flows. Various physical processes are incorporated using the operator splitting approach, and include self-gravity, nuclear burning, physical viscosity, implicit and explicit schemes for conductive transport, simplified photoionization, and radiative losses from an optically thin plasma. Several aspects related to the accuracy and stability of the scheme are discussed in the context of hydrodynamic and astrophysical flows.'
address:
- ' Nicolaus Copernicus Astronomical Center, Bartycka 18, 00716 Warsaw, Poland '
- ' Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Stra[ß]{}e 1, Postfach 1317, 85741 Garching b. München, Germany '
author:
- 'T. Plewa'
- 'E. Müller'
title: 'AMRA: An Adaptive Mesh Refinement Hydrodynamic Code for Astrophysics'
---
Numerical methods ,Adaptive mesh refinement ,Numerical hydrodynamics ,Numerical astrophysics ,Parallel computing
Introduction
============
Many problems in the numerical simulation of hydrodynamic flows require the use[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 goal of this paper is to find the quantization conditions of Bohr-Sommerfeld of several quantum Hamiltonians ${ Q_1(h), ...,Q_k(h)}$ acting on $ { {{{\mathbb R}}}^n}$, depending on a small parameter h, and which commute to each other. That is we determine, around a regular energy level $E_0\in {{\mathbb R}}^k$ the principal term of the asymptotics in $h$ of eigenvalues $\lambda_j(h),\,
1\leq j\leq k$ of the operators $Q_j(h)$ that are associated to a common eigenfunction. Thus we localize the so-called joint spectrum of the operators.
Under the assumption that the classical Hamiltonian flow of the joint principal symbol $q_0$ is [*periodic with constant periods on the one energy level*]{} $q_0^{-1}(E_0)$, we prove that the part of the joint spectrum lying in a small neighbourhood of $E_0$ is localized near a lattice of size $h$ determined in terms of | ---
abstract: |
The goal of this paper is to find the quantization conditions of Bohr-Sommerfeld of several quantum Hamiltonians ${ Q_1(h), ...,Q_k(h)}$ acting on $ { {{{\mathbb R}}}^n}$, depending on a small parameter h, and which commute to each other. That is we determine, around a regular energy level $E_0\in {{\mathbb R}}^k$ the principal term of the asymptotics in $h$ of eigenvalues $\lambda_j(h),\,
1\leq j\leq k$ of the operators $Q_j(h)$ that are associated to a common eigenfunction. Thus we localize the so-called joint spectrum of the operators.
Under the assumption that the classical Hamiltonian flow of the joint principal symbol $q_0$ is [*periodic with constant periods on the one energy level*]{} $q_0^{-1}(E_0)$, we prove that the part of the joint spectrum lying in a small neighbourhood of $E_0$ is localized near a lattice of size $h$ determined in terms 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] ---
abstract: |
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in $\C^n$ are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation.
Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in $\C^n$, for $n\geq2$.
address:
- 'Department of Mathematics and Statistics, | ---
abstract: |
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in $\C^n$ are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation.
Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in $\C^n$, for $n\geq2$.
address:
- 'Department of Mathematics and Statistics,[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 propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the radius $a$ of inclusions is small. A new approach is suggested to derive the complete asymptotic expansions of the dispersion relations in two and three-dimensional cases as $a \to 0$ and evaluate explicitly several first terms. Our method is based on the reduction of the original singularly perturbed (by inclusions) problem to the regular one. The Neumann, Dirichlet and transmission boundary conditions are considered. The effective wave speed is obtained as a function of the wave frequency, the filling fraction of the inclusions, and the physical properties of the constituents of the mixture. Dependence of asymptotic formulas obtained in the paper on geometric and material parameters is illustrated by graphs.'
author:
- 'Yuri A. | ---
abstract: 'We consider the propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the radius $a$ of inclusions is small. A new approach is suggested to derive the complete asymptotic expansions of the dispersion relations in two and three-dimensional cases as $a \to 0$ and evaluate explicitly several first terms. Our method is based on the reduction of the original singularly perturbed (by inclusions) problem to the regular one. The Neumann, Dirichlet and transmission boundary conditions are considered. The effective wave speed is obtained as a function of the wave frequency, the filling fraction of the inclusions, and the physical properties of the constituents of the mixture. Dependence of asymptotic formulas obtained in the paper on geometric and material parameters is illustrated by graphs.'
author:
- 'Yuri A.[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 fixed point subalgebra of a certain class of lattice vertex operator algebras by an automorphism of order $3$, which is a lift of a fixed-point-free isometry of the underlying lattice. We classify the irreducible modules for the subalgebra. Moreover, the rationality and the $C_2$-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice.'
author:
- |
Kenichiro Tanabe[^1]\
Department of Mathematics, Hokkaido University,\
Sapporo, Hokkaido, 060-0810, Japan\
ktanabe@math.sci.hokudai.ac.jp\
\
Hiromichi Yamada[^2]\
Department of Mathematics,\
Hitotsubashi University,\
Kunitachi, Tokyo 186-8601, Japan\
yamada@math.hit-u.ac.jp
date: 'September 30, 2006'
title: Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
---
Introduction
============
Let $V$ be a vertex operator algebra. For an automorphism | ---
abstract: 'We study the fixed point subalgebra of a certain class of lattice vertex operator algebras by an automorphism of order $3$, which is a lift of a fixed-point-free isometry of the underlying lattice. We classify the irreducible modules for the subalgebra. Moreover, the rationality and the $C_2$-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice.'
author:
- |
Kenichiro Tanabe[^1]\
Department of Mathematics, Hokkaido University,\
Sapporo, Hokkaido, 060-0810, Japan\
ktanabe@math.sci.hokudai.ac.jp\
\
Hiromichi Yamada[^2]\
Department of Mathematics,\
Hitotsubashi University,\
Kunitachi, Tokyo 186-8601, Japan\
yamada@math.hit-u.ac.jp
date: 'September 30, 2006'
title: Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
---
Introduction
============
Let $V$ be a vertex operator algebra. For an automorphism[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 methods currently used to measure collective flow in nucleus–nucleus collisions assume that the only azimuthal correlations between particles are those arising from their correlation with the reaction plane. However, quantum HBT correlations also produce short range azimuthal correlations between identical particles. This creates apparent azimuthal anisotropies of a few percent when pions are used to estimate the direction of the reaction plane. These should not be misinterpreted as originating from collective flow. In particular, we show that the peculiar behaviour of the directed and elliptic flow of pions observed by NA49 at low $p_T$ can be entirely understood in terms of HBT correlations. Such correlations also produce apparent higher Fourier harmonics (of order $n\ge 3$) of the azimuthal distribution, with magnitudes of the order of 1%, which should be looked for in the data.'
address:
- |
$^1$ Service de Physique Théorique, CE-Saclay\
F-91191 Gif-sur-Yvette | ---
abstract: 'The methods currently used to measure collective flow in nucleus–nucleus collisions assume that the only azimuthal correlations between particles are those arising from their correlation with the reaction plane. However, quantum HBT correlations also produce short range azimuthal correlations between identical particles. This creates apparent azimuthal anisotropies of a few percent when pions are used to estimate the direction of the reaction plane. These should not be misinterpreted as originating from collective flow. In particular, we show that the peculiar behaviour of the directed and elliptic flow of pions observed by NA49 at low $p_T$ can be entirely understood in terms of HBT correlations. Such correlations also produce apparent higher Fourier harmonics (of order $n\ge 3$) of the azimuthal distribution, with magnitudes of the order of 1%, which should be looked for in the data.'
address:
- |
$^1$ Service de Physique Théorique, CE-Saclay\
F-91191 Gif-sur-Yvette[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: 'Yu and Oh \[1\] have given a state-independent proof of the Kochen-Specker theorem in three dimensions using only 13 rays. The proof consists of showing that a non-contextual hidden variable theory necessarily leads to an inequality that is violated by quantum mechanics. We give a similar proof making use of 21 rays that constitute a SIC and four Mutually Unbiased Bases.'
author:
- Ingemar Bengtsson
- Kate Blanchfield
- Adán Cabello
title: 'A Kochen-Specker inequality from a SIC'
---
[*Introduction.—*]{}The Kochen-Specker theorem states that a certain kind of hidden variable theory cannot be consistent with quantum mechanics. The idea is to assign truth values (1 for true, 0 for false) to a finite set of measurements represented by projectors onto rays in Hilbert space. These assignments must obey the Kochen-Specker rules, namely no two orthogonal projectors can both be true, and one member of each complete orthonormal basis must be true. Since two orthogonal projectors commute | ---
abstract: 'Yu and Oh \[1\] have given a state-independent proof of the Kochen-Specker theorem in three dimensions using only 13 rays. The proof consists of showing that a non-contextual hidden variable theory necessarily leads to an inequality that is violated by quantum mechanics. We give a similar proof making use of 21 rays that constitute a SIC and four Mutually Unbiased Bases.'
author:
- Ingemar Bengtsson
- Kate Blanchfield
- Adán Cabello
title: 'A Kochen-Specker inequality from a SIC'
---
[*Introduction.—*]{}The Kochen-Specker theorem states that a certain kind of hidden variable theory cannot be consistent with quantum mechanics. The idea is to assign truth values (1 for true, 0 for false) to a finite set of measurements represented by projectors onto rays in Hilbert space. These assignments must obey the Kochen-Specker rules, namely no two orthogonal projectors can both be true, and one member of each complete orthonormal basis must be true. Since two orthogonal projectors commute[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 spherical, non-rotating, isotropic models of early-type galaxies with stellar and dark-matter components both described by deprojected Sersic density profiles, and prove that they represent physically admissible stable systems. Using empirical correlations and recent results of N-body simulations, all the free parameters of the models are expressed as functions of one single quantity: the total (B-band) luminosity of the stellar component.
We analyze how to perform discrete N-body realizations of Sersic models. To this end, an optimal smoothing length is derived, defined as the softening parameter minimizing the error on the gravitational potential for the deprojected Sersic model. It is shown to depend on the Sersic index $n$ and on the number of particles of the N-body realization.
A software code allowing the computations of the relevant quantities of one- and two-component Sersic models is provided. Both the | ---
abstract: |
We present spherical, non-rotating, isotropic models of early-type galaxies with stellar and dark-matter components both described by deprojected Sersic density profiles, and prove that they represent physically admissible stable systems. Using empirical correlations and recent results of N-body simulations, all the free parameters of the models are expressed as functions of one single quantity: the total (B-band) luminosity of the stellar component.
We analyze how to perform discrete N-body realizations of Sersic models. To this end, an optimal smoothing length is derived, defined as the softening parameter minimizing the error on the gravitational potential for the deprojected Sersic model. It is shown to depend on the Sersic index $n$ and on the number of particles of the N-body realization.
A software code allowing the computations of the relevant quantities of one- and two-component Sersic models is provided. Both 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:
- 'Baojie Feng$^\star$'
- 'Botao Fu$^\star$'
- Shusuke Kasamatsu
- Suguru Ito
- Peng Cheng
- 'Cheng-Cheng Liu'
- Ya Feng
- Shilong Wu
- 'Sanjoy K. Mahatha'
- Polina Sheverdyaeva
- Paolo Moras
- Masashi Arita
- Osamu Sugino
- 'Tai-Chang Chiang'
- Kenya Shimada
- Koji Miyamoto
- Taichi Okuda
- Kehui Wu
- Lan Chen
- Yugui Yao
- Iwao Matsuda
title: 'Experimental realization of two-dimensional Dirac nodal line fermions in monolayer Cu$_2$Si'
---
Abstract
========
[**Topological nodal line semimetals, a novel quantum state of materials, possess topologically nontrivial valence and conduction bands that touch at a line near the Fermi level. The exotic band structure can lead to various novel properties, such as long-range Coulomb interaction and flat Landau levels. Recently, topological nodal lines have been observed in several bulk materials, such as PtSn$_4$, ZrSiS, TlTaSe$_2$ and PbTaSe$_2$. However, in two-dimensional materials, experimental research on nodal line fermions is still lacking. Here, we report the discovery of two-dimensional Dirac nodal line fermions in monolayer Cu$_2$Si based on combined theoretical calculations and | ---
author:
- 'Baojie Feng$^\star$'
- 'Botao Fu$^\star$'
- Shusuke Kasamatsu
- Suguru Ito
- Peng Cheng
- 'Cheng-Cheng Liu'
- Ya Feng
- Shilong Wu
- 'Sanjoy K. Mahatha'
- Polina Sheverdyaeva
- Paolo Moras
- Masashi Arita
- Osamu Sugino
- 'Tai-Chang Chiang'
- Kenya Shimada
- Koji Miyamoto
- Taichi Okuda
- Kehui Wu
- Lan Chen
- Yugui Yao
- Iwao Matsuda
title: 'Experimental realization of two-dimensional Dirac nodal line fermions in monolayer Cu$_2$Si'
---
Abstract
========
[**Topological nodal line semimetals, a novel quantum state of materials, possess topologically nontrivial valence and conduction bands that touch at a line near the Fermi level. The exotic band structure can lead to various novel properties, such as long-range Coulomb interaction and flat Landau levels. Recently, topological nodal lines have been observed in several bulk materials, such as PtSn$_4$, ZrSiS, TlTaSe$_2$ and PbTaSe$_2$. However, in two-dimensional materials, experimental research on nodal line fermions is still lacking. Here, we report the discovery of two-dimensional Dirac nodal line fermions in monolayer Cu$_2$Si based on combined theoretical calculations 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: 'Given side information that an Ising tree-structured graphical model is homogeneous and has no external field, we derive the exact asymptotics of learning its structure from independently drawn samples. Our results, which leverage the use of probabilistic tools from the theory of strong large deviations, refine the large deviation (error exponents) results of Tan, Anandkumar, Tong, and Willsky \[IEEE Trans. on Inform. Th., 57(3):1714–1735, 2011\] and strictly improve those of Bresler and Karzand \[Ann. Statist., 2020\]. In addition, we extend our results to the scenario in which the samples are observed in random noise. In this case, we show that they strictly improve on the recent results of Nikolakakis, Kalogerias, and Sarwate \[Proc. AISTATS, 1771–1782, 2019\]. Our theoretical results demonstrate keen agreement with experimental results for sample sizes as small as that in the hundreds.'
author:
- |
Anshoo Tandon, , Vincent Y. F. Tan, ,\
and Shiyao Zhu [^1] [^2] [^3]
title: 'Exact | ---
abstract: 'Given side information that an Ising tree-structured graphical model is homogeneous and has no external field, we derive the exact asymptotics of learning its structure from independently drawn samples. Our results, which leverage the use of probabilistic tools from the theory of strong large deviations, refine the large deviation (error exponents) results of Tan, Anandkumar, Tong, and Willsky \[IEEE Trans. on Inform. Th., 57(3):1714–1735, 2011\] and strictly improve those of Bresler and Karzand \[Ann. Statist., 2020\]. In addition, we extend our results to the scenario in which the samples are observed in random noise. In this case, we show that they strictly improve on the recent results of Nikolakakis, Kalogerias, and Sarwate \[Proc. AISTATS, 1771–1782, 2019\]. Our theoretical results demonstrate keen agreement with experimental results for sample sizes as small as that in the hundreds.'
author:
- |
Anshoo Tandon, , Vincent Y. F. Tan, ,\
and Shiyao Zhu [^1] [^2] [^3]
title: '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 this article we specialize a construction of a reflection positive Hilbert space due to Dimock and Jaffe–Ritter to the sphere ${{\mathbb S}}^n$. We determine the resulting Osterwalder–Schrader Hilbert space, a construction that can be viewed as the step from euclidean to relativistic quantum field theory. We show that this process gives rise to an irreducible unitary spherical representation of the orthochronous Lorentz group $G^c = {\mathop{\rm O{}}\nolimits}_{1,n}({{\mathbb R}})^{\uparrow}$ and that the representations thus obtained are the irreducible unitary spherical representations of this group. A key tool is a certain complex domain $\Xi$, known as the crown of the hyperboloid, containing a half-sphere ${{\mathbb S}}^n_+$ and the hyperboloid ${{\mathbb H}}^n$ as totally real submanifolds. This domain provides a bridge between those two manifolds when we study unitary representations of $G^c$ in spaces of holomorphic functions on $\Xi$. We connect this analysis with the boundary components which are the de Sitter | ---
abstract: 'In this article we specialize a construction of a reflection positive Hilbert space due to Dimock and Jaffe–Ritter to the sphere ${{\mathbb S}}^n$. We determine the resulting Osterwalder–Schrader Hilbert space, a construction that can be viewed as the step from euclidean to relativistic quantum field theory. We show that this process gives rise to an irreducible unitary spherical representation of the orthochronous Lorentz group $G^c = {\mathop{\rm O{}}\nolimits}_{1,n}({{\mathbb R}})^{\uparrow}$ and that the representations thus obtained are the irreducible unitary spherical representations of this group. A key tool is a certain complex domain $\Xi$, known as the crown of the hyperboloid, containing a half-sphere ${{\mathbb S}}^n_+$ and the hyperboloid ${{\mathbb H}}^n$ as totally real submanifolds. This domain provides a bridge between those two manifolds when we study unitary representations of $G^c$ in spaces of holomorphic functions on $\Xi$. We connect this analysis with the boundary components which are the de Sitter[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] ---
title: A Short Note on some open problems in the geometry of operator ideals
---
The principle of local reflexivity for maximal Banach ideals
============================================================
Throughout this Short Note, we essentially adopt notation and terminology from [@p1], which however cannot be explained here in detail, due to the limitation of space. Therefore, we would like to refer the interested reader to [@df; @j; @p1], the excellent survey article [@djp] and the further references therein. Let $(\frak{A},\mathbf{A})$ be an arbitrary *maximal* Banach ideal. It seems to be *still* an open problem whether it is *always* possible to transfer the norm estimation in the far-reaching classical principle of local reflexivity to the ideal norm $\mathbf{A}$. If this were not the case, we would be very interested in constructing an explicit counterexample. More precisely, we would like to know whether there exists a *maximal* Banach ideal $(\frak{A}_0,\mathbf{A}_0)$ which does *not* satisfy the following factorization property:
Let $E$ and | ---
title: A Short Note on some open problems in the geometry of operator ideals
---
The principle of local reflexivity for maximal Banach ideals
============================================================
Throughout this Short Note, we essentially adopt notation and terminology from [@p1], which however cannot be explained here in detail, due to the limitation of space. Therefore, we would like to refer the interested reader to [@df; @j; @p1], the excellent survey article [@djp] and the further references therein. Let $(\frak{A},\mathbf{A})$ be an arbitrary *maximal* Banach ideal. It seems to be *still* an open problem whether it is *always* possible to transfer the norm estimation in the far-reaching classical principle of local reflexivity to the ideal norm $\mathbf{A}$. If this were not the case, we would be very interested in constructing an explicit counterexample. More precisely, we would like to know whether there exists a *maximal* Banach ideal $(\frak{A}_0,\mathbf{A}_0)$ which does *not* satisfy the following factorization property:
Let $E$ 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] ---
author:
-
title: 'Modeling and controlling an active constrained layer (ACL) beam actuated by two voltage sources with/without magnetic effects'
---
Introduction
============
An active constrained layer (ACL) composite beam consists of two piezoelectric layers and a constrained viscoelastic layer. Each piezoelectric layer is actuated by different voltage sources. When the electrodes of the piezoelectric layers are subjected to voltage sources, they shrink or extend, and therefore, the whole ACL composite shrinks/extends or bends. Accurately modeling the composite requires certain mechanical and electrical (and magnetic) assumptions for each layer. The middle layer is modeled by classical Mindlin-Timoshenko assumptions and the stiff piezoelectric layers are modeled by the Euler-bernoulli assumptions. Piezoelectric layers are traditionally modeled through the electrostatic assumption, and all dynamic electrical effects and magnetic effects due to Maxwell’s equations are ruled out, i.e. see [@Smith], and the references therein. Since an ACL composite includes a piezoelectric layer, the corresponding models use the electrostatic assumption | ---
author:
-
title: 'Modeling and controlling an active constrained layer (ACL) beam actuated by two voltage sources with/without magnetic effects'
---
Introduction
============
An active constrained layer (ACL) composite beam consists of two piezoelectric layers and a constrained viscoelastic layer. Each piezoelectric layer is actuated by different voltage sources. When the electrodes of the piezoelectric layers are subjected to voltage sources, they shrink or extend, and therefore, the whole ACL composite shrinks/extends or bends. Accurately modeling the composite requires certain mechanical and electrical (and magnetic) assumptions for each layer. The middle layer is modeled by classical Mindlin-Timoshenko assumptions and the stiff piezoelectric layers are modeled by the Euler-bernoulli assumptions. Piezoelectric layers are traditionally modeled through the electrostatic assumption, and all dynamic electrical effects and magnetic effects due to Maxwell’s equations are ruled out, i.e. see [@Smith], and the references therein. Since an ACL composite includes a piezoelectric layer, the corresponding models use the electrostatic assumption[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 discuss the algebraic quantization of a real, massive scalar field in the Poincaré patch of the $(d+1)$-dimensional anti-de Sitter spacetime, with arbitrary boundary conditions. By using the functional formalism, we show that it is always possible to associate to such system an algebra of observables enjoying the standard properties of causality, time-slice axiom and F-locality. In addition, we characterize the wavefront set of the ground state associated to the system under investigation. As a consequence, we are able to generalize the definition of Hadamard states and construct a global algebra of Wick polynomials.'
address:
- |
Dipartimento di Fisica, Università degli Studi di Pavia, Via Bassi, 6, I-27100 Pavia, Italy\
Istituto Nazionale di Fisica Nucleare – Sezione di Pavia, Via Bassi, 6, I-27100 Pavia, Italy
- 'Istituto Nazionale di Fisica Nucleare – Sezione di Pavia, Via Bassi, 6, I-27100 Pavia, Italy'
author:
- Claudio Dappiaggi
- 'Hugo R. | ---
abstract: 'We discuss the algebraic quantization of a real, massive scalar field in the Poincaré patch of the $(d+1)$-dimensional anti-de Sitter spacetime, with arbitrary boundary conditions. By using the functional formalism, we show that it is always possible to associate to such system an algebra of observables enjoying the standard properties of causality, time-slice axiom and F-locality. In addition, we characterize the wavefront set of the ground state associated to the system under investigation. As a consequence, we are able to generalize the definition of Hadamard states and construct a global algebra of Wick polynomials.'
address:
- |
Dipartimento di Fisica, Università degli Studi di Pavia, Via Bassi, 6, I-27100 Pavia, Italy\
Istituto Nazionale di Fisica Nucleare – Sezione di Pavia, Via Bassi, 6, I-27100 Pavia, Italy
- 'Istituto Nazionale di Fisica Nucleare – Sezione di Pavia, Via Bassi, 6, I-27100 Pavia, Italy'
author:
- Claudio Dappiaggi
- 'Hugo 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: 'We prove an existence theorem for positive solutions to Lichnerowicz-type equations on complete manifolds with boundary ${(M,\partial M,{\langle \ ,\ \rangle})}$ and nonlinear Neumann conditions. This kind of nonlinear problems arise quite naturally in the study of solutions for the Einstein-scalar field equations of General Relativity in the framework of the so called Conformal Method.'
address: 'Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, I-20133, Milano, Italy'
author:
- Guglielmo Albanese
- Marco Rigoli
title: |
Lichnerowicz-type equations\
with sign-changing nonlinearities\
on complete manifolds with boundary
---
Introduction
============
In this paper we continue the investigation programme started in [@AR] on the behaviour of positive solutions of Lichnerowicz-type equations on complete Riemannian manifolds. While in the aforementioned paper we concentrated on the case of complete manifolds without boundary ${(M,{\langle \ ,\ \rangle})}$, now we turn our attention to the case of complete | ---
abstract: 'We prove an existence theorem for positive solutions to Lichnerowicz-type equations on complete manifolds with boundary ${(M,\partial M,{\langle \ ,\ \rangle})}$ and nonlinear Neumann conditions. This kind of nonlinear problems arise quite naturally in the study of solutions for the Einstein-scalar field equations of General Relativity in the framework of the so called Conformal Method.'
address: 'Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, I-20133, Milano, Italy'
author:
- Guglielmo Albanese
- Marco Rigoli
title: |
Lichnerowicz-type equations\
with sign-changing nonlinearities\
on complete manifolds with boundary
---
Introduction
============
In this paper we continue the investigation programme started in [@AR] on the behaviour of positive solutions of Lichnerowicz-type equations on complete Riemannian manifolds. While in the aforementioned paper we concentrated on the case of complete manifolds without boundary ${(M,{\langle \ ,\ \rangle})}$, now we turn our attention to the case of complete[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 renormalization group approach is used to show that a one dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light-cone increases as a non-analytic function of time after a critical time. Such a transition is also found for a simultaneous lattice and interaction quench where the effective scaling dimension of the lattice becomes time-dependent, crucially affecting the time-evolution of the system. Explicit results are presented for the time-evolution of the boson interaction parameter and the order parameter for the dynamical transition as well as for more general quenches.'
author:
- Aditi Mitra
title: 'Time-evolution and dynamical phase transitions at a critical time in a system of one dimensional bosons after a quantum quench '
---
A fundamental and challenging topic of research is to understand nonequilibrium strongly correlated systems in general, and how phase transitions occur in such systems in particular. | ---
abstract: 'A renormalization group approach is used to show that a one dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light-cone increases as a non-analytic function of time after a critical time. Such a transition is also found for a simultaneous lattice and interaction quench where the effective scaling dimension of the lattice becomes time-dependent, crucially affecting the time-evolution of the system. Explicit results are presented for the time-evolution of the boson interaction parameter and the order parameter for the dynamical transition as well as for more general quenches.'
author:
- Aditi Mitra
title: 'Time-evolution and dynamical phase transitions at a critical time in a system of one dimensional bosons after a quantum quench '
---
A fundamental and challenging topic of research is to understand nonequilibrium strongly correlated systems in general, and how phase transitions occur in such systems in particular.[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:
- 'C. von Essen$^{1,5}$, S. Cellone$^{2,3,4}$, M. Mallonn$^{6}$, B. Tingley$^{1}$, M. Marcussen$^{7}$'
bibliography:
- 'TTVsim.bib'
date: July 2016
subtitle: Implications on transit timing variations
title: 'Modelling systematics of ground-based transit photometry I.'
---
[The transit timing variation technique (TTV) has been widely used to detect and characterize multiple planetary systems. Due to the observational biases imposed mainly by the photometric conditions and instrumentation and the high signal-to-noise required to produce primary transit observations, ground-based data acquired using small telescopes limit the technique to the follow-up of hot Jupiters. However, space-based missions such as [[*Kepler*]{}]{} and [[*CoRoT*]{}]{} have already revealed that hot Jupiters are mainly found in single systems. Thus, it is natural to question ourselves if we are properly using the observing time at hand carrying out such follow-ups, or if the use of medium-to-low quality transit light curves, combined with current standard techniques of data analysis, could be playing a main role against exoplanetary search via | ---
author:
- 'C. von Essen$^{1,5}$, S. Cellone$^{2,3,4}$, M. Mallonn$^{6}$, B. Tingley$^{1}$, M. Marcussen$^{7}$'
bibliography:
- 'TTVsim.bib'
date: July 2016
subtitle: Implications on transit timing variations
title: 'Modelling systematics of ground-based transit photometry I.'
---
[The transit timing variation technique (TTV) has been widely used to detect and characterize multiple planetary systems. Due to the observational biases imposed mainly by the photometric conditions and instrumentation and the high signal-to-noise required to produce primary transit observations, ground-based data acquired using small telescopes limit the technique to the follow-up of hot Jupiters. However, space-based missions such as [[*Kepler*]{}]{} and [[*CoRoT*]{}]{} have already revealed that hot Jupiters are mainly found in single systems. Thus, it is natural to question ourselves if we are properly using the observing time at hand carrying out such follow-ups, or if the use of medium-to-low quality transit light curves, combined with current standard techniques of data analysis, could be playing a main role against exoplanetary search via[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: 'Certain semigroups are known to admit a ‘strong semilattice decomposition’ into simpler pieces. We introduce a class of Banach algebras that generalise the ${\ell^{1}_{}}$-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup $S$ of amenable groups, ${\ell^{1}_{}}(S)$ is simplicially trivial: this generalises results in [@YC_GMJ]. Some other applications are presented.'
address: 'School of Mathematics and Statistics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, England'
author:
- Yemon Choi
title: Simplicial homology of strong semilattices of Banach algebras
---
[Introduction]{} The connections between structural properties of a semigroup and cohomological properties of its ${\ell^{1}_{}}$-convolution algebra are still not fully understood. However, much work has been done (and much is known) for the case of group algebras. In attempting to extend existing techniques and results to more general semigroups, a promising class to consider first is that of so-called [[*Clifford semigroups*]{}]{}. Partial results | ---
abstract: 'Certain semigroups are known to admit a ‘strong semilattice decomposition’ into simpler pieces. We introduce a class of Banach algebras that generalise the ${\ell^{1}_{}}$-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup $S$ of amenable groups, ${\ell^{1}_{}}(S)$ is simplicially trivial: this generalises results in [@YC_GMJ]. Some other applications are presented.'
address: 'School of Mathematics and Statistics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, England'
author:
- Yemon Choi
title: Simplicial homology of strong semilattices of Banach algebras
---
[Introduction]{} The connections between structural properties of a semigroup and cohomological properties of its ${\ell^{1}_{}}$-convolution algebra are still not fully understood. However, much work has been done (and much is known) for the case of group algebras. In attempting to extend existing techniques and results to more general semigroups, a promising class to consider first is that of so-called [[*Clifford semigroups*]{}]{}. Partial results[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 is the third companion paper of [@main]. When a gauge theory has a flavor symmetry group, we construct a partial resolution of the Coulomb branch as a variant of the definition. We identify the partial resolution with a partial resolution of a generalized slice in the affine Grassmannian, Hilbert scheme of points, and resolved Cherkis bow variety for a quiver gauge theory of type $ADE$ or affine type $A$.'
address:
- ' Department of Mathematics, University of Toronto and Perimeter Institute of Theoretical Physics, Waterloo, Ontario, Canada, N2L 2Y5 '
- 'National Research University Higher School of Economics, Russian Federation, Department of Mathematics, 6 Usacheva st, Moscow 119048; Institute for Information Transmission Problems'
- 'Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan'
author:
- Alexander Braverman
- Michael Finkelberg
- Hiraku Nakajima
bibliography:
- 'nakajima.bib'
- 'mybib.bib'
- 'coulomb.bib'
title: Line bundles on Coulomb branches
---
Introduction
============
Let $G$ be a complex reductive group and ${\mathbf M}$ its symplectic representation of | ---
abstract: 'This is the third companion paper of [@main]. When a gauge theory has a flavor symmetry group, we construct a partial resolution of the Coulomb branch as a variant of the definition. We identify the partial resolution with a partial resolution of a generalized slice in the affine Grassmannian, Hilbert scheme of points, and resolved Cherkis bow variety for a quiver gauge theory of type $ADE$ or affine type $A$.'
address:
- ' Department of Mathematics, University of Toronto and Perimeter Institute of Theoretical Physics, Waterloo, Ontario, Canada, N2L 2Y5 '
- 'National Research University Higher School of Economics, Russian Federation, Department of Mathematics, 6 Usacheva st, Moscow 119048; Institute for Information Transmission Problems'
- 'Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan'
author:
- Alexander Braverman
- Michael Finkelberg
- Hiraku Nakajima
bibliography:
- 'nakajima.bib'
- 'mybib.bib'
- 'coulomb.bib'
title: Line bundles on Coulomb branches
---
Introduction
============
Let $G$ be a complex reductive group and ${\mathbf M}$ its symplectic representation 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] ---
abstract: 'In the first part the sh Lie structure of brackets in field theory, described in the jet bundle context along the lines suggested by Gel’fand, Dickey and Dorfman, is analyzed. In the second part, we discuss how this description allows us to find a natural relation between the Batalin-Vilkovisky antibracket and the Poisson bracket.'
---
[Brackets in the jet-bundle approach to field theory]{}
[G. Barnich]{}
Freie Universität Berlin, Fachbereich Physik, Institut für Theoretische Physik, Arnimallee 14, D-14195 Berlin.
This invited contribution summarizes the talk given by the author at the conference “Secondary Calculus and Cohomological Physics, August 24–31, 1997, Moscow, Russia”. The first part is based on work done in collaboration with R. Fulp, T. Lada and J. Stasheff [@BFLS]. The second part is based on work done in collaboration with M. Henneaux [@BaHe].
Sh Lie structure of brackets on the horizontal complex
======================================================
The horizontal complex as a resolution for local functionals
------------------------------------------------------------
In the approach of Gel’fand, Dickey and Dorfman to | ---
abstract: 'In the first part the sh Lie structure of brackets in field theory, described in the jet bundle context along the lines suggested by Gel’fand, Dickey and Dorfman, is analyzed. In the second part, we discuss how this description allows us to find a natural relation between the Batalin-Vilkovisky antibracket and the Poisson bracket.'
---
[Brackets in the jet-bundle approach to field theory]{}
[G. Barnich]{}
Freie Universität Berlin, Fachbereich Physik, Institut für Theoretische Physik, Arnimallee 14, D-14195 Berlin.
This invited contribution summarizes the talk given by the author at the conference “Secondary Calculus and Cohomological Physics, August 24–31, 1997, Moscow, Russia”. The first part is based on work done in collaboration with R. Fulp, T. Lada and J. Stasheff [@BFLS]. The second part is based on work done in collaboration with M. Henneaux [@BaHe].
Sh Lie structure of brackets on the horizontal complex
======================================================
The horizontal complex as a resolution for local functionals
------------------------------------------------------------
In the approach of Gel’fand, Dickey and Dorfman 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] ---
author:
- 'Takahiro Murashima, Shingo Urata'
- Shaofan Li
date: 'Received: date / Revised version: date'
subtitle: Modeling and simulation of amorphous polymeric materials
title: |
Coupling Finite Element Method with Large Scale Atomic/Molecular Massively Parallel Simulator (LAMMPS)\
for Hierarchical Multiscale Simulations
---
[leer.eps]{} gsave 72 31 moveto 72 342 lineto 601 342 lineto 601 31 lineto 72 31 lineto showpage grestore
Introduction {#intro}
============
Multiscale simulation methods, which couple atomistic models with continuum models, are advanced computational technologies aimed to understand material properties under specific conditions without using any empirical or experimental information. [ The multiscale approach is not simply a computational convenience, but deeply rooted in material physics,]{} because almost all physical events in nature are inherently multiscale phenomena with different time and length scales. In past two decades, a variety of multiscale techniques have been proposed and developed e.g. [@tadmor2011; @liu2004; @To2005; @Murashima2013]. In general, the multiscale methods in condensed matters | ---
author:
- 'Takahiro Murashima, Shingo Urata'
- Shaofan Li
date: 'Received: date / Revised version: date'
subtitle: Modeling and simulation of amorphous polymeric materials
title: |
Coupling Finite Element Method with Large Scale Atomic/Molecular Massively Parallel Simulator (LAMMPS)\
for Hierarchical Multiscale Simulations
---
[leer.eps]{} gsave 72 31 moveto 72 342 lineto 601 342 lineto 601 31 lineto 72 31 lineto showpage grestore
Introduction {#intro}
============
Multiscale simulation methods, which couple atomistic models with continuum models, are advanced computational technologies aimed to understand material properties under specific conditions without using any empirical or experimental information. [ The multiscale approach is not simply a computational convenience, but deeply rooted in material physics,]{} because almost all physical events in nature are inherently multiscale phenomena with different time and length scales. In past two decades, a variety of multiscale techniques have been proposed and developed e.g. [@tadmor2011; @liu2004; @To2005; @Murashima2013]. In general, the multiscale methods in condensed matters[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:
- 'F. Durret'
- 'E. Slezak'
- 'C. Adami'
date: 'Accepted . Received ; Draft printed: '
title: 'The cluster Abell 780: an optical view [^1]'
---
[The Abell 780 cluster, better known as the Hydra A cluster, has been thouroughly analyzed in X-rays. However, little is known on its optical properties.]{} [We propose to derive the galaxy luminosity function (GLF) in this apparently relaxed cluster, and to search for possible environmental effects by comparing the GLFs in various regions, and by looking at the galaxy distribution at large scale around Abell 780.]{} [Our study is based on optical images obtained with the ESO 2.2m telescope and WFI camera in the B and R bands, covering a total region of 67.22$\times$32.94 arcmin$^2$, or 4.235$\times$2.075 Mpc$^2$ for a cluster redshift of 0.0539.]{} [In a region of 500 kpc radius around the cluster centre, the GLF in the R band shows a double structure, with a broad and flat bright part and a flat | ---
author:
- 'F. Durret'
- 'E. Slezak'
- 'C. Adami'
date: 'Accepted . Received ; Draft printed: '
title: 'The cluster Abell 780: an optical view [^1]'
---
[The Abell 780 cluster, better known as the Hydra A cluster, has been thouroughly analyzed in X-rays. However, little is known on its optical properties.]{} [We propose to derive the galaxy luminosity function (GLF) in this apparently relaxed cluster, and to search for possible environmental effects by comparing the GLFs in various regions, and by looking at the galaxy distribution at large scale around Abell 780.]{} [Our study is based on optical images obtained with the ESO 2.2m telescope and WFI camera in the B and R bands, covering a total region of 67.22$\times$32.94 arcmin$^2$, or 4.235$\times$2.075 Mpc$^2$ for a cluster redshift of 0.0539.]{} [In a region of 500 kpc radius around the cluster centre, the GLF in the R band shows a double structure, with a broad and flat bright part and a flat[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 revisit the long-standing problem of the superfluid transition temperature $T_c$ in dilute neutron matter. It is well known that $T_c$ is strongly affected by medium polarization effects (screening) which modify the pairing interaction in the medium. We study these effects within the random-phase approximation (RPA). It turns out that the widely used Landau approximation is sufficient only at densities below about $0.002{\,\text{fm}}^{-3}$. At higher densities, the full RPA leads to stronger screening than the Landau approximation.'
author:
- 'M. Urban'
- 'S. Ramanan'
title: Neutron pairing with medium polarization beyond the Landau approximation
---
Introduction
============
Superfluidity in neutron stars is a long-standing problem that finds its inception in the attractive interaction between two nucleons that allows for the formation of Cooper pairs [@dean-jensen; @haskell-sedrakian; @sedrakian-clark]. Neutron stars, which are produced by a core-collapse supernova, are extremely dense objects, made of highly degenerate asymmetric nuclear matter. While the existence of a superfluid phase was theoretically predicted in | ---
abstract: 'We revisit the long-standing problem of the superfluid transition temperature $T_c$ in dilute neutron matter. It is well known that $T_c$ is strongly affected by medium polarization effects (screening) which modify the pairing interaction in the medium. We study these effects within the random-phase approximation (RPA). It turns out that the widely used Landau approximation is sufficient only at densities below about $0.002{\,\text{fm}}^{-3}$. At higher densities, the full RPA leads to stronger screening than the Landau approximation.'
author:
- 'M. Urban'
- 'S. Ramanan'
title: Neutron pairing with medium polarization beyond the Landau approximation
---
Introduction
============
Superfluidity in neutron stars is a long-standing problem that finds its inception in the attractive interaction between two nucleons that allows for the formation of Cooper pairs [@dean-jensen; @haskell-sedrakian; @sedrakian-clark]. Neutron stars, which are produced by a core-collapse supernova, are extremely dense objects, made of highly degenerate asymmetric nuclear matter. While the existence of a superfluid phase was theoretically predicted 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 2D Least Median of Squares (LMS) is a popular tool in robust regression because of its high breakdown point: up to half of the input data can be contaminated with outliers without affecting the accuracy of the LMS estimator. The complexity of 2D LMS estimation has been shown to be $\Omega(n^2)$ where $n$ is the total number of points. This high theoretical complexity along with the availability of graphics processing units (GPU) motivates the development of a fast, parallel, GPU-based algorithm for LMS computation. We present a CUDA based algorithm for LMS computation and show it to be much faster than the optimal state of the art single threaded CPU algorithm. We begin by describing the proposed method and analyzing its performance. We then demonstrate how it can be used to modify the well-known Hough Transform (HT) in order to efficiently detect image lines in noisy images. Our | ---
abstract: 'The 2D Least Median of Squares (LMS) is a popular tool in robust regression because of its high breakdown point: up to half of the input data can be contaminated with outliers without affecting the accuracy of the LMS estimator. The complexity of 2D LMS estimation has been shown to be $\Omega(n^2)$ where $n$ is the total number of points. This high theoretical complexity along with the availability of graphics processing units (GPU) motivates the development of a fast, parallel, GPU-based algorithm for LMS computation. We present a CUDA based algorithm for LMS computation and show it to be much faster than the optimal state of the art single threaded CPU algorithm. We begin by describing the proposed method and analyzing its performance. We then demonstrate how it can be used to modify the well-known Hough Transform (HT) in order to efficiently detect image lines in noisy images. Our[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. Camargo'
- 'C. Bonatto'
- 'E. Bica'
date: 'Received –; accepted –'
title: |
Towards a census of the Galactic anticentre star clusters:\
colour-magnitude diagram and structural analyses\
of a sample of 50 objects
---
[In this work we investigate the nature of 50 overdensities from the catalogue of Froebrich, Scholz, and Raftery (FSR) projected towards the Galactic anticentre, in the sector $160^\circ\,\leq\,\ell\,\leq 200^\circ$. The sample contains candidates with $|b|\,\leq\,20^\circ$ classified by FSR as probable open cluster (OC) and labelled with quality flags 2 and 3. Our main purpose is to determine the nature of these OC candidates and the fraction of these objects that are unknown OCs, as well as to derive astrophysical parameters (*age, reddening, distance, core and cluster radii*) for the clusters and to investigate the relationship among parameters.]{} [The analysis is based on 2MASS $J$, $(J-H)$, and $(J-K_s)$ colour-magnitude diagrams (CMDs), | ---
author:
- 'D. Camargo'
- 'C. Bonatto'
- 'E. Bica'
date: 'Received –; accepted –'
title: |
Towards a census of the Galactic anticentre star clusters:\
colour-magnitude diagram and structural analyses\
of a sample of 50 objects
---
[In this work we investigate the nature of 50 overdensities from the catalogue of Froebrich, Scholz, and Raftery (FSR) projected towards the Galactic anticentre, in the sector $160^\circ\,\leq\,\ell\,\leq 200^\circ$. The sample contains candidates with $|b|\,\leq\,20^\circ$ classified by FSR as probable open cluster (OC) and labelled with quality flags 2 and 3. Our main purpose is to determine the nature of these OC candidates and the fraction of these objects that are unknown OCs, as well as to derive astrophysical parameters (*age, reddening, distance, core and cluster radii*) for the clusters and to investigate the relationship among parameters.]{} [The analysis is based on 2MASS $J$, $(J-H)$, and $(J-K_s)$ colour-magnitude diagrams (CMDs),[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: 'Polar codes are designed for parallel channels with an average power constraint. The two main design choices are: the mapping between codeword bits and channels of different quality, and the power allocation under the average power constraint. Information theory suggests to allocate power such that the sum of terms is maximized. However, a power allocation specific to polar codes shows significant gains.'
author:
-
bibliography:
- 'IEEEabrv.bib'
- 'confs-jrnls.bib'
- 'literature.bib'
title: Design of Polar Codes for Parallel Channels with an Average Power Constraint
---
Polar Code, Power Allocation, Mercury-Waterfilling, Parallel Channels, Block-Fading Channels.
Introduction
============
Polar codes were introduced in [@St02; @Ar09]. They are the first class of codes that achieve the capacity of binary input discrete memoryless channels with a deterministic construction [@Ar09]. channel. In [@AlTe16] it was shown that the effect of polarization also takes place for non-stationary channels. In this paper, we consider parallel channels with an average power constraint [@cover_elements_it Section 9.4]. Parallel channels naturally | ---
abstract: 'Polar codes are designed for parallel channels with an average power constraint. The two main design choices are: the mapping between codeword bits and channels of different quality, and the power allocation under the average power constraint. Information theory suggests to allocate power such that the sum of terms is maximized. However, a power allocation specific to polar codes shows significant gains.'
author:
-
bibliography:
- 'IEEEabrv.bib'
- 'confs-jrnls.bib'
- 'literature.bib'
title: Design of Polar Codes for Parallel Channels with an Average Power Constraint
---
Polar Code, Power Allocation, Mercury-Waterfilling, Parallel Channels, Block-Fading Channels.
Introduction
============
Polar codes were introduced in [@St02; @Ar09]. They are the first class of codes that achieve the capacity of binary input discrete memoryless channels with a deterministic construction [@Ar09]. channel. In [@AlTe16] it was shown that the effect of polarization also takes place for non-stationary channels. In this paper, we consider parallel channels with an average power constraint [@cover_elements_it Section 9.4]. Parallel channels naturally[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:
- 'M. Salvetti [^1]'
- 'S. Settepanella [^2]'
date: January 2007
title: Combinatorial Morse theory and minimality of hyperplane arrangements
---
\[section\] \[df\][Proposition]{} \[df\][Lemma]{} \[df\][Corollary]{} \[df\][Remark]{} \[df\][Notation]{}
In [@dimcapapa], [@randell] it was proven that the complement to a hyperplane arrangement in ${\mathbb{C}}^n$ is a [*minimal*]{} space, i.e. it has the homotopy type of a $CW$-complex with exactly as many $i$-cells as the $i$-th Betti number $b_i.$ The arguments use (relative) Morse theory and Lefschetz type theorems.
This result of “existence” was refined in the case of complexified real arrangements in [@yoshinaga]. The author consider a flag $V_0\subset V_1\subset\cdots\subset V_n\subset {\mathbb{R}}^n,$ $dim(V_i)=i,$ which is [*generic*]{} with respect to the arrangement, i.e. $V_i$ intersects transversally all codimensional$-i$ intersections of hyperplanes. The interesting main result is a correspondence between the $k-$cells of the minimal complex and the set of [*chambers*]{} which intersect $V_k$ but do not intersect $V_{k-1}.$ The arguments still use the Morse theoretic proof of Lefschetz theorem, and | ---
author:
- 'M. Salvetti [^1]'
- 'S. Settepanella [^2]'
date: January 2007
title: Combinatorial Morse theory and minimality of hyperplane arrangements
---
\[section\] \[df\][Proposition]{} \[df\][Lemma]{} \[df\][Corollary]{} \[df\][Remark]{} \[df\][Notation]{}
In [@dimcapapa], [@randell] it was proven that the complement to a hyperplane arrangement in ${\mathbb{C}}^n$ is a [*minimal*]{} space, i.e. it has the homotopy type of a $CW$-complex with exactly as many $i$-cells as the $i$-th Betti number $b_i.$ The arguments use (relative) Morse theory and Lefschetz type theorems.
This result of “existence” was refined in the case of complexified real arrangements in [@yoshinaga]. The author consider a flag $V_0\subset V_1\subset\cdots\subset V_n\subset {\mathbb{R}}^n,$ $dim(V_i)=i,$ which is [*generic*]{} with respect to the arrangement, i.e. $V_i$ intersects transversally all codimensional$-i$ intersections of hyperplanes. The interesting main result is a correspondence between the $k-$cells of the minimal complex and the set of [*chambers*]{} which intersect $V_k$ but do not intersect $V_{k-1}.$ The arguments still use the Morse theoretic proof of Lefschetz theorem, 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 present a new method for modeling electronically excited states that overcomes a key failing of linear response theory by allowing the underlying ground state ansatz to relax in the presence of an excitation. The method is variational, has a cost similar to ground state variational Monte Carlo, and admits both open and periodic boundary conditions. We present preliminary numerical results showing that, when paired with the Jastrow antisymmetric geminal power ansatz, the variation-after-response formalism delivers accuracies for valence and charge transfer single excitations on par with equation of motion coupled cluster, while surpassing even this very high-level method’s accuracy for excitations with significant doubly excited character.'
author:
- 'Eric Neuscamman$^{1,2,}$'
bibliography:
- 'var\_qmc.bib'
title: Variation After Response in Quantum Monte Carlo
---
Linear response (LR) theory is currently the most widely used approach for modeling electronic excitations in molecules. It has been applied to a wide variety of approximate wave functions [@HeadGordon:2005:cis_review; @Krylov:2008:eom_cc_review; @Chan:2014:lrdmrg; @Chan:2013:thouless; | ---
abstract: 'We present a new method for modeling electronically excited states that overcomes a key failing of linear response theory by allowing the underlying ground state ansatz to relax in the presence of an excitation. The method is variational, has a cost similar to ground state variational Monte Carlo, and admits both open and periodic boundary conditions. We present preliminary numerical results showing that, when paired with the Jastrow antisymmetric geminal power ansatz, the variation-after-response formalism delivers accuracies for valence and charge transfer single excitations on par with equation of motion coupled cluster, while surpassing even this very high-level method’s accuracy for excitations with significant doubly excited character.'
author:
- 'Eric Neuscamman$^{1,2,}$'
bibliography:
- 'var\_qmc.bib'
title: Variation After Response in Quantum Monte Carlo
---
Linear response (LR) theory is currently the most widely used approach for modeling electronic excitations in molecules. It has been applied to a wide variety of approximate wave functions [@HeadGordon:2005:cis_review; @Krylov:2008:eom_cc_review; @Chan:2014:lrdmrg; @Chan:2013:thouless;[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] ---
title:
---
**ON SUBREGULARITY PROPERTIES OF SET-VALUED MAPPINGS. APPLICATIONS TO SOLID VECTOR OPTIMIZATION**
by
MARIUS APETRII[^1], MARIUS DUREA[^2] and RADU STRUGARIU[^3]
[ In this work we classify the at-point regularities of set-valued mappings into two categories and then we analyze their relationship through several implications and examples. After this theoretical tour, we use the subregularity properties to deduce implicit theorems for set-valued maps. Finally, we present some applications to the study of multicriteria optimization problems.]{}
[set-valued maps $\cdot$ at-point regularity $\cdot$ around-point regularity$\cdot$ implicit multifunction theorems $\cdot$ solid vector optimization]{}
[49J52[ $\cdot$ 49J53]{}]{}
Introduction
============
This work is a natural continuation of the recent papers [@DurStr4] and [@DNS2011]. We mention that in [@DurStr4] several results concerning the behavior of the implicit solution mappings associated to parametric variational systems are given under around-point regularity assumptions for the initial mappings, while in [@DNS2011] the same concepts are employed in order to get necessary optimality conditions for multicriteria optimization. However, let us remark that, on one hand, the | ---
title:
---
**ON SUBREGULARITY PROPERTIES OF SET-VALUED MAPPINGS. APPLICATIONS TO SOLID VECTOR OPTIMIZATION**
by
MARIUS APETRII[^1], MARIUS DUREA[^2] and RADU STRUGARIU[^3]
[ In this work we classify the at-point regularities of set-valued mappings into two categories and then we analyze their relationship through several implications and examples. After this theoretical tour, we use the subregularity properties to deduce implicit theorems for set-valued maps. Finally, we present some applications to the study of multicriteria optimization problems.]{}
[set-valued maps $\cdot$ at-point regularity $\cdot$ around-point regularity$\cdot$ implicit multifunction theorems $\cdot$ solid vector optimization]{}
[49J52[ $\cdot$ 49J53]{}]{}
Introduction
============
This work is a natural continuation of the recent papers [@DurStr4] and [@DNS2011]. We mention that in [@DurStr4] several results concerning the behavior of the implicit solution mappings associated to parametric variational systems are given under around-point regularity assumptions for the initial mappings, while in [@DNS2011] the same concepts are employed in order to get necessary optimality conditions for multicriteria optimization. However, let us remark that, on one hand, 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 and study exterior distance function (EDF) and correspondent exterior point method (EPM) for convex optimization.
The EDF is a classical Lagrangian for an equivalent problem obtained from the initial one by monotone transformation of both the objective function and the constraints.
The constraints transformation is scaled by a positive scaling parameter. Thus, the EDF is a particular realization of the Nonlinear Rescaling (NR) principle.
Along with the “center”, the EDF has two extra tools: the barrier (scaling) parameter and the vector of Lagrange multipliers.
We show that EPM generates primal - dual sequence, which converges to the primal - dual solution in value under minimum assumption on the input data. Moreover, the convergence is taking place under any fixed interior point as a “center” and any fixed positive scaling parameter, just | ---
abstract: |
We introduce and study exterior distance function (EDF) and correspondent exterior point method (EPM) for convex optimization.
The EDF is a classical Lagrangian for an equivalent problem obtained from the initial one by monotone transformation of both the objective function and the constraints.
The constraints transformation is scaled by a positive scaling parameter. Thus, the EDF is a particular realization of the Nonlinear Rescaling (NR) principle.
Along with the “center”, the EDF has two extra tools: the barrier (scaling) parameter and the vector of Lagrange multipliers.
We show that EPM generates primal - dual sequence, which converges to the primal - dual solution in value under minimum assumption on the input data. Moreover, the convergence is taking place under any fixed interior point as a “center” and any fixed positive scaling parameter, just[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: 'Using data collected with the CLEO III detector at the Cornell Electron Storage Ring, we study the inclusive production of baryons/antibaryons (p, $\Lambda$) and mesons ($\phi$ and $f_2(1270)$) in gluon-fragmentation and quark-fragmentation processes. We first corroborate previous per-event total particle yields in $\Upsilon$(1S)$\to ggg$ compared with nearby continuum ($e^+e^-\to q{\overline q}$) indicating greater ($\sim\times$2) per-event yields of baryons in 3-gluon fragmentation. We find similar results when we extend that comparison to include the $\Upsilon$(2S) and $\Upsilon$(3S) resonances. With higher statistics, we now also probe the momentum dependence of these per-event particle yields. Next, we compare particle production in the photon-tagged process $\Upsilon({\rm 1S}) \rightarrow gg\gamma$ with that in $e^+e^- \rightarrow q{\bar q}\gamma$ events, to allow comparison of two-parton with three-parton particle-specific fragmentation. For each particle, we determine the ‘enhancement’ ratio, defined as the ratio of particle yields per gluon fragmentation event compared to quark fragmentation event. Thus defined, an enhancement | ---
abstract: 'Using data collected with the CLEO III detector at the Cornell Electron Storage Ring, we study the inclusive production of baryons/antibaryons (p, $\Lambda$) and mesons ($\phi$ and $f_2(1270)$) in gluon-fragmentation and quark-fragmentation processes. We first corroborate previous per-event total particle yields in $\Upsilon$(1S)$\to ggg$ compared with nearby continuum ($e^+e^-\to q{\overline q}$) indicating greater ($\sim\times$2) per-event yields of baryons in 3-gluon fragmentation. We find similar results when we extend that comparison to include the $\Upsilon$(2S) and $\Upsilon$(3S) resonances. With higher statistics, we now also probe the momentum dependence of these per-event particle yields. Next, we compare particle production in the photon-tagged process $\Upsilon({\rm 1S}) \rightarrow gg\gamma$ with that in $e^+e^- \rightarrow q{\bar q}\gamma$ events, to allow comparison of two-parton with three-parton particle-specific fragmentation. For each particle, we determine the ‘enhancement’ ratio, defined as the ratio of particle yields per gluon fragmentation event compared to quark fragmentation event. Thus defined, an enhancement[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] = 10000
“Giant magnetoresistance” refers to the large change of resistance brought about by applying an external magnetic field so as to change the angle between the magnetization directions of adjacent magnetic films[@GMR_reviews]. Since a spin injected into a magnetic material experiences a torque, it has been argued that there should be a reverse effect, namely, that passage of a current through adjacent magnetic layers should lead to the transfer of spin angular momentum from one layer to the other[@Slon96; @Berger96] with possible reorientation of the magnetizations for sufficiently large currents [@Slon96]. Interestingly, the sign of the corresponding torque should be reversed on changing the current direction leading to the possibility of making an electronically accessible non-volatile magnetic memory whose performance on downscaling would appear to compare favorably with other alternatives[@Inomata01]. The experimental observation of current-induced magnetization reversal (“spin transfer”) effects by a number of groups[@Tsoi98; @Wegrowe99; @Sun99; @Myers99; @Katine00] calls | = 10000
“Giant magnetoresistance” refers to the large change of resistance brought about by applying an external magnetic field so as to change the angle between the magnetization directions of adjacent magnetic films[@GMR_reviews]. Since a spin injected into a magnetic material experiences a torque, it has been argued that there should be a reverse effect, namely, that passage of a current through adjacent magnetic layers should lead to the transfer of spin angular momentum from one layer to the other[@Slon96; @Berger96] with possible reorientation of the magnetizations for sufficiently large currents [@Slon96]. Interestingly, the sign of the corresponding torque should be reversed on changing the current direction leading to the possibility of making an electronically accessible non-volatile magnetic memory whose performance on downscaling would appear to compare favorably with other alternatives[@Inomata01]. The experimental observation of current-induced magnetization reversal (“spin transfer”) effects by a number of groups[@Tsoi98; @Wegrowe99; @Sun99; @Myers99; @Katine00] calls[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: 'Ambiguity and noise in natural language instructions create a significant barrier towards adopting autonomous systems into safety critical workflows involving humans and machines. In this paper, we propose to build on recent advances in electrophysiological monitoring methods and augmented reality technologies, to develop alternative modes of communication between humans and robots involved in large-scale proximal collaborative tasks. We will first introduce augmented reality techniques for projecting a robot’s intentions to its human teammate, who can interact with these cues to engage in real-time collaborative plan execution with the robot. We will then look at how electroencephalographic (EEG) feedback can be used to monitor human response to both discrete events, as well as longer term affective states while execution of a plan. These signals can be used by a learning agent, a.k.a an affective robot, to modify its policy. We will present an end-to-end system capable of demonstrating these modalities | ---
abstract: 'Ambiguity and noise in natural language instructions create a significant barrier towards adopting autonomous systems into safety critical workflows involving humans and machines. In this paper, we propose to build on recent advances in electrophysiological monitoring methods and augmented reality technologies, to develop alternative modes of communication between humans and robots involved in large-scale proximal collaborative tasks. We will first introduce augmented reality techniques for projecting a robot’s intentions to its human teammate, who can interact with these cues to engage in real-time collaborative plan execution with the robot. We will then look at how electroencephalographic (EEG) feedback can be used to monitor human response to both discrete events, as well as longer term affective states while execution of a plan. These signals can be used by a learning agent, a.k.a an affective robot, to modify its policy. We will present an end-to-end system capable of demonstrating these modalities[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 generalize the Cable Model to describe the transport characteristics of the gap junctions coupling adjacent cells in the heart muscle. Our model takes into account recent experimental information about the time dependence of the junctional current and modifies the connections between cells. It can be used with whatever excitable model is used to represent the cell. We show that by modulating the gap junction transport characteristics, it is possible to either suppress or produce meandering of spiral waves, a state associated with cardiac arrhythmia.'
author:
- |
Isabel M. Irurzun,$^{1)}$, Magdalena M. Defeo,$%
^{2)}$\
\
(1) CCT La Plata- CONICET. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas\
(INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata.\
La Plata, República Argentina.\
(2) Hospital Interzonal General de Agudos ”Prof. Dr. | ---
abstract: 'We generalize the Cable Model to describe the transport characteristics of the gap junctions coupling adjacent cells in the heart muscle. Our model takes into account recent experimental information about the time dependence of the junctional current and modifies the connections between cells. It can be used with whatever excitable model is used to represent the cell. We show that by modulating the gap junction transport characteristics, it is possible to either suppress or produce meandering of spiral waves, a state associated with cardiac arrhythmia.'
author:
- |
Isabel M. Irurzun,$^{1)}$, Magdalena M. Defeo,$%
^{2)}$\
\
(1) CCT La Plata- CONICET. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas\
(INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata.\
La Plata, República Argentina.\
(2) Hospital Interzonal General de Agudos ”Prof. Dr.[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 Perez et al [@Perez2012] wrote on the spectral slope of MHD turbulence claiming that it is consistent with -3/2. This work contains a number of errors, factual inaccuracies and puzzling methods in the interpretation of numerics. We argue that the numerical evidence that the authors presented is actually against -3/2 slope and the assumption of universal alignment, opposite to what they claim. Perhaps the most puzzling is the Fig. 8 that claims that the authors measured the inertial range length and that it is consistent with $Re^{2/3}$ scaling. At a close inspection it appears that the datapoints are not the result of a measurement, but rather were calculated by a formula.'
author:
- 'A. Beresnyak'
bibliography:
- 'all.bib'
title: 'Comment on Perez et al PRX 2, 041005 (2012)'
---
Currently there were conflicting reports regarding the spectral slope of MHD turbulence. While Beresnyak reports numerical data as roughly consistent with $-5/3$ slope and inconsistent with $-3/2$ | ---
abstract: 'Recently Perez et al [@Perez2012] wrote on the spectral slope of MHD turbulence claiming that it is consistent with -3/2. This work contains a number of errors, factual inaccuracies and puzzling methods in the interpretation of numerics. We argue that the numerical evidence that the authors presented is actually against -3/2 slope and the assumption of universal alignment, opposite to what they claim. Perhaps the most puzzling is the Fig. 8 that claims that the authors measured the inertial range length and that it is consistent with $Re^{2/3}$ scaling. At a close inspection it appears that the datapoints are not the result of a measurement, but rather were calculated by a formula.'
author:
- 'A. Beresnyak'
bibliography:
- 'all.bib'
title: 'Comment on Perez et al PRX 2, 041005 (2012)'
---
Currently there were conflicting reports regarding the spectral slope of MHD turbulence. While Beresnyak reports numerical data as roughly consistent with $-5/3$ slope and inconsistent with $-3/2$[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: 'Density functional calculations are employed to study the molecular dissociation of hydrogen on graphene, the diffusion of chemisorbed atomic species, and the electronic properties of the resulting hydrogen on graphene system. Our results show that applying stress to the graphene substrate can lower the barrier to dissociation of molecular hydrogen by a factor of six, and change the process from endothermic to exothermic. These values for the barrier and the heat of reaction, unlike the zero stress values, are compatible with the time scales observed in experiments. Diffusion, on the other hand, is not greatly modified by stress. We analyse the electronic structure for configurations relevant to molecular dissociation and adsorption of atomic hydrogen on a graphene single layer. An absolute band gap of $0.5$ eV is found for the equilibrium optimum configuration for a narrow range of coverages ($\theta \approx 0.25$). This value is in good agreement with | ---
abstract: 'Density functional calculations are employed to study the molecular dissociation of hydrogen on graphene, the diffusion of chemisorbed atomic species, and the electronic properties of the resulting hydrogen on graphene system. Our results show that applying stress to the graphene substrate can lower the barrier to dissociation of molecular hydrogen by a factor of six, and change the process from endothermic to exothermic. These values for the barrier and the heat of reaction, unlike the zero stress values, are compatible with the time scales observed in experiments. Diffusion, on the other hand, is not greatly modified by stress. We analyse the electronic structure for configurations relevant to molecular dissociation and adsorption of atomic hydrogen on a graphene single layer. An absolute band gap of $0.5$ eV is found for the equilibrium optimum configuration for a narrow range of coverages ($\theta \approx 0.25$). This value is in good agreement with[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 deep learning revolution brought us an extensive array of neural network architectures that achieve state-of-the-art performance in a wide variety of Computer Vision tasks including among others, classification, detection and segmentation. In parallel, we have also been observing an unprecedented demand in computational and memory requirements, rendering the efficient use of neural networks in low-powered devices virtually unattainable. Towards this end, we propose a three-stage compression and acceleration pipeline that sparsifies, quantizes and entropy encodes activation maps of Convolutional Neural Networks. Sparsification increases the representational power of activation maps leading to both acceleration of inference and higher model accuracy. Inception-V3 and MobileNet-V1 can be accelerated by as much as $1.6\times$ with an increase in accuracy of $0.38\%$ and $0.54\%$ on the ImageNet and CIFAR-10 datasets respectively. Quantizing and entropy coding the sparser activation maps lead to higher compression over the baseline, reducing the memory cost of the network | ---
abstract: 'The deep learning revolution brought us an extensive array of neural network architectures that achieve state-of-the-art performance in a wide variety of Computer Vision tasks including among others, classification, detection and segmentation. In parallel, we have also been observing an unprecedented demand in computational and memory requirements, rendering the efficient use of neural networks in low-powered devices virtually unattainable. Towards this end, we propose a three-stage compression and acceleration pipeline that sparsifies, quantizes and entropy encodes activation maps of Convolutional Neural Networks. Sparsification increases the representational power of activation maps leading to both acceleration of inference and higher model accuracy. Inception-V3 and MobileNet-V1 can be accelerated by as much as $1.6\times$ with an increase in accuracy of $0.38\%$ and $0.54\%$ on the ImageNet and CIFAR-10 datasets respectively. Quantizing and entropy coding the sparser activation maps lead to higher compression over the baseline, reducing the memory cost of the network[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 and study the Doubly Balanced Connected graph Partitioning (DBCP) problem: Let $G=(V,E)$ be a connected graph with a weight (supply/demand) function $p:V\rightarrow \{-1,+1\}$ satisfying $p(V)=\sum_{j\in V} p(j)=0$. The objective is to partition $G$ into $(V_1,V_2)$ such that $G[V_1]$ and $G[V_2]$ are connected, $|p(V_1)|,|p(V_2)|\leq c_p$, and $\max\{\frac{|V_1|}{|V_2|},\frac{|V_2|}{|V_1|}\}\leq c_s$, for some constants $c_p$ and $c_s$. When $G$ is 2-connected, we show that a solution with $c_p=1$ and $c_s=3$ always exists and can be found in polynomial time. Moreover, when $G$ is 3-connected, we show that there is always a ‘perfect’ solution (a partition with $p(V_1)=p(V_2)=0$ and $|V_1|=|V_2|$, if $|V|\equiv 0 (\mathrm{mod}~4)$), and it can be found in polynomial time. Our techniques can be extended, with similar results, to the case in which the weights are arbitrary (not necessarily $\pm 1$), and to the case that $p(V)\neq 0$ and the excess supply/demand should be split evenly. They also apply to | ---
abstract: 'We introduce and study the Doubly Balanced Connected graph Partitioning (DBCP) problem: Let $G=(V,E)$ be a connected graph with a weight (supply/demand) function $p:V\rightarrow \{-1,+1\}$ satisfying $p(V)=\sum_{j\in V} p(j)=0$. The objective is to partition $G$ into $(V_1,V_2)$ such that $G[V_1]$ and $G[V_2]$ are connected, $|p(V_1)|,|p(V_2)|\leq c_p$, and $\max\{\frac{|V_1|}{|V_2|},\frac{|V_2|}{|V_1|}\}\leq c_s$, for some constants $c_p$ and $c_s$. When $G$ is 2-connected, we show that a solution with $c_p=1$ and $c_s=3$ always exists and can be found in polynomial time. Moreover, when $G$ is 3-connected, we show that there is always a ‘perfect’ solution (a partition with $p(V_1)=p(V_2)=0$ and $|V_1|=|V_2|$, if $|V|\equiv 0 (\mathrm{mod}~4)$), and it can be found in polynomial time. Our techniques can be extended, with similar results, to the case in which the weights are arbitrary (not necessarily $\pm 1$), and to the case that $p(V)\neq 0$ and the excess supply/demand should be split evenly. They also apply 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: 'The aim of this paper is to understand the behaviour of a large number of coupled subwavelength resonators. We use layer potential techniques in combination with numerical computations to study [the acoustic pressure field due to scattering by]{} a graded array of subwavelength resonators. Using this method, we study a graded-resonance model for the cochlea. We compute the resonant modes of the system and explore the model’s ability to decompose incoming signals. We are able to offer mathematical explanations for the cochlea’s so-called “travelling wave” behaviour and tonotopic frequency map.'
author:
- 'Habib Ammari[^1]'
- Bryn Davies
bibliography:
- 'cochlea.bib'
title: 'A fully-coupled subwavelength resonance approach to modelling the passive cochlea'
---
------------------------------------------------------------------------
**Mathematics subject classification:** 35R30, 35C20
**Keywords:** subwavelength resonance, cochlear mechanics, coupled resonators, hybridisation, passive cochlea, signal processing
------------------------------------------------------------------------
Introduction
============
The development of the understanding of the cochlea has largely been a dichotomy between two classes of models [@bell2012resonance]. The first, proposed by Hermann von Helmholtz in the 1850s, is | ---
abstract: 'The aim of this paper is to understand the behaviour of a large number of coupled subwavelength resonators. We use layer potential techniques in combination with numerical computations to study [the acoustic pressure field due to scattering by]{} a graded array of subwavelength resonators. Using this method, we study a graded-resonance model for the cochlea. We compute the resonant modes of the system and explore the model’s ability to decompose incoming signals. We are able to offer mathematical explanations for the cochlea’s so-called “travelling wave” behaviour and tonotopic frequency map.'
author:
- 'Habib Ammari[^1]'
- Bryn Davies
bibliography:
- 'cochlea.bib'
title: 'A fully-coupled subwavelength resonance approach to modelling the passive cochlea'
---
------------------------------------------------------------------------
**Mathematics subject classification:** 35R30, 35C20
**Keywords:** subwavelength resonance, cochlear mechanics, coupled resonators, hybridisation, passive cochlea, signal processing
------------------------------------------------------------------------
Introduction
============
The development of the understanding of the cochlea has largely been a dichotomy between two classes of models [@bell2012resonance]. The first, proposed by Hermann von Helmholtz in the 1850s, is[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
[ ]{} 0.8in T. MUNEHISA and Y.MUNEHISA 0.2in Faculty of Engineering, Yamanashi University
Takeda, Kofu, Yamanashi 400-8511, Japan 0.5in
0.5in [**ABSTRACT**]{}
We report an attempt to calculate energy eigenvalues of large quantum systems by the diagonalization of an effectively truncated Hamiltonian matrix. For this purpose we employ a specific way to systematically make a set of orthogonal states from a trial wavefunction and the Hamiltonian. In comparison with the Lanczos method, which is quite powerful if the size of the system is within the memory capacity of computers, our method requires much less memory resources at the cost of the extreme accuracy.
In this paper we demonstrate that our method works well in the systems of one-dimensional frustrated spins up to 48 sites, of bosons on a chain up to 32 sites and of fermions on a ladder up to 28 sites. We will see this method enables us to study eigenvalues of | 22.5cm 15.0cm
[ ]{} 0.8in T. MUNEHISA and Y.MUNEHISA 0.2in Faculty of Engineering, Yamanashi University
Takeda, Kofu, Yamanashi 400-8511, Japan 0.5in
0.5in [**ABSTRACT**]{}
We report an attempt to calculate energy eigenvalues of large quantum systems by the diagonalization of an effectively truncated Hamiltonian matrix. For this purpose we employ a specific way to systematically make a set of orthogonal states from a trial wavefunction and the Hamiltonian. In comparison with the Lanczos method, which is quite powerful if the size of the system is within the memory capacity of computers, our method requires much less memory resources at the cost of the extreme accuracy.
In this paper we demonstrate that our method works well in the systems of one-dimensional frustrated spins up to 48 sites, of bosons on a chain up to 32 sites and of fermions on a ladder up to 28 sites. We will see this method enables us to study eigenvalues 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] ---
abstract: 'We measure the top quark mass in dilepton final states of events in collisions at $\sqrt{s}=1.96$ TeV, using data corresponding to an integrated luminosity of $9.7$ fb$^{-1}$ at the Fermilab Tevatron Collider. The analysis features a comprehensive optimization of the neutrino weighting method to minimize the statistical uncertainties. We also improve the calibration of jet energies using the calibration determined in ${\rightarrow}$ lepton+jets events, which reduces the otherwise limiting systematic uncertainty from the jet energy scale. The measured top quark mass is ${\mbox{$m_{t}$}}=173.32\pm1.36({\rm stat})\pm0.85({\rm syst})$ GeV.'
title: Precise measurement of the top quark mass in dilepton decays using optimized neutrino weighting
---
author\_list.tex
1.0in
Introduction
============
The discovery of the top quark in 1995 [@tobsD0; @tobsCDF] completed the three quark families of the standard model (SM). Since then, the top quark has been one of the focal points of the Fermilab Tevatron and of the CERN LHC programs. The top quark stands out because of its large mass, , which | ---
abstract: 'We measure the top quark mass in dilepton final states of events in collisions at $\sqrt{s}=1.96$ TeV, using data corresponding to an integrated luminosity of $9.7$ fb$^{-1}$ at the Fermilab Tevatron Collider. The analysis features a comprehensive optimization of the neutrino weighting method to minimize the statistical uncertainties. We also improve the calibration of jet energies using the calibration determined in ${\rightarrow}$ lepton+jets events, which reduces the otherwise limiting systematic uncertainty from the jet energy scale. The measured top quark mass is ${\mbox{$m_{t}$}}=173.32\pm1.36({\rm stat})\pm0.85({\rm syst})$ GeV.'
title: Precise measurement of the top quark mass in dilepton decays using optimized neutrino weighting
---
author\_list.tex
1.0in
Introduction
============
The discovery of the top quark in 1995 [@tobsD0; @tobsCDF] completed the three quark families of the standard model (SM). Since then, the top quark has been one of the focal points of the Fermilab Tevatron and of the CERN LHC programs. The top quark stands out because of its large mass, , 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: 'In recent years non-demographic variability has been shown to greatly affect dynamics of stochastic populations. For example, non-demographic noise in the form of a bursty reproduction process with an a-priori unknown burst size, or environmental variability in the form of time-varying reaction rates, have been separately found to dramatically impact the extinction risk of isolated populations. In this work we investigate the extinction risk of an isolated population under the *combined* influence of these two types of non-demographic variation. Using the so-called momentum-space WKB approach we arrive at a set of time-dependent Hamilton equations. In order to account for the explicit time dependence, we find the instanton of the time-perturbed Hamiltonian numerically, where analytical expressions are presented in particular limits using various perturbation techniques. We focus on two classes of time-varying environments: periodically-varying rates corresponding to seasonal effects, and a sudden decrease in the birth rate corresponding to a | ---
abstract: 'In recent years non-demographic variability has been shown to greatly affect dynamics of stochastic populations. For example, non-demographic noise in the form of a bursty reproduction process with an a-priori unknown burst size, or environmental variability in the form of time-varying reaction rates, have been separately found to dramatically impact the extinction risk of isolated populations. In this work we investigate the extinction risk of an isolated population under the *combined* influence of these two types of non-demographic variation. Using the so-called momentum-space WKB approach we arrive at a set of time-dependent Hamilton equations. In order to account for the explicit time dependence, we find the instanton of the time-perturbed Hamiltonian numerically, where analytical expressions are presented in particular limits using various perturbation techniques. We focus on two classes of time-varying environments: periodically-varying rates corresponding to seasonal effects, and a sudden decrease in the birth rate corresponding to a[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 paper we further study the notion of proper costratifying systems, defined in [@MPV]. We give sufficient conditions for their existence, and investigate the relation between the stratifying systems defined by K. Erdmann and C. Sáenz in [@ES] with the proper costratifying systems.'
author:
- 'O. Mendoza, M. I. Platzeck and M. Verdecchia'
title: On the existence and construction of proper costratifying systems
---
Introduction. {#introduction. .unnumbered}
=============
In [@MPV] we define and study the notion of a proper costratifying system, which is a generalization of the so called proper costandard modules to the context of stratifying systems. K. Erdmann and C. Sáenz defined in [@ES] the notion of a stratifying system $(\Theta=\{\Theta(i)\}_{i=1}^{t},\underline{Y},\leq),$ and proved that such a system satisfies that each $\Theta(i)$ is indecomposable and ${{\mathrm{Ext}}}_\Lambda ^{1}(\Theta(i),\Theta(j))=0$ for $i\geq j.$ Reciprocally, they also showed that given a family of indecomposable $\Lambda$-modules $\Theta=\{\Theta(i)\}_{i=1}^{t}$ satisfying that ${{\mathrm{Ext}}}_\Lambda ^{1}(\Theta(i),\Theta(j))=0$ for $i\geq j,$ and such that ${{\mathrm{Hom}}}_\Lambda(\Theta(i),\Theta(j))=0$ for | ---
abstract: 'In this paper we further study the notion of proper costratifying systems, defined in [@MPV]. We give sufficient conditions for their existence, and investigate the relation between the stratifying systems defined by K. Erdmann and C. Sáenz in [@ES] with the proper costratifying systems.'
author:
- 'O. Mendoza, M. I. Platzeck and M. Verdecchia'
title: On the existence and construction of proper costratifying systems
---
Introduction. {#introduction. .unnumbered}
=============
In [@MPV] we define and study the notion of a proper costratifying system, which is a generalization of the so called proper costandard modules to the context of stratifying systems. K. Erdmann and C. Sáenz defined in [@ES] the notion of a stratifying system $(\Theta=\{\Theta(i)\}_{i=1}^{t},\underline{Y},\leq),$ and proved that such a system satisfies that each $\Theta(i)$ is indecomposable and ${{\mathrm{Ext}}}_\Lambda ^{1}(\Theta(i),\Theta(j))=0$ for $i\geq j.$ Reciprocally, they also showed that given a family of indecomposable $\Lambda$-modules $\Theta=\{\Theta(i)\}_{i=1}^{t}$ satisfying that ${{\mathrm{Ext}}}_\Lambda ^{1}(\Theta(i),\Theta(j))=0$ for $i\geq j,$ and such that ${{\mathrm{Hom}}}_\Lambda(\Theta(i),\Theta(j))=0$ 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] ---
abstract: 'We present the first detection of para-ammonia masers in NGC 7538: multiple epochs of observation of the $^{14}$NH$_3$ $(J,K) = (10,8)$ and (9,8) lines. We detect both thermal absorption and nonthermal emission in the (10,8) and (9,8) transitions and the absence of a maser in the (11,8) transition. The (9,8) maser is observed to increase in intensity by 40% over six months. Using interferometric observations with a synthesized beam of $0\farcs25$, we find that the (10,8) and (9,8) masers originate at the same sky position near IRS 1. With strong evidence that the (10,8) and (9,8) masers arise in the same volume, we discuss the application of pumping models for the simultaneous excitation of nonmetastable $(J > K)$ para-ammonia states having the same value of $K$ and consecutive values of $J$. We also present detections of thermal absorption in rotational states ranging in energy from $E/k_B \sim 200$ K to 2000 K, and | ---
abstract: 'We present the first detection of para-ammonia masers in NGC 7538: multiple epochs of observation of the $^{14}$NH$_3$ $(J,K) = (10,8)$ and (9,8) lines. We detect both thermal absorption and nonthermal emission in the (10,8) and (9,8) transitions and the absence of a maser in the (11,8) transition. The (9,8) maser is observed to increase in intensity by 40% over six months. Using interferometric observations with a synthesized beam of $0\farcs25$, we find that the (10,8) and (9,8) masers originate at the same sky position near IRS 1. With strong evidence that the (10,8) and (9,8) masers arise in the same volume, we discuss the application of pumping models for the simultaneous excitation of nonmetastable $(J > K)$ para-ammonia states having the same value of $K$ and consecutive values of $J$. We also present detections of thermal absorption in rotational states ranging in energy from $E/k_B \sim 200$ K to 2000 K, 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: 'An integral representation of the intertwining operator for the Dunkl operators associated with symmetric groups is derived for the class of functions of a single component. The expression provides a closed form formula for the reproducing kernels of $h$-harmonics associated with symmetric groups when one of the components is a coordinate vector. The latter allows us to establish a sharp result for the Cesàro summability of $h$-harmonic series on the unit sphere.'
address: |
Department of Mathematics\
University of Oregon\
Eugene, Oregon 97403-1222.
author:
- Yuan Xu
title: Intertwining operator associated to symmetric groups and summability on the unit sphere
---
Introduction
============
Associate to a reflection group $G$, the Dunkl operators are a family of commuting first order differential-difference operators that act on smooth functions on $\RR^d$ [@D89]. In the case that $G = S_d$, the symmetric group of $d$ elements, these operators are defined by $$\label{eq:dunkl}
| ---
abstract: 'An integral representation of the intertwining operator for the Dunkl operators associated with symmetric groups is derived for the class of functions of a single component. The expression provides a closed form formula for the reproducing kernels of $h$-harmonics associated with symmetric groups when one of the components is a coordinate vector. The latter allows us to establish a sharp result for the Cesàro summability of $h$-harmonic series on the unit sphere.'
address: |
Department of Mathematics\
University of Oregon\
Eugene, Oregon 97403-1222.
author:
- Yuan Xu
title: Intertwining operator associated to symmetric groups and summability on the unit sphere
---
Introduction
============
Associate to a reflection group $G$, the Dunkl operators are a family of commuting first order differential-difference operators that act on smooth functions on $\RR^d$ [@D89]. In the case that $G = S_d$, the symmetric group of $d$ elements, these operators are defined by $$\label{eq:dunkl}
[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 work we calculate the effects of the electroweak flavour changing neutral currents dimension six effective operators on single top production at the LHC. These results are then combined with previous ones we have obtained for the strong sector. This allow us, for the first time, to perform a combined analysis of flavour changing neutral currents in top production with all contributing dimension six operators. Finally, we study the feasibility of their observation and characterization both at the Tevatron and at the LHC.'
author:
- 'R.A. Coimbra$^{1,2}$ [^1], P.M. Ferreira$^{3,4}$ [^2], R.B. Guedes$^{4}$ [^3], O. Oliveira$^{2}$ [^4], A. Onofre$^{1}$ [^5], R. Santos$^{5}$ [^6] and Miguel Won$^{1,5}$ [^7]'
title: Dimension six FCNC operators and top production at the LHC
---
SHEP-08-38\
Introduction {#sec:intr}
============
CERN’s Large Hadron Collider (LHC) will soon start colliding protons with 14 TeV center of mass energy. This top quark factory will allow us to study the least known of all quarks with unprecedented precision. The study of flavour changing | ---
abstract: 'In this work we calculate the effects of the electroweak flavour changing neutral currents dimension six effective operators on single top production at the LHC. These results are then combined with previous ones we have obtained for the strong sector. This allow us, for the first time, to perform a combined analysis of flavour changing neutral currents in top production with all contributing dimension six operators. Finally, we study the feasibility of their observation and characterization both at the Tevatron and at the LHC.'
author:
- 'R.A. Coimbra$^{1,2}$ [^1], P.M. Ferreira$^{3,4}$ [^2], R.B. Guedes$^{4}$ [^3], O. Oliveira$^{2}$ [^4], A. Onofre$^{1}$ [^5], R. Santos$^{5}$ [^6] and Miguel Won$^{1,5}$ [^7]'
title: Dimension six FCNC operators and top production at the LHC
---
SHEP-08-38\
Introduction {#sec:intr}
============
CERN’s Large Hadron Collider (LHC) will soon start colliding protons with 14 TeV center of mass energy. This top quark factory will allow us to study the least known of all quarks with unprecedented precision. The study of flavour changing[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: 'Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the rank two Lie group $G_2$, including the McKay graphs for the irreducible representations of $G_2$ and its maximal torus, and fusion modules associated to all known $G_2$ modular invariants.'
author:
- |
[David E. Evans and Mathew Pugh]{}\
[School of Mathematics, Cardiff University,]{}\
[Senghennydd Road, Cardiff CF24 4AG, Wales, U.K.]{}
title: 'Spectral Measures for $G_2$'
---
Introduction {#sect:intro}
============
Spectral measures associated to the compact Lie group $A_1 = SU(2)$ and its maximal torus, nimrep graphs associated to the $SU(2)$ modular invariants, and the McKay graphs for finite subgroups of $SU(2)$ were studied in [@banica/bisch:2007] using information about the generating series of the moments of the spectral measure and the Jones series which is related to the Poincaré series of the subfactor planar algebra associated to the | ---
abstract: 'Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the rank two Lie group $G_2$, including the McKay graphs for the irreducible representations of $G_2$ and its maximal torus, and fusion modules associated to all known $G_2$ modular invariants.'
author:
- |
[David E. Evans and Mathew Pugh]{}\
[School of Mathematics, Cardiff University,]{}\
[Senghennydd Road, Cardiff CF24 4AG, Wales, U.K.]{}
title: 'Spectral Measures for $G_2$'
---
Introduction {#sect:intro}
============
Spectral measures associated to the compact Lie group $A_1 = SU(2)$ and its maximal torus, nimrep graphs associated to the $SU(2)$ modular invariants, and the McKay graphs for finite subgroups of $SU(2)$ were studied in [@banica/bisch:2007] using information about the generating series of the moments of the spectral measure and the Jones series which is related to the Poincaré series of the subfactor planar algebra associated to 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: 'In this paper we state an analog of Calabi’s conjecture proved by Yau. The difference with the classical case is that we propose deformation of the complex structure, whereas the complex Monge–Ampère equation describes deformation of the Kähler (symplectic) structure.'
address: |
Ammosov Northeastern federal university\
Kulakovskogo str. 48, 677000, Yakutsk, Russia
author:
- 'Dmitry V. Egorov'
title: 'Symplectic analog of Calabi’s conjecture for Calabi–Yau threefolds'
---
[^1]
Conjecture
==========
Celebrated Calabi’s conjecture [@Calabi] proved by Yau [@Yau] gives a criterion for a Kähler manifold to have a vanishing Ricci curvature. It states that if the first Chern class of a manifold vanishes, then in a given Kähler class there exists a unique Ricci-flat metric. Yau proved conjecture by showing an existence of a solution for the complex Monge–Ampère equation.
In this paper we state an analog of Calabi’s conjecture for threefolds. We consider the deformation of a holomorphic volume form, whereas | ---
abstract: 'In this paper we state an analog of Calabi’s conjecture proved by Yau. The difference with the classical case is that we propose deformation of the complex structure, whereas the complex Monge–Ampère equation describes deformation of the Kähler (symplectic) structure.'
address: |
Ammosov Northeastern federal university\
Kulakovskogo str. 48, 677000, Yakutsk, Russia
author:
- 'Dmitry V. Egorov'
title: 'Symplectic analog of Calabi’s conjecture for Calabi–Yau threefolds'
---
[^1]
Conjecture
==========
Celebrated Calabi’s conjecture [@Calabi] proved by Yau [@Yau] gives a criterion for a Kähler manifold to have a vanishing Ricci curvature. It states that if the first Chern class of a manifold vanishes, then in a given Kähler class there exists a unique Ricci-flat metric. Yau proved conjecture by showing an existence of a solution for the complex Monge–Ampère equation.
In this paper we state an analog of Calabi’s conjecture for threefolds. We consider the deformation of a holomorphic volume form, whereas[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 moduli space ${\mathrm{MP}}_d$ of degree $d$ polynomials, special subvarieties are those cut out by critical orbit relations, and then special points are the post-critically finite polynomials. It was conjectured that in ${\mathrm{MP}}_d$, subvarieties containing a Zariski-dense set of special points are exactly these special subvarieties. In this article, we prove the first non-trivial case for this conjecture: the case $d=3$.'
address:
- |
Dragos Ghioca\
Department of Mathematics\
University of British Columbia\
Vancouver, BC V6T 1Z2\
Canada
- |
Hexi Ye\
Department of Mathematics\
University of British Columbia\
Vancouver, BC V6T 1Z2\
Canada
author:
- Dragos Ghioca
- Hexi Ye
title: 'The Dynamical André-Oort Conjecture for cubic polynomials'
---
[^1]
Introduction
============
Our main result is the proof of the first important case of the Dynamical | ---
abstract: 'In the moduli space ${\mathrm{MP}}_d$ of degree $d$ polynomials, special subvarieties are those cut out by critical orbit relations, and then special points are the post-critically finite polynomials. It was conjectured that in ${\mathrm{MP}}_d$, subvarieties containing a Zariski-dense set of special points are exactly these special subvarieties. In this article, we prove the first non-trivial case for this conjecture: the case $d=3$.'
address:
- |
Dragos Ghioca\
Department of Mathematics\
University of British Columbia\
Vancouver, BC V6T 1Z2\
Canada
- |
Hexi Ye\
Department of Mathematics\
University of British Columbia\
Vancouver, BC V6T 1Z2\
Canada
author:
- Dragos Ghioca
- Hexi Ye
title: 'The Dynamical André-Oort Conjecture for cubic polynomials'
---
[^1]
Introduction
============
Our main result is the proof of the first important case of the Dynamical[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] epsf \#1[\#1]{} harvmac
=cmss10 =cmss10 at 7pt \#1\#2\#3
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Paul Ginsparg[^1][email: ginsparg@xxx.lanl.gov]{} and Fernando Quevedo[^2] [Present address: Institut de Physique, Université de Neuchâtel, Rue A.-L. Bréguet 1 CH-2000, Switzerland. email: phquevedo@cnedcu51.bitnet. Supported by Swiss National Foundation.]{}
Los Alamos National Laboratory
Theoretical Division, MS-B285
Los Alamos NM 87545
.3in We present a general discussion of strings propagating on noncompact coset spaces $G/H$ in terms of gauged WZW models, emphasizing the role played by isometries in the existence of target space duality. Fixed points of the gauged transformations induce metric singularities and, in the case of abelian subgroups $H$, become horizons in a dual geometry. We also give a classification of models with a single timelike coordinate together with an explicit list for dimensions $D\leq 10$. We study in detail the class of models described by the cosets $SL(2,\IR)\otimes SO(1,1)^{D-2}/SO(1,1)$. For $D\geq 2$ each coset represents two different spacetime geometries: (2D black hole)$\otimes
\IR^{D-2}$ and (3D black string)$\otimes \IR^{D-3}$ with | epsf \#1[\#1]{} harvmac
=cmss10 =cmss10 at 7pt \#1\#2\#3
\#1\#2\#3
\#3
Paul Ginsparg[^1][email: ginsparg@xxx.lanl.gov]{} and Fernando Quevedo[^2] [Present address: Institut de Physique, Université de Neuchâtel, Rue A.-L. Bréguet 1 CH-2000, Switzerland. email: phquevedo@cnedcu51.bitnet. Supported by Swiss National Foundation.]{}
Los Alamos National Laboratory
Theoretical Division, MS-B285
Los Alamos NM 87545
.3in We present a general discussion of strings propagating on noncompact coset spaces $G/H$ in terms of gauged WZW models, emphasizing the role played by isometries in the existence of target space duality. Fixed points of the gauged transformations induce metric singularities and, in the case of abelian subgroups $H$, become horizons in a dual geometry. We also give a classification of models with a single timelike coordinate together with an explicit list for dimensions $D\leq 10$. We study in detail the class of models described by the cosets $SL(2,\IR)\otimes SO(1,1)^{D-2}/SO(1,1)$. For $D\geq 2$ each coset represents two different spacetime geometries: (2D black hole)$\otimes
\IR^{D-2}$ and (3D black string)$\otimes \IR^{D-3}$ with[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 proof of the theorem concerning to the inverse cyclotomic Discrete Fourier Transform algorithm over finite field is provided.'
author:
- 'Sergei V. Fedorenko$^{1}$[^1] [^2]'
title: '**The inverse cyclotomic Discrete Fourier Transform algorithm** '
---
INTRODUCTION
============
The discrete Fourier transform (DFT) can be applied in error correcting codes and code-based cryptography. The cyclotomic DFT method [@Fedorenko03; @Fedorenko04] is the best one for computing the DFT over finite field. Alexey Maevskiy pointed that formula in the example of paper [@Fedorenko04] had not been proved. We have corrected this mistake and introduced the proof.
BASIC NOTIONS AND DEFINITIONS
=============================
The DFT of length ${n \mid 2^m-1}$ of a vector $f = (f_i)$, $i \in [0,n-1]$, $f_i \in GF(2^m)$, is the vector $F = (F_j)$ $$F_j = \sum_{i=0}^{n-1} f_i \alpha^{ij}, \quad j \in [0,n-1],$$ where $\alpha$ is an element of order $n$ in $GF(2^m)$. Let us write the DFT in matrix form
$$F = Wf,$$
where $W = (\alpha^{ij})$, $i,j \in [0,n-1]$, is | ---
abstract: 'The proof of the theorem concerning to the inverse cyclotomic Discrete Fourier Transform algorithm over finite field is provided.'
author:
- 'Sergei V. Fedorenko$^{1}$[^1] [^2]'
title: '**The inverse cyclotomic Discrete Fourier Transform algorithm** '
---
INTRODUCTION
============
The discrete Fourier transform (DFT) can be applied in error correcting codes and code-based cryptography. The cyclotomic DFT method [@Fedorenko03; @Fedorenko04] is the best one for computing the DFT over finite field. Alexey Maevskiy pointed that formula in the example of paper [@Fedorenko04] had not been proved. We have corrected this mistake and introduced the proof.
BASIC NOTIONS AND DEFINITIONS
=============================
The DFT of length ${n \mid 2^m-1}$ of a vector $f = (f_i)$, $i \in [0,n-1]$, $f_i \in GF(2^m)$, is the vector $F = (F_j)$ $$F_j = \sum_{i=0}^{n-1} f_i \alpha^{ij}, \quad j \in [0,n-1],$$ where $\alpha$ is an element of order $n$ in $GF(2^m)$. Let us write the DFT in matrix form
$$F = Wf,$$
where $W = (\alpha^{ij})$, $i,j \in [0,n-1]$, is[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 time evolution of random variables with Lévy statistics has the ability to develop jumps, displaying very different behaviors from continuously fluctuating cases. Such patterns appear in an ever broadening range of examples including random lasers, non-Gaussian kinetics or foraging strategies. The penalizing or reinforcing effect of the environment, however, has been little explored so far. We report a new phenomenon which manifests as a qualitative transition in the spatial decay behavior of the stationary measure of a jump process under an external potential, occurring on a combined change in the characteristics of the process and the lowest eigenvalue resulting from the effect of the potential. This also provides insight into the fundamental question of what is the mechanism of the spatial decay of a ground state.'
author:
- |
Kamil Kaleta\
[*Institute of Mathematics, University of Warsaw*]{}\
[*Banacha 2, 02-097 Warsaw, | ---
abstract: 'The time evolution of random variables with Lévy statistics has the ability to develop jumps, displaying very different behaviors from continuously fluctuating cases. Such patterns appear in an ever broadening range of examples including random lasers, non-Gaussian kinetics or foraging strategies. The penalizing or reinforcing effect of the environment, however, has been little explored so far. We report a new phenomenon which manifests as a qualitative transition in the spatial decay behavior of the stationary measure of a jump process under an external potential, occurring on a combined change in the characteristics of the process and the lowest eigenvalue resulting from the effect of the potential. This also provides insight into the fundamental question of what is the mechanism of the spatial decay of a ground state.'
author:
- |
Kamil Kaleta\
[*Institute of Mathematics, University of Warsaw*]{}\
[*Banacha 2, 02-097 Warsaw,[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 optical photometric observations of three extreme TeV blazars, 1ES 0229$+$200, 1ES 0414$+$009, and 1ES 2344$+$514, taken with two telescopes (1.3 m Devasthal Fast Optical Telescope, and 1.04 m Sampuranand Telescope) in India and two (1.4 m Milanković telescope and 60 cm Nedeljković telescope) in Serbia during 2013–2019. We investigated their flux and spectral variability on diverse timescales. We examined a total of 36 intraday $R-$band light curves of these blazars for flux variations using the power-enhanced [*F*]{}-test and the nested ANOVA test. No significant intraday variation was detected on 35 nights, and during the one positive detection the amplitude of variability was only 2.26 per cent. On yearly timescales, all three blazars showed clear flux variations in all optical wavebands. The weighted mean optical spectral index ($\alpha_{BR}$), calculated using $B - R$ color indices, for 1ES 0229$+$200 was 2.09 $\pm$ 0.01. We also estimated | ---
abstract: 'We present the results of optical photometric observations of three extreme TeV blazars, 1ES 0229$+$200, 1ES 0414$+$009, and 1ES 2344$+$514, taken with two telescopes (1.3 m Devasthal Fast Optical Telescope, and 1.04 m Sampuranand Telescope) in India and two (1.4 m Milanković telescope and 60 cm Nedeljković telescope) in Serbia during 2013–2019. We investigated their flux and spectral variability on diverse timescales. We examined a total of 36 intraday $R-$band light curves of these blazars for flux variations using the power-enhanced [*F*]{}-test and the nested ANOVA test. No significant intraday variation was detected on 35 nights, and during the one positive detection the amplitude of variability was only 2.26 per cent. On yearly timescales, all three blazars showed clear flux variations in all optical wavebands. The weighted mean optical spectral index ($\alpha_{BR}$), calculated using $B - R$ color indices, for 1ES 0229$+$200 was 2.09 $\pm$ 0.01. We also estimated[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: |
Current convolutional neural networks algorithms for video object tracking spend the same amount of computation for each object and video frame. However, it is harder to track an object in some frames than others, due to the varying amount of clutter, scene complexity, amount of motion, and object’s distinctiveness against its background. We propose a depth-adaptive convolutional Siamese network that performs video tracking adaptively at multiple neural network depths. Parametric gating functions are trained to control the depth of the convolutional feature extractor by minimizing a joint loss of computational cost and tracking error. Our network achieves accuracy comparable to the state-of-the-art on the VOT2016 benchmark. Furthermore, our adaptive depth computation achieves higher accuracy for a given computational cost than traditional fixed-structure neural networks. The presented framework extends to other tasks that use convolutional neural networks and enables trading speed for accuracy at runtime.
| ---
abstract: |
Current convolutional neural networks algorithms for video object tracking spend the same amount of computation for each object and video frame. However, it is harder to track an object in some frames than others, due to the varying amount of clutter, scene complexity, amount of motion, and object’s distinctiveness against its background. We propose a depth-adaptive convolutional Siamese network that performs video tracking adaptively at multiple neural network depths. Parametric gating functions are trained to control the depth of the convolutional feature extractor by minimizing a joint loss of computational cost and tracking error. Our network achieves accuracy comparable to the state-of-the-art on the VOT2016 benchmark. Furthermore, our adaptive depth computation achieves higher accuracy for a given computational cost than traditional fixed-structure neural networks. The presented framework extends to other tasks that use convolutional neural networks and enables trading speed for accuracy at runtime.
[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 PT symmetric flat Friedmann model of two scalar fields with positive kinetic terms. While the potential of one (“normal”) field is taken real, that of the other field is complex. We study a complex classical solution of the system of the two Klein-Gordon equations together with the Friedmann equation. The solution for the normal field is real while the solution for the second field is purely imaginary, realizing classically the “phantom” behavior. The energy density and pressure are real and the corresponding geometry is well-defined. The Lagrangian for the linear perturbations has the correct potential signs for both the fields, so that the problem of stability does not arise. The background dynamics is determined by an effective action including two real fields one normal and one “phantom”. Remarkably, the phantom phase in the cosmological evolution is transient and the Big Rip never occurs. Our model is contrasted | ---
abstract: 'We consider the PT symmetric flat Friedmann model of two scalar fields with positive kinetic terms. While the potential of one (“normal”) field is taken real, that of the other field is complex. We study a complex classical solution of the system of the two Klein-Gordon equations together with the Friedmann equation. The solution for the normal field is real while the solution for the second field is purely imaginary, realizing classically the “phantom” behavior. The energy density and pressure are real and the corresponding geometry is well-defined. The Lagrangian for the linear perturbations has the correct potential signs for both the fields, so that the problem of stability does not arise. The background dynamics is determined by an effective action including two real fields one normal and one “phantom”. Remarkably, the phantom phase in the cosmological evolution is transient and the Big Rip never occurs. Our model is contrasted[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 dynamical properties of electroencephalogram (EEG) signals of human in sleep. By using a modified random walk method, We demonstrate that the scale-invariance is embedded in EEG signals after a detrending procedure. Further more, we study the dynamical evolution of probability density function (PDF) of the detrended EEG signals by nonextensive statistical modeling. It displays scale-independent property, which is markedly different from the turbulent-like scale-dependent PDF evolution.'
author:
- 'Shi-Min Cai$^{1}$'
- 'Zhao-Hui Jiang$^{1}$'
- 'Tao Zhou$^{1,2}$'
- 'Pei-Ling Zhou$^{1}$'
- 'Hui-Jie Yang$^{2}$'
- 'Bing-Hong Wang$^{2}$'
title: 'Scale-invariance of human EEG signals in sleep'
---
[*-Introduction.*]{} The analysis of electroencephalogram (EEG) signals attracts extensive attentions from various research fields, since it can not only help us to understand the dynamical mechanism of human brain activities, but also be potentially useful in clinics as a criterion of some neural diseases. Some previous works have been done on human EEG signals in sleep and other physiological states. In Refs. | ---
abstract: 'We investigate the dynamical properties of electroencephalogram (EEG) signals of human in sleep. By using a modified random walk method, We demonstrate that the scale-invariance is embedded in EEG signals after a detrending procedure. Further more, we study the dynamical evolution of probability density function (PDF) of the detrended EEG signals by nonextensive statistical modeling. It displays scale-independent property, which is markedly different from the turbulent-like scale-dependent PDF evolution.'
author:
- 'Shi-Min Cai$^{1}$'
- 'Zhao-Hui Jiang$^{1}$'
- 'Tao Zhou$^{1,2}$'
- 'Pei-Ling Zhou$^{1}$'
- 'Hui-Jie Yang$^{2}$'
- 'Bing-Hong Wang$^{2}$'
title: 'Scale-invariance of human EEG signals in sleep'
---
[*-Introduction.*]{} The analysis of electroencephalogram (EEG) signals attracts extensive attentions from various research fields, since it can not only help us to understand the dynamical mechanism of human brain activities, but also be potentially useful in clinics as a criterion of some neural diseases. Some previous works have been done on human EEG signals in sleep and other physiological states. In Refs.[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: |
Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton scattering length, the deuteron, and the triton binding energy as input, the predictions ${a_s(t\text{-}n)}=9.2\pm2.6~$fm, ${a_t(t\text{-}n)}=7.6\pm1.6~$fm, ${a^C_s(^3\text{He-}p)}=3.6\pm0.32~$fm, and ${a^C_t(^3\text{He-}p)}=3.1\pm 0.23~$fm are obtained.
The calculations employ the resonating group method and include the Coulomb interaction when appropriate. The theoretical uncertainty is assessed via a variation of the regulator parameter of the short-distance interaction from $400~$MeV to $1.6~$GeV. The phase-shift and scattering-length results for the proton-Helium-3 system are consistent with a recent phase shift analysis and with model calculations. For neutron-triton, the results for the scattering lengths in both singlet and triplet channels are significantly smaller than suggested by R-matrix and partial-wave-analysis extractions from data.
For a better understanding of this discrepancy, the sensitivity | ---
abstract: |
Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton scattering length, the deuteron, and the triton binding energy as input, the predictions ${a_s(t\text{-}n)}=9.2\pm2.6~$fm, ${a_t(t\text{-}n)}=7.6\pm1.6~$fm, ${a^C_s(^3\text{He-}p)}=3.6\pm0.32~$fm, and ${a^C_t(^3\text{He-}p)}=3.1\pm 0.23~$fm are obtained.
The calculations employ the resonating group method and include the Coulomb interaction when appropriate. The theoretical uncertainty is assessed via a variation of the regulator parameter of the short-distance interaction from $400~$MeV to $1.6~$GeV. The phase-shift and scattering-length results for the proton-Helium-3 system are consistent with a recent phase shift analysis and with model calculations. For neutron-triton, the results for the scattering lengths in both singlet and triplet channels are significantly smaller than suggested by R-matrix and partial-wave-analysis extractions from data.
For a better understanding of this discrepancy, the sensitivity[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 how the dynamics of a class of discrete dynamical system models for neuronal networks depends on the connectivity of the network. Specifically, we assume that the network is an Erdős-Rényi random graph and analytically derive scaling laws for the average lengths of the attractors and transients under certain restrictions on the intrinsic parameters of the neurons, that is, their refractory periods and firing thresholds. In contrast to earlier results that were reported in [@TAWJ], here we focus on the connection probabilities near the phase transition where the most complex dynamics is expected to occur.'
author:
- 'Winfried Just[^1], Sungwoo Ahn[^2]'
title: Lengths of attractors and transients in neuronal networks with random connectivities
---
Introduction {#sec:intro}
============
We study generic behavior of a class of discrete dynamic system models of neuronal networks. This class was designed to model the phenomenon of so-called *dynamic clustering,* where time appears to be partitioned into consecutive episodes during which certain | ---
abstract: 'We study how the dynamics of a class of discrete dynamical system models for neuronal networks depends on the connectivity of the network. Specifically, we assume that the network is an Erdős-Rényi random graph and analytically derive scaling laws for the average lengths of the attractors and transients under certain restrictions on the intrinsic parameters of the neurons, that is, their refractory periods and firing thresholds. In contrast to earlier results that were reported in [@TAWJ], here we focus on the connection probabilities near the phase transition where the most complex dynamics is expected to occur.'
author:
- 'Winfried Just[^1], Sungwoo Ahn[^2]'
title: Lengths of attractors and transients in neuronal networks with random connectivities
---
Introduction {#sec:intro}
============
We study generic behavior of a class of discrete dynamic system models of neuronal networks. This class was designed to model the phenomenon of so-called *dynamic clustering,* where time appears to be partitioned into consecutive episodes during which certain[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 short note we show that the lower bounds of Mangoubi [@Ma2] on the inner radius of nodal domains can be improved for quantum ergodic sequences of eigenfunctions, according to a certain power of the radius of shrinking balls on which the eigenfunctions equidistribute. We prove such improvements using a quick application of our recent results [@He16], which give modified growth estimates for eigenfunctions that equidistribute on small balls. Since by [@Han15; @HeRi] small scale QE holds for negatively curved manifolds on logarithmically shrinking balls, we get logarithmic improvements on the inner radius of eigenfunctions on such manifolds. We also get improvements for manifolds with ergodic geodesic flows. In addition using the small scale equidistribution results of [@LeRu], one gets polynomial betterments of [@Ma2] for toral eigenfunctions in dimensions $n \geq 3$. The results work only for a full density subsequence of eigenfunctions.'
address: 'Department of Mathematics, UC Irvine, | ---
abstract: 'In this short note we show that the lower bounds of Mangoubi [@Ma2] on the inner radius of nodal domains can be improved for quantum ergodic sequences of eigenfunctions, according to a certain power of the radius of shrinking balls on which the eigenfunctions equidistribute. We prove such improvements using a quick application of our recent results [@He16], which give modified growth estimates for eigenfunctions that equidistribute on small balls. Since by [@Han15; @HeRi] small scale QE holds for negatively curved manifolds on logarithmically shrinking balls, we get logarithmic improvements on the inner radius of eigenfunctions on such manifolds. We also get improvements for manifolds with ergodic geodesic flows. In addition using the small scale equidistribution results of [@LeRu], one gets polynomial betterments of [@Ma2] for toral eigenfunctions in dimensions $n \geq 3$. The results work only for a full density subsequence of eigenfunctions.'
address: 'Department of Mathematics, UC Irvine,[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 design of the best *economic mechanism* for Sponsored Search Auctions (SSAs) is a central task in computational mechanism design/game theory. Two open questions concern the adoption of user models more accurate than that one currently used and the choice between Generalized Second Price auction (GSP) and Vickrey–Clark–Groves mechanism (VCG). In this paper, we provide some contributions to answer these questions. We study Price of Anarchy (PoA) and Price of Stability (PoS) over social welfare and auctioneer’s revenue of GSP w.r.t. the VCG when the users follow the famous *cascade model*. Furthermore, we provide exact, randomized, and approximate algorithms, showing that in real–world settings (Yahoo! Webscope A3 dataset[, 10 available slots]{}) optimal allocations can be found in less than 1s with up to $\numprint{1,000}$ ads, and can be approximated in less than 20ms even with more than $\numprint{1,000}$ ads with an average accuracy greater than 99%.'
author:
- Gabriele Farina
- | ---
abstract: '> The design of the best *economic mechanism* for Sponsored Search Auctions (SSAs) is a central task in computational mechanism design/game theory. Two open questions concern the adoption of user models more accurate than that one currently used and the choice between Generalized Second Price auction (GSP) and Vickrey–Clark–Groves mechanism (VCG). In this paper, we provide some contributions to answer these questions. We study Price of Anarchy (PoA) and Price of Stability (PoS) over social welfare and auctioneer’s revenue of GSP w.r.t. the VCG when the users follow the famous *cascade model*. Furthermore, we provide exact, randomized, and approximate algorithms, showing that in real–world settings (Yahoo! Webscope A3 dataset[, 10 available slots]{}) optimal allocations can be found in less than 1s with up to $\numprint{1,000}$ ads, and can be approximated in less than 20ms even with more than $\numprint{1,000}$ ads with an average accuracy greater than 99%.'
author:
- Gabriele Farina
-[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 2D stochastic wave equation driven by a Gaussian noise, which is temporally white and spatially colored described by the Riesz kernel. Our first main result is the functional central limit theorem for the spatial average of the solution. And we also establish a quantitative central limit theorem for the marginal and the rate of convergence is described by the total-variation distance. A fundamental ingredient in our proofs is the pointwise $L^p$-estimate of Malliavin derivative, which is of independent interest.'
author:
- 'Raul Bola\~ nos Guerrero'
- David Nualart
- Guangqu Zheng
title: Averaging 2d stochastic wave equation
---
[^1]
[^2]
[*Department of Mathematics, University of Kansas*]{}
[**Mathematics Subject Classifications (2010)**]{}: 60H15, 60H07, 60G15, 60F05.
[**Keywords:**]{} Stochastic wave equation, Riesz kernel, central limit theorem, Malliavin-Stein method.
Introduction
============
We consider the 2D stochastic wave equation $$\label{2dSWE}
\frac{\partial^2 u}{\partial t^2} = \Delta u + \sigma(u) \dot{W},$$ on ${\mathbb R}_+\times {\mathbb R}^2$, where $\Delta$ is Laplacian in space variables and | ---
abstract: 'We consider a 2D stochastic wave equation driven by a Gaussian noise, which is temporally white and spatially colored described by the Riesz kernel. Our first main result is the functional central limit theorem for the spatial average of the solution. And we also establish a quantitative central limit theorem for the marginal and the rate of convergence is described by the total-variation distance. A fundamental ingredient in our proofs is the pointwise $L^p$-estimate of Malliavin derivative, which is of independent interest.'
author:
- 'Raul Bola\~ nos Guerrero'
- David Nualart
- Guangqu Zheng
title: Averaging 2d stochastic wave equation
---
[^1]
[^2]
[*Department of Mathematics, University of Kansas*]{}
[**Mathematics Subject Classifications (2010)**]{}: 60H15, 60H07, 60G15, 60F05.
[**Keywords:**]{} Stochastic wave equation, Riesz kernel, central limit theorem, Malliavin-Stein method.
Introduction
============
We consider the 2D stochastic wave equation $$\label{2dSWE}
\frac{\partial^2 u}{\partial t^2} = \Delta u + \sigma(u) \dot{W},$$ on ${\mathbb R}_+\times {\mathbb R}^2$, where $\Delta$ is Laplacian in space variables 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: |
Main results of the paper:
\(1) For any finite metric space $M$ the Lipschitz free space on $M$ contains a large well-complemented subspace which is close to $\ell_1^n$.
\(2) Lipschitz free spaces on large classes of recursively defined sequences of graphs are not uniformly isomorphic to $\ell_1^n$ of the corresponding dimensions. These classes contain well-known families of diamond graphs and Laakso graphs.
Interesting features of our approach are: (a) We consider averages over groups of cycle-preserving bijections of graphs which are not necessarily graph automorphisms; (b) In the case of such recursive families of graphs as Laakso graphs we use the well-known approach of Grünbaum (1960) and Rudin (1962) for estimating projection constants in the case where invariant projections are not unique.
author:
- 'Stephen J. Dilworth, Denka Kutzarova, and Mikhail I. Ostrovskii'
title: Lipschitz free spaces on finite | ---
abstract: |
Main results of the paper:
\(1) For any finite metric space $M$ the Lipschitz free space on $M$ contains a large well-complemented subspace which is close to $\ell_1^n$.
\(2) Lipschitz free spaces on large classes of recursively defined sequences of graphs are not uniformly isomorphic to $\ell_1^n$ of the corresponding dimensions. These classes contain well-known families of diamond graphs and Laakso graphs.
Interesting features of our approach are: (a) We consider averages over groups of cycle-preserving bijections of graphs which are not necessarily graph automorphisms; (b) In the case of such recursive families of graphs as Laakso graphs we use the well-known approach of Grünbaum (1960) and Rudin (1962) for estimating projection constants in the case where invariant projections are not unique.
author:
- 'Stephen J. Dilworth, Denka Kutzarova, and Mikhail I. Ostrovskii'
title: Lipschitz free spaces on finite[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 demonstrate efficient generation of collinearly propagating, highly nondegenerate photon pairs in a periodically-poled lithium niobate cw parametric downconverter with an inferred pair generation rate of $1.4\times 10^7$/s/mW of pump power. Detection of an 800-nm signal photon triggers a thermoelectrically-cooled 20%-efficient InGaAs avalanche photodiode for the detection of the 1600-nm conjugate idler photon. Using single-mode fibers as spatial mode filters, we obtain a signal-conditioned idler-detection probability of $\sim$3.1%.'
author:
- 'Elliott J. Mason, Marius A. Albota, Friedrich König, and Franco N. C. Wong'
title: 'Efficient generation of tunable photon pairs at 0.8 and 1.6 $\mu$m'
---
Efficient generation of entangled photons is essential for realizing practical quantum information processing applications such as quantum cryptography and quantum teleportation. Entangled photons are routinely generated by spontaneous parametric downconversion (SPDC) in a nonlinear crystal [@Kwiat95]. More recently, nonlinear waveguides have been used for photon pair generation with high efficiency [@Gisin; @Sanaka; @Walmsley] and better control of the | ---
abstract: 'We demonstrate efficient generation of collinearly propagating, highly nondegenerate photon pairs in a periodically-poled lithium niobate cw parametric downconverter with an inferred pair generation rate of $1.4\times 10^7$/s/mW of pump power. Detection of an 800-nm signal photon triggers a thermoelectrically-cooled 20%-efficient InGaAs avalanche photodiode for the detection of the 1600-nm conjugate idler photon. Using single-mode fibers as spatial mode filters, we obtain a signal-conditioned idler-detection probability of $\sim$3.1%.'
author:
- 'Elliott J. Mason, Marius A. Albota, Friedrich König, and Franco N. C. Wong'
title: 'Efficient generation of tunable photon pairs at 0.8 and 1.6 $\mu$m'
---
Efficient generation of entangled photons is essential for realizing practical quantum information processing applications such as quantum cryptography and quantum teleportation. Entangled photons are routinely generated by spontaneous parametric downconversion (SPDC) in a nonlinear crystal [@Kwiat95]. More recently, nonlinear waveguides have been used for photon pair generation with high efficiency [@Gisin; @Sanaka; @Walmsley] and better control of 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:
- David Merritt
title: ELLIPTICAL GALAXY DYNAMICS
---
\#1\#2[3.6pt]{}
1.truein
INTRODUCTION
============
Hubble (1936) divided the “regular nebulae” into two classes, the spirals and the ellipticals, defining the latter as “highly concentrated and \[showing\] no indications of resolution into stars.” He emphasized the featureless appearance of most “elliptical nebulae” and noted that only two of their characteristics were useful for further classification: the shapes of their isophotal contours; and their luminosity gradients. The latter were difficult to measure quantitatively at the time, and Hubble based his classification scheme entirely on the ellipticity $(a-b)/a$, with $a$ and $b$ the major and minor axis lengths. Hubble understood that the observed ellipticity was only a lower limit to the true elongation due to the unknown orientation of a galaxy’s “polar axis;” he called this uncertainty “serious, but unavoidable.” Nevertheless he was able to compute an estimate of the frequency function of intrinsic shapes by assuming that elliptical galaxies were oblate | ---
author:
- David Merritt
title: ELLIPTICAL GALAXY DYNAMICS
---
\#1\#2[3.6pt]{}
1.truein
INTRODUCTION
============
Hubble (1936) divided the “regular nebulae” into two classes, the spirals and the ellipticals, defining the latter as “highly concentrated and \[showing\] no indications of resolution into stars.” He emphasized the featureless appearance of most “elliptical nebulae” and noted that only two of their characteristics were useful for further classification: the shapes of their isophotal contours; and their luminosity gradients. The latter were difficult to measure quantitatively at the time, and Hubble based his classification scheme entirely on the ellipticity $(a-b)/a$, with $a$ and $b$ the major and minor axis lengths. Hubble understood that the observed ellipticity was only a lower limit to the true elongation due to the unknown orientation of a galaxy’s “polar axis;” he called this uncertainty “serious, but unavoidable.” Nevertheless he was able to compute an estimate of the frequency function of intrinsic shapes by assuming that elliptical galaxies were oblate[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 comprehensive study of voids formation, nucleation and growth in a prototype model of binary alloys subjected to irradiation by using a combined approach based on phase field and rate theories. It is shown that voids formation is caused by interaction of irradiation-produced vacancies through elastic deformation of a lattice and vacancy coupling with composition field of the alloy. Phase diagrams illustrating the formation of states related to solid solution, phase decomposition, and patterning are obtained. Formation of voids from supersaturated ensemble of vacancies is accompanied by composition rearrangement of alloy components. It was found that elastic inhomogeneity leading to the formation of anisotropic precipitates in an initially prepared binary alloy results in the formation of a void super-lattice under irradiation. It was shown that voids nucleate and grow with dose according to diffusion controlled precipitation processes, where universal dynamics of voids growth | ---
abstract:
- |
We present a comprehensive study of voids formation, nucleation and growth in a prototype model of binary alloys subjected to irradiation by using a combined approach based on phase field and rate theories. It is shown that voids formation is caused by interaction of irradiation-produced vacancies through elastic deformation of a lattice and vacancy coupling with composition field of the alloy. Phase diagrams illustrating the formation of states related to solid solution, phase decomposition, and patterning are obtained. Formation of voids from supersaturated ensemble of vacancies is accompanied by composition rearrangement of alloy components. It was found that elastic inhomogeneity leading to the formation of anisotropic precipitates in an initially prepared binary alloy results in the formation of a void super-lattice under irradiation. It was shown that voids nucleate and grow with dose according to diffusion controlled precipitation processes, where universal dynamics of voids growth[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] |
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abstract: 'We have theoretically studied the collective modes of a quasi two-dimensional (Q2D) Bose condensate in the large gas parameter regime by using a formalism which treats the interaction energy beyond the mean-field approximation. In the calculation we use the perturbative expansion for the interaction energy by incorporating the Lee, Huang and Yang ( LHY) correction term. The results show that incorporation of this higher order term leads to detectable modifications in the mode frequencies.'
author:
- S R Mishra
- S P Ram
- Arup Banerjee
title: 'Collective modes of a quasi two-dimensional Bose condensate in large gas parameter regime'
---
Introduction {#intro}
============
Bose-Einstein Condensation (BEC) of dilute atomic gases has been achieved in a variety of atomic samples using different magnetic and optical traps [@cornell; @ketterle; @hulet_1995; @hulet_1997; @cennini]. These advances have resulted in a investigations of properties of these ultra-cold gases in different conditions. At present, there is considerable interest in BEC in low dimensions | ---
abstract: 'We have theoretically studied the collective modes of a quasi two-dimensional (Q2D) Bose condensate in the large gas parameter regime by using a formalism which treats the interaction energy beyond the mean-field approximation. In the calculation we use the perturbative expansion for the interaction energy by incorporating the Lee, Huang and Yang ( LHY) correction term. The results show that incorporation of this higher order term leads to detectable modifications in the mode frequencies.'
author:
- S R Mishra
- S P Ram
- Arup Banerjee
title: 'Collective modes of a quasi two-dimensional Bose condensate in large gas parameter regime'
---
Introduction {#intro}
============
Bose-Einstein Condensation (BEC) of dilute atomic gases has been achieved in a variety of atomic samples using different magnetic and optical traps [@cornell; @ketterle; @hulet_1995; @hulet_1997; @cennini]. These advances have resulted in a investigations of properties of these ultra-cold gases in different conditions. At present, there is considerable interest in BEC in low dimensions[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 signature of the Lund-Regge metric on spaces of simplicial three-geometries which are important in some formulations of quantum gravity. Tetrahedra can be joined together to make a three-dimensional piecewise linear manifold. A metric on this manifold is specified by assigning a flat metric to the interior of the tetrahedra and values to their squared edge-lengths. The subset of the space of squared edge-lengths obeying triangle and analogous inequalities is simplicial configuration space. We derive the Lund-Regge metric on simplicial configuration space and show how it provides the shortest distance between simplicial three-geometries among all choices of gauge inside the simplices for defining this metric (Regge gauge freedom). We show analytically that there is always at least one physical timelike direction in simplicial configuration space and provide a lower bound on the number of spacelike directions. We show that in the neighborhood of points in this space | ---
abstract: 'We investigate the signature of the Lund-Regge metric on spaces of simplicial three-geometries which are important in some formulations of quantum gravity. Tetrahedra can be joined together to make a three-dimensional piecewise linear manifold. A metric on this manifold is specified by assigning a flat metric to the interior of the tetrahedra and values to their squared edge-lengths. The subset of the space of squared edge-lengths obeying triangle and analogous inequalities is simplicial configuration space. We derive the Lund-Regge metric on simplicial configuration space and show how it provides the shortest distance between simplicial three-geometries among all choices of gauge inside the simplices for defining this metric (Regge gauge freedom). We show analytically that there is always at least one physical timelike direction in simplicial configuration space and provide a lower bound on the number of spacelike directions. We show that in the neighborhood of points in this space[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 obtain a necessary and sufficient condition for the existence of equivariant real structures on complex symmetric spaces for semisimple groups and discuss how to determine the number of equivalence classes for such structures.'
address:
- 'Institut de Mathématiques de Bourgogne, UMR 5584 CNRS, Université Bourgogne Franche-Comté, F-21000 Dijon, France'
- 'Institut de Mathématiques de Bourgogne, UMR 5584 CNRS, Université Bourgogne Franche-Comté, F-21000 Dijon, France'
author:
- 'Lucy Moser-Jauslin and Ronan Terpereau'
title: Real structures on symmetric spaces
---
Introduction {#introduction .unnumbered}
============
A (complex algebraic) *symmetric space* is a complex algebraic $G$-variety $X=G/H$, where $G$ is a complex reductive algebraic group, $\theta \in \operatorname{Aut}_{\mathbb{C}}(G)$ is a non-trivial group involution, and $H \subseteq G$ is a subgroup such that $G^\theta \subseteq H \subseteq N_G(G^\theta)$. The historical motivation for the study of symmetric spaces comes from the *Riemannian symmetric spaces* (see [@Hel78] for an exposition); those arise in a wide range of situations in both mathematics and physics, and local | ---
abstract: 'We obtain a necessary and sufficient condition for the existence of equivariant real structures on complex symmetric spaces for semisimple groups and discuss how to determine the number of equivalence classes for such structures.'
address:
- 'Institut de Mathématiques de Bourgogne, UMR 5584 CNRS, Université Bourgogne Franche-Comté, F-21000 Dijon, France'
- 'Institut de Mathématiques de Bourgogne, UMR 5584 CNRS, Université Bourgogne Franche-Comté, F-21000 Dijon, France'
author:
- 'Lucy Moser-Jauslin and Ronan Terpereau'
title: Real structures on symmetric spaces
---
Introduction {#introduction .unnumbered}
============
A (complex algebraic) *symmetric space* is a complex algebraic $G$-variety $X=G/H$, where $G$ is a complex reductive algebraic group, $\theta \in \operatorname{Aut}_{\mathbb{C}}(G)$ is a non-trivial group involution, and $H \subseteq G$ is a subgroup such that $G^\theta \subseteq H \subseteq N_G(G^\theta)$. The historical motivation for the study of symmetric spaces comes from the *Riemannian symmetric spaces* (see [@Hel78] for an exposition); those arise in a wide range of situations in both mathematics and physics, and local[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 are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell’s system, in the full space $\Omega ={{\mathbb R}}^{3}$, without boundary conditions. We shall distinguish between two cases: constant coefficient case, and non coefficient-scalar case. In the two cases we give the behaviour of the H-measures associated to this system.'
address: |
Université d’Orléans\
MAPMO-UMR 6628, BP 6759\
45067 ORLEANS CEDEX-France\
hassan.taha@labomath.univ-orleans.fr
author:
- Hassan TAHA
title: 'H-measures and system of Maxwell’s\'
---
Introduction
============
Herein, we are interested in the homogenization of energy like quantities in electromagnetism, and more particularly in Maxwell’s equations, without boundary conditions. We use the notion of H-measures, introduced by Gérard and Tartar [@Gér1], [@tar]. We prove a general propagation Theorem for H-measures associated to Maxwell’s system. This result, combined with the localisation property, is then used to | ---
abstract: 'We are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell’s system, in the full space $\Omega ={{\mathbb R}}^{3}$, without boundary conditions. We shall distinguish between two cases: constant coefficient case, and non coefficient-scalar case. In the two cases we give the behaviour of the H-measures associated to this system.'
address: |
Université d’Orléans\
MAPMO-UMR 6628, BP 6759\
45067 ORLEANS CEDEX-France\
hassan.taha@labomath.univ-orleans.fr
author:
- Hassan TAHA
title: 'H-measures and system of Maxwell’s\'
---
Introduction
============
Herein, we are interested in the homogenization of energy like quantities in electromagnetism, and more particularly in Maxwell’s equations, without boundary conditions. We use the notion of H-measures, introduced by Gérard and Tartar [@Gér1], [@tar]. We prove a general propagation Theorem for H-measures associated to Maxwell’s system. This result, combined with the localisation property, is then used 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] |