cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Fast Inverse Nonlinear Fourier Transform
Creators: name: Vaibhav, Vishal
Publisher: name: arXiv
Year: 2017
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics

description: This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU$(2)$-nonlinear Fourier transform (NFT). The theoretical underpinnings of this generalization of the conventional Fourier transform is quite well established in the Ablowitz-Kaup-Newell-Segur (AKNS) formalism; however, efficient numerical algorithms that could be employed in practical applications are still unavailable. In this paper, we present two fast inverse NFT algorithms with $O(KN+N\log^2N)$ complexity and a convergence rate of $O(N^{-2})$ where $N$ is the number of samples of the signal and $K$ is the number of eigenvalues. These algorithms are realized using a new fast layer-peeling (LP) scheme ($O(N\log^2N)$) together with a new fast Darboux transformation (FDT) algorithm ($O(KN+N\log^2N)$) previously developed by the author. The proposed fast inverse NFT algorithm proceeds in two steps: The first step involves computing the radiative part of the potential using the fast LP scheme for which the input is synthesized under the assumption that the radiative potential is nonlinearly bandlimited, i.e., the continuous spectrum has a compact support and the discrete spectrum is empty. The second step involves addition of bound states using the FDT algorithm. Finally, the performance of these algorithms is demonstrated through exhaustive numerical tests.
description: page limitation relaxed otherwise very few changes
Additional file 1: Table S1. of Associations between fatty acid oxidation, hepatic mitochondrial function, and plasma acylcarnitine levels in mice
Creators: name: Bjørndal, Bodil
name: Alterås, Eva
name: Lindquist, Carine
name: Svardal, Asbjørn
name: Skorve, Jon
name: Berge, Rolf
Publisher: name: figshare
Year: 2018
Subjects: subject: Biochemistry
subject: Medicine
subject: Genetics
subject: FOS: Biological sciences
subject: 59999 Environmental Sciences not elsewhere classified
subject: FOS: Earth and related environmental sciences
subject: 39999 Chemical Sciences not elsewhere classified
subject: FOS: Chemical sciences

description: Overview of results. (DOCX 101 kb)
Environment-induced uncertainties on moving mirrors in quantum critical theories via holography
Creators: name: Lee, Da-Shin
name: Yeh, Chen-Pin
Publisher: name: arXiv
Year: 2017
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: Environment effects on a $n$-dimensional mirror from the strongly coupled d-dimensional quantum critical fields with a dynamic exponent $z$ in weakly squeezed states are studied by the holographic approach. The dual description is a $n+1$-dimensional probe brane moving in the $d+1$-dimensional asymptotic Lifshitz geometry with gravitational wave perturbations. Using the holographic influence functional method, we find that the large coupling constant of the fields reduces the position uncertainty of the mirror, but enhances the momentum uncertainty. As such, the product of the position and momentum uncertainties is independent of the coupling constant. The proper choices of the phase of the squeezing parameter might reduce the uncertainties, nevertheless large values of its amplitude always lead to the larger uncertainties due to the fact that more quanta are excited as compared with the corresponding normal vacuum and thermal states. In the squeezed vacuum state, the position and momentum of the mirror gain maximum uncertainties from the field at the dynamic exponent $z=n+2$ when the same squeezed mode is considered. As for the squeezed thermal state, the contributions of thermal fluctuations to the uncertainties decrease as the temperature increases in the case $1n+2$ the contributions increase as the temperature increases. These results are in sharp contrast with those in the environments of the relativistic free field. Some possible observable effects are discussed.
description: This is the version (v2) published in the Annals of Physics
Finite orbits for nilpotent actions on the torus
Creators: name: Firmo, Sebastião
name: Ribón, Javier
Publisher: name: arXiv
Year: 2016
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 37E30, 37E45, 37A15, 37A05, 54H20, 55M20, 37C25

description: A homeomorphism of the $2$-torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove that a nilpotent group of $2$-torus diffeomorphims has finite orbits when the group has some element with Lefschetz number different from zero.
description: 15 pages
Two golden times in two-step contagion models
Creators: name: Choi, Wonjun
name: Lee, Deokjae
name: Kertész, J.
name: Kahng, Byungnam
Publisher: name: arXiv
Year: 2017
Subjects: subject: Populations and Evolution (q-bio.PE)
subject: Physics and Society (physics.soc-ph)
subject: FOS: Biological sciences
subject: FOS: Physical sciences

description: The two-step contagion model is a simple toy model for understanding pandemic outbreaks that occur in the real world. The model takes into account that a susceptible person either gets immediately infected or weakened when getting into contact with an infectious one. As the number of weakened people increases, they eventually can become infected in a short time period and a pandemic outbreak occurs. The time required to reach such a pandemic outbreak allows for intervention and is often called golden time. Understanding the size-dependence of the golden time is useful for controlling pandemic outbreak. Here we find that there exist two types of golden times in the two-step contagion model, which scale as $O(N^{1/3})$ and $O(N^ζ)$ with the system size $N$ on Erdős-Rényi networks, where the measured $ζ$ is slightly larger than $1/4$. They are distinguished by the initial number of infected nodes, $o(N)$ and $O(N)$, respectively. While the exponent $1/3$ of the $N$-dependence of the golden time is universal even in other models showing discontinuous transitions induced by cascading dynamics, the measured $ζ$ exponents are all close to $1/4$ but show model-dependence. It remains open whether or not $ζ$ reduces to $1/4$ in the asymptotically large-$N$ limit.
description: 11 pages, 8 figures
Finite dimensional groups of local diffeomorphisms
Creators: name: Ribón, Javier
Publisher: name: arXiv
Year: 2016
Subjects: subject: Dynamical Systems (math.DS)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics
subject: 32H50, 37C85 (Primary), 37F75, 20G20, 20F16 (Secondary)

description: We are interested in classifying groups of local biholomorphisms (or even formal diffeomorphisms) that can be endowed with a canonical structure of algebraic group up to add extra formal diffeomorphisms. We show that this is the case for virtually polycyclic subgroups and in particular finitely generated virtually nilpotent groups of local biholomorphisms. We provide several methods to identify this property and build examples. As a consequence we generalize results of Arnold, Seigal-Yakovenko and Binyamini on uniform estimates of local intersection multiplicities to bigger classes of groups, including for example virtually polycyclic groups.
description: 46 pages
A transportable 40Ca+ single-ion clock with $7.7\times 10^{-17}$ systematic uncertainty
Creators: name: Cao, Jian
name: Zhang, Ping
name: Shang, Junjuan
name: Cui, Kaifeng
name: Yuan, Jinbo
name: Chao, Sijia
name: Wang, Shaomao
name: Shu, Hualin
name: Huang, Xueren
Publisher: name: arXiv
Year: 2016
Subjects: subject: Atomic Physics (physics.atom-ph)
subject: FOS: Physical sciences

description: A transportable optical clock refer to the $4s^2S_{1/2}-3d^2D_{5/2}$ electric quadrupole transition at 729 nm of single $^{40}Ca^+$ trapped in mini Paul trap has been developed. The physical system of $^{40}Ca^+$ optical clock is re-engineered from a bulky and complex setup to an integration of two subsystems: a compact single ion unit including ion trapping and detection modules, and a compact laser unit including laser sources, beam distributor and frequency reference modules. Apart from the electronics, the whole equipment has been constructed within a volume of 0.54 $m^3$. The systematic fractional uncertainty has been evaluated to be $7.7\times 10^{-17}$, and the Allan deviation fits to be $2.3\times {10}^{-14}/\sqrtτ$ by clock self-comparison with a probe pulse time 20 ms.
Investigating Galactic supernova remnant candidates with LOFAR
Creators: name: Driessen, Laura N.
name: Domček, Vladimír
name: Vink, Jacco
name: Arias, Maria
name: Hessels, Jason W. T.
name: Gelfand, Joseph D.
Publisher: name: arXiv
Year: 2017
Subjects: subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences

description: We investigate six supernova remnant (SNR) candidates --- G51.21+0.11, G52.37-0.70, G53.07+0.49, G53.41+0.03, G53.84-0.75, and the possible shell around G54.1-0.3 --- in the Galactic Plane using newly acquired LOw-Frequency ARray (LOFAR) High-Band Antenna (HBA) observations, as well as archival Westerbork Synthesis Radio Telescope (WSRT) and Very Large Array Galactic Plane Survey (VGPS) mosaics. We find that G52.37-0.70, G53.84-0.75, and the possible shell around pulsar wind nebula G54.1+0.3 are unlikely to be SNRs, while G53.07+0.49 remains a candidate SNR. G51.21+0.11 has a spectral index of $α=-0.7\pm0.21$, but lacks X-ray observations and as such requires further investigation to confirm its nature. We confirm one candidate, G53.41+0.03, as a new SNR because it has a shell-like morphology, a radio spectral index of $α=-0.6\pm0.2$ and it has the X-ray spectral characteristics of a 1000-8000 year old SNR. The X-ray analysis was performed using archival XMM-Newton observations, which show that G53.41+0.03 has strong emission lines and is best characterized by a non-equilibrium ionization model, consistent with an SNR interpretation. Deep Arecibo radio telescope searches for a pulsar associated with G53.41+0.03 resulted in no detection, but place stringent upper limits on the flux density of such a source if it is beamed towards Earth.
description: 9 pages, 4 figures, 1 table
Evaluation of blackbody radiation shift with temperature associated fractional uncertainty at 10E-18 level for 40Ca+ ion optical clock
Creators: name: Zhang, Ping
name: Cao, Jian
name: Shu, Hua-lin
name: Yuan, Jin-bo
name: Shang, Juan-juan
name: Cui, Kai-feng
name: Chao, Si-jia
name: Wang, Shao-mao
name: Liu, Dao-xin
name: Huang, Xue-ren
Publisher: name: arXiv
Year: 2016
Subjects: subject: Atomic Physics (physics.atom-ph)
subject: FOS: Physical sciences

description: In this paper, blackbody radiation (BBR) temperature rise seen by the $^{40}$Ca$^+$ ion confined in a miniature Paul trap and its uncertainty have been evaluated via finite-element method (FEM) modelling. The FEM model was validated by comparing with thermal camera measurements, which were calibrated by PT1000 resistance thermometer, at several points on a dummy trap. The input modelling parameters were analyzed carefully in detail, and their contributions to the uncertainty of environment temperature were evaluated on the validated FEM model. The result shows that the temperature rise seen by $^{40}$Ca$^+$ ion is 1.72 K with an uncertainty of 0.46 K. It results in a contribution of 2.2 mHz to the systematic uncertainty of $^{40}$Ca$^+$ ion optical clock, corresponding to a fractional uncertainty 5.4$\times$10$^{-18}$. This is much smaller than the uncertainty caused by the BBR shift coefficient, which is evaluated to be 4.8 mHz and at 10$^{-17}$ level in fractional frequency units.
description: Submitted to Journal of Physics B
Promotion of increasing tableaux: frames and homomesies
Creators: name: Pechenik, Oliver
Publisher: name: arXiv
Year: 2017
Subjects: subject: Combinatorics (math.CO)
subject: FOS: Mathematics
subject: 05E18

description: A key fact about M.-P. Schützenberger's (1972) promotion operator on rectangular standard Young tableaux is that iterating promotion once per entry recovers the original tableau. For tableaux with strictly increasing rows and columns, H. Thomas and A. Yong (2009) introduced a theory of $K$-jeu de taquin with applications to $K$-theoretic Schubert calculus. The author (2014) studied a $K$-promotion operator $\mathcal{P}$ derived from this theory, but showed that the key fact does not generally extend to $K$-promotion of such increasing tableaux. Here we show that the key fact holds for labels on the boundary of the rectangle. That is, for $T$ a rectanglar increasing tableau with entries bounded by $q$, we have $\mathsf{Frame}(\mathcal{P}^q(T)) = \mathsf{Frame}(T)$, where $\mathsf{Frame}(U)$ denotes the restriction of $U$ to its first and last row and column. Using this fact, we obtain a family of homomesy results on the average value of certain statistics over $K$-promotion orbits, extending a $2$-row theorem of J. Bloom, D. Saracino, and the author (2016) to arbitrary rectangular shapes.
description: 12 pages
On convergence for graphexes
Creators: name: Janson, Svante
Publisher: name: arXiv
Year: 2017
Subjects: subject: Probability (math.PR)
subject: Combinatorics (math.CO)
subject: FOS: Mathematics

description: We study four different notions of convergence for graphexes, recently introduced by Borgs, Chayes, Cohn and Holden, and by Veitch and Roy. We give some properties of them and some relations between them. We also extend results by Veitch and Roy on convergence of empirical graphons.
description: 16 pages. To appear
Annihilating wild kernels
Creators: name: Nickel, Andreas
Publisher: name: arXiv
Year: 2017
Subjects: subject: Number Theory (math.NT)
subject: K-Theory and Homology (math.KT)
subject: FOS: Mathematics
subject: 11R42, 19F27, 11R70

description: Let $L/K$ be a finite Galois extension of number fields with Galois group $G$. Let $p$ be an odd prime and $r>1$ be an integer. Assuming a conjecture of Schneider, we formulate a conjecture that relates special values of equivariant Artin $L$-series at $s=r$ to the compact support cohomology of the étale $p$-adic sheaf $\mathbb Z_p(r)$. We show that our conjecture is essentially equivalent to the $p$-part of the equivariant Tamagawa number conjecture for the pair $(h^0(\mathrm{Spec}(L))(r), \mathbb Z[G])$. We derive from this explicit constraints on the Galois module structure of Banaszak's $p$-adic wild kernels.
description: 31 pages; v2 Example 7.5 and subsection 7.7 are new, some additional minor revisions
Mo3: a Modular Mobility Model for future generation mobile wireless networks
Creators: name: De Nardis, Luca
name: Di Benedetto, Maria-Gabriella
Publisher: name: arXiv
Year: 2017
Subjects: subject: Networking and Internet Architecture (cs.NI)
subject: FOS: Computer and information sciences

description: Mobility modeling in 5G and beyond 5G must address typical features such as time-varying correlation between mobility patterns of different nodes, and their variation ranging from macro-mobility (kilometer range) to micro-mobility (sub-meter range). Current models have strong limitations in doing so: the widely used reference-based models, such as the Reference Point Group Mobility (RPGM), lack flexibility and accuracy, while the more sophisticated rule-based (i.e. behavioral) models are complex to set-up and tune. This paper introduces a new rule-based Modular Mobility Model, named Mo3, that provides accuracy and flexibility on par with behavioral models, while preserving the intuitiveness of the reference-based approach, and is based on five rules: 1) Individual Mobility, 2) Correlated Mobility, 3) Collision Avoidance, 4) Obstacle Avoidance and 5) Upper Bounds Enforcement. Mo3 avoids introducing acceleration vectors to define rules, as behavioral models do, and this significantly reduces complexity. Rules are mapped one-to-one onto five modules, that can be independently enabled or replaced. Comparison of time-correlation features obtained with Mo3 vs. reference-based models, and in particular RPGM, in pure micro-mobility and mixed macro-mobility / micro-mobility scenarios, shows that Mo3 and RPGM generate mobility patterns with similar topological properties (intra-group and inter-group distances), but that Mo3 preserves a spatial correlation that is lost in RPGM - at no price in terms of complexity - making it suitable for adoption in 5G and beyond 5G.
description: 33 pages, 32 figures. Accepted for publication on IEEE Access
Principal bundle structure of matrix manifolds
Creators: name: Billaud-Friess, Marie
name: Falco, Antonio
name: Nouy, Anthony
Publisher: name: arXiv
Year: 2017
Subjects: subject: Differential Geometry (math.DG)
subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 15A03, 15A23, 55R10, 65F99

description: In this paper, we introduce a new geometric description of the manifolds of matrices of fixed rank. The starting point is a geometric description of the Grassmann manifold $\mathbb{G}_r(\mathbb{R}^k)$ of linear subspaces of dimension $r
Analytic Moduli of Plane Branches and Holomorphic Flows
Creators: name: Ayuso, Pedro Fortuny
name: Ribón, Javier
Publisher: name: arXiv
Year: 2017
Subjects: subject: Algebraic Geometry (math.AG)
subject: Complex Variables (math.CV)
subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 32S05, 32S65, 14H20, 32G13

description: We study the behaviour (in the infinitesimal neighbourhood of the singularity) of a singular plane branch under the action of holomorphic flows. The techniques we develop provide a new elementary, geometric and dynamical solution to Zariski's moduli problem for singular branches in $({\mathbb C}^{2},0)$. Furthermore, we study whether elements of the same class of analytic conjugacy are conjugated by a holomorphic flow; in particular we show that there exists an analytic class that is not complete: meaning that there are two elements of the class that are not analytically conjugated by a local diffeomorphism embedded in a one-parameter flow.
description: This version supersedes the previous one: the title has changed as a consequence of major improvements and new results. This work must be considered a joint work of both authors from now on
Pulsed Dynamical Decoupling for Fast and Robust Two-Qubit Gates on Trapped Ions
Creators: name: Arrazola, I.
name: Casanova, J.
name: Pedernales, J. S.
name: Wang, Z. -Y.
name: Solano, E.
name: Plenio, M. B.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: We propose a pulsed dynamical decoupling protocol as the generator of tunable, fast, and robust quantum phase gates between two microwave-driven trapped ion hyperfine qubits. The protocol consists of sequences of $π$-pulses acting on ions that are oriented along an externally applied magnetic field gradient. In contrast to existing approaches, in our design the two vibrational modes of the ion chain cooperate under the influence of the external microwave driving to achieve significantly increased gate speeds. Our scheme is robust against the dominant noise sources, which are errors on the magnetic field and microwave pulse intensities, as well as motional heating, predicting two-qubit gates with fidelities above $99.9\%$ in tens of microseconds.
description: 11 pages + Supplemental Material, (6 + 1 figures)
Effective suppression of parametric instabilities with decoupled broadband lasers in plasma
Creators: name: Zhao, Yao
name: Weng, Suming
name: Chen, Min
name: Zheng, Jun
name: Zhuo, Hongbin
name: Ren, Chuang
name: Sheng, Zhengming
name: Zhang, Jie
Publisher: name: arXiv
Year: 2017
Subjects: subject: Plasma Physics (physics.plasm-ph)
subject: FOS: Physical sciences

description: A theoretical analysis for the stimulated Raman scattering (SRS) instability driven by two laser beams with certain frequency difference is presented. It is found that strong coupling and enhanced SRS take place only when the unstable regions corresponding respectively to the two beams are overlapped in the wavenumber space. Hence a threshold of the beam frequency difference for their decoupling is found as a function of their intensity and plasma density. Based upon this, a strategy to suppress the SRS instability with decoupled broadband lasers (DBLs) is proposed. A DBL can be composed of tens or even hundreds of beamlets, where the beamlets are distributed uniformly in a broad spectrum range such as over 10\% of the central frequency. Decoupling among the beamlets is found due to the limited beamlet energy and suitable frequency difference between neighboring beamlets. Particle-in-cell simulations demonstrate that SRS can be almost completely suppressed with DBLs at the laser intensity $\sim10^{15}$ W/cm$^2$. Moreover, stimulated Brillouin scattering (SBS) will be suppressed simultaneously with DBLs as long as SRS is suppressed. DBLs can be attractive for driving inertial confined fusion.
description: 6 pages, 4 figures
Global fixed points for nilpotent actions on the torus
Creators: name: Firmo, Sebastião
name: Ribón, Javier
Publisher: name: arXiv
Year: 2017
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics

description: An isotopic to the identity map of the $2$-torus, that has zero rotation vector with respect to an invariant ergodic probability measure, has a fixed point by a theorem of Franks. We give a version of this result for nilpotent subgroups of isotopic to the identity diffeomorphisms of the $2$-torus. In such a context we guarantee the existence of global fixed points for nilpotent groups of irrotational diffeomorphisms. In particular we show that the derived group of a nilpotent group of isotopic to the identity diffeomorphisms of the $2$-torus has a global fixed point.
description: 30 pages
Stable manifolds of two-dimensional biholomorphisms asymptotic to formal curves
Creators: name: López-Hernanz, Lorena
name: Raissy, Jasmin
name: Ribón, Javier
name: Sanz-Sánchez, Fernando
Publisher: name: arXiv
Year: 2017
Subjects: subject: Dynamical Systems (math.DS)
subject: Complex Variables (math.CV)
subject: FOS: Mathematics

description: Let $F\in\mathrm{Diff}(\mathbb{C}^2,0)$ be a germ of a holomorphic diffeomorphism and let $Γ$ be an invariant formal curve of $F$. Assume that the restricted diffeomorphism $F|_Γ$ is either hyperbolic attracting or rationally neutral non-periodic (these are the conditions that the diffeomorphism $F|_Γ$ should satisfy, if $Γ$ were convergent, in order to have orbits converging to the origin). Then we prove that $F$ has finitely many stable manifolds, either open domains or parabolic curves, consisting of and containing all converging orbits asymptotic to $Γ$. Our results generalize to the case where $Γ$ is a formal periodic curve of $F$.
Quadrilaterals inscribed in convex curves
Creators: name: Matschke, Benjamin
Publisher: name: arXiv
Year: 2018
Subjects: subject: Metric Geometry (math.MG)
subject: Combinatorics (math.CO)
subject: FOS: Mathematics
subject: 53A04, 55M20, 55R80

description: We classify the set of quadrilaterals that can be inscribed in convex Jordan curves, in the continuous as well as in the smooth case. This answers a question of Makeev in the special case of convex curves. The difficulty of this problem comes from the fact that standard topological arguments to prove the existence of solutions do not apply here due to the lack of sufficient symmetry. Instead, the proof makes use of an area argument of Karasev and Tao, which we furthermore simplify and elaborate on. The continuous case requires an additional analysis of the singular points, and a small miracle, which then extends to show that the problems of inscribing isosceles trapezoids in smooth curves and in piecewise $C^1$ curves are equivalent.
description: 17 pages, 9 figures, accepted version. Section 5.3 is rewritten and combined with the recent result of Greene and Lobb [arXiv:2011.05216 [math.GT]]. Parts have been independently obtained by Akopyan and Avvakumov [arXiv:1712.10205 [math.MG]], see the footnote on page 1
BPS black hole horizons from massive IIA
Creators: name: Guarino, Adolfo
Publisher: name: arXiv
Year: 2017
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: The maximal four-dimensional supergravity with a dyonic ISO(7) gauging that arises from the reduction of massive IIA on a six-sphere has recently been shown to accommodate static BPS black holes with hyperbolic horizons. When restricted to the N=2 subsector that retains one vector multiplet and the universal hypermultiplet, the attractor mechanism was shown to fix both the vector charges and the scalar fields at the horizon to a unique configuration in terms of the gauging parameters. In order to assess the (non-)uniqueness of BPS black hole horizons from massive IIA, we extend the study of the attractor mechanism to other N=2 subsectors including additional matter multiplets. We note that, while extending the hypermultiplet sector does not modify the set of solutions to the attractor equations, the inclusion of additional vector multiplets results in new hyperbolic/spherical horizons containing free parameters. The model with three vector multiplets and the universal hypermultiplet, which is the massive IIA analogue of the STU-model from M-theory, may play a relevant role in massive IIA holography.
description: 18 pages, 2 figures. v2: typos fixed, notation and presentation improved, references added. v3: published version
Surface tension of the horizon
Creators: name: Shu, Liangsuo
name: Cui, Kaifeng
name: Liu, Xiaokang
name: Liu, Zhichun
name: Liu, Wei
Publisher: name: arXiv
Year: 2018
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: The idea of treating the horizon of a black hole as a stretched membrane with surface tension has a long history. In this work, we discuss the microscopic origin of the surface tension of the horizon in quantum pictures of spaces, which are Bose-Einstein condensates of gravitons. The horizon is a phase interface of gravitons, the surface tension of which is found to be a result of the difference in the strength of the interaction between the gravitons on its two sides. The gravitational source, such as a Schwarzschild black hole, creates a transitional zone by changing the energy and distribution of its surrounding gravitons. Archimedes' principle for gravity can be expressed as follows: "the gravity on an object is equal to the weight of the gravitons that it displaces."
description: 12 Pages, 1 figures
Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane
Creators: name: Guilloux, Antonin
name: Kim, Inkang
Publisher: name: arXiv
Year: 2018
Subjects: subject: Geometric Topology (math.GT)
subject: FOS: Mathematics
subject: 51M10

description: In this note, we study deformations of discrete and Zariski dense subgroups of SU(2, 1) in quaternionic hyperbolic space. Specifi- cally we consider two examples coming from representations of 3-manifold groups (the figure eight knot and Whitehead links complement) and show opposite behavior: one is not deformable outside U(2,1), while the other has a big space of deformations in Sp(2, 1).
description: V2: Some minor corrections
A Comparative Study of Certain Personality Characteristics of College Women Participating in Basketball and Modern Dance
Creators: name: Bird, Anne Marie
Publisher: name: Digital Repository at the University of Maryland
Year: 1965

description: Twenty-five college women attending the University of Maryland during the spring semester of 1963 were studied in an effort to determine whether or not there were any identifiable personality characteristics among those (14) who chose to participate in basketball, as compared to those (13) who chose to participate in modern dance. The subjects used in this study voluntarily chose the activity in which they participated. The California Psychological Inventory was used to evaluate the personality characteristics of the subjects. Analysis of the data showed that the basketball group scored significantly higher, at the 5 percent level of confidence, on the community scale. The modern dance group scored significantly higher, at the 5 percent level of confidence, on the scales measuring flexibility and femininity. A comparison of the group means for all other scales proved insignificant at the 5 percent level of confidence.
Cavity-enhanced optical readout of a single solid-state spin
Creators: name: Sun, Shuo
name: Kim, Hyochul
name: Solomon, Glenn S.
name: Waks, Edo
Publisher: name: arXiv
Year: 2017
Subjects: subject: Quantum Physics (quant-ph)
subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: FOS: Physical sciences

description: We demonstrate optical readout of a single electron spin using cavity quantum electrodynamics. The spin is trapped in a single quantum dot that is strongly coupled to a nanophotonic cavity. Selectively coupling one of the optical transitions of the quantum dot to the cavity mode results in a spin-dependent cavity reflectivity that enables projective spin measurements by monitoring the reflected intensity of an incident optical field. Using this approach, we demonstrate spin readout fidelity of 0.61 for a quantum dot that has a poor branching ratio of 0.43. Achieving this fidelity using resonance fluorescence from a bare dot would require 43 times improvement in photon collection efficiency.
A generalization of a theorem of Swan with applications to Iwasawa theory
Creators: name: Nickel, Andreas
Publisher: name: arXiv
Year: 2018
Subjects: subject: Number Theory (math.NT)
subject: Rings and Algebras (math.RA)
subject: FOS: Mathematics

description: Let $p$ be a prime and let $G$ be a finite group. By a celebrated theorem of Swan, two finitely generated projective $\mathbb Z_p[G]$-modules $P$ and $P'$ are isomorphic if and only if $\mathbb Q_p \otimes_{\mathbb Z_p} P$ and $\mathbb Q_p \otimes_{\mathbb Z_p} P'$ are isomorphic as $\mathbb Q_p[G]$-modules. We prove an Iwasawa-theoretic analogue of this result and apply this to the Iwasawa theory of local and global fields. We thereby determine the structure of natural Iwasawa modules up to (pseudo-)isomorphism.
description: 18 pages; minor changes since v2; title has changed slightly; to appear in Canad. J. Math
A real-time and unsupervised face Re-Identification system for Human-Robot Interaction
Creators: name: Wang, Yujiang
name: Shen, Jie
name: Petridis, Stavros
name: Pantic, Maja
Publisher: name: arXiv
Year: 2018
Subjects: subject: Computer Vision and Pattern Recognition (cs.CV)
subject: FOS: Computer and information sciences

description: In the context of Human-Robot Interaction (HRI), face Re-Identification (face Re-ID) aims to verify if certain detected faces have already been observed by robots. The ability of distinguishing between different users is crucial in social robots as it will enable the robot to tailor the interaction strategy toward the users' individual preferences. So far face recognition research has achieved great success, however little attention has been paid to the realistic applications of Face Re-ID in social robots. In this paper, we present an effective and unsupervised face Re-ID system which simultaneously re-identifies multiple faces for HRI. This Re-ID system employs Deep Convolutional Neural Networks to extract features, and an online clustering algorithm to determine the face's ID. Its performance is evaluated on two datasets: the TERESA video dataset collected by the TERESA robot, and the YouTube Face Dataset (YTF Dataset). We demonstrate that the optimised combination of techniques achieves an overall 93.55% accuracy on TERESA dataset and an overall 90.41% accuracy on YTF dataset. We have implemented the proposed method into a software module in the HCI^2 Framework for it to be further integrated into the TERESA robot, and has achieved real-time performance at 10~26 Frames per second.
description: Code implementation in Python is available at: https://github.com/ibug-group/face_reid
title: Les interventions infirmières préventives et éducatives dans le suivi post infarctus
title: Les interventions infirmières préventives et éducatives dans le suivi post infarctus
titleType: AlternativeTitle
Creators: name: Huguenin-Vuillemin, Charline
name: Marro, Megan
Publisher: name: Unknown
Year: 0
Subjects: subject: Infarctus

description: Les maladies cardiovasculaires sont la première cause de décès en Suisse avec 20’712 décès en 2016 (OFS, 2019). Avec l’évolution des soins et le temps d’hospitalisation réduit, la prévention secondaire et l’éducation thérapeutique sont peu réalisées par les professionnels de la santé. Par conséquent, un patient sur sept est réadmis dans les douze mois suivant un épisode de syndrome coronarien aigu pour une récidive de type cardiovasculaire (Keller, Barthassat, Scherrer-Burri, Lagger, & Carballo, 2008). Cette problématique nous a amenée à la question de recherche suivante : quel est le rôle éducatif et préventif des infirmières dans le suivi au moyen et long terme de la réadaptation cardiaque auprès des seniors ayant fait un infarctus, afin de réduire les récidives ?
Most Ligand-Based Classification Benchmarks Reward Memorization Rather than Generalization
Creators: name: Wallach, Izhar
name: Heifets, Abraham
Publisher: name: arXiv
Year: 2017
Subjects: subject: Quantitative Methods (q-bio.QM)
subject: Machine Learning (cs.LG)
subject: Machine Learning (stat.ML)
subject: FOS: Biological sciences
subject: FOS: Computer and information sciences

description: Undetected overfitting can occur when there are significant redundancies between training and validation data. We describe AVE, a new measure of training-validation redundancy for ligand-based classification problems that accounts for the similarity amongst inactive molecules as well as active. We investigated seven widely-used benchmarks for virtual screening and classification, and show that the amount of AVE bias strongly correlates with the performance of ligand-based predictive methods irrespective of the predicted property, chemical fingerprint, similarity measure, or previously-applied unbiasing techniques. Therefore, it may be that the previously-reported performance of most ligand-based methods can be explained by overfitting to benchmarks rather than good prospective accuracy.
Hilbert metric, beyond convexity
Creators: name: Falbel, Elisha
name: Guilloux, Antonin
name: Will, Pierre
Publisher: name: arXiv
Year: 2018
Subjects: subject: Metric Geometry (math.MG)
subject: FOS: Mathematics
subject: 53C60, 53A20

description: The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensively studied. We propose here a generalization of this metric to subset of complex projective spaces and give examples of applications to diverse fields. Basic examples include the classical Hilbert metric which coincides with the hyperbolic metric on real hyperbolic spaces as well as the complex hyperbolic metric on complex hyperbolic spaces.
title: Néonatologie, interventions infirmières afin de gérer les émotions des parents
title: Néonatologie, interventions infirmières afin de gérer les émotions des parents
titleType: AlternativeTitle
Creators: name: Künzler, Sarah
name: Rempp, Marine
Publisher: name: Unknown
Year: 0
Subjects: subject: Néonatologie
subject: Prématuré
subject: Accompagnement des parents

description: Les naissances prématurées représentent un enjeu important pour les équipes soignantes.Les avancées médicales permettent, aujourd’hui, la survie des prématurés de plus en plus jeunes et de nombreuses interventions sont mises en place pour leur développement. Nous,nous avons choisi de nous intéresser aux vécus des parents lors de l’hospitalisation de leur enfant ainsi que notre place, en tant que futures infirmières, dans la gestion de leurs émotions.
Derivation of a generalized Schrödinger equation for dark matter halos from the theory of scale relativity
Creators: name: Chavanis, Pierre-Henri
Publisher: name: arXiv
Year: 2017
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: Using Nottale's theory of scale relativity, we derive a generalized Schrödinger equation applying to dark matter halos. This equation involves a logarithmic nonlinearity associated with an effective temperature and a source of dissipation. Fundamentally, this wave equation arises from the nondifferentiability of the trajectories of the dark matter particles whose origin may be due to ordinary quantum mechanics, classical ergodic (or almost ergodic) chaos, or to the fractal nature of spacetime at the cosmic scale. The generalized Schrödinger equation involves a coefficient ${\cal D}$, possibly different from $\hbar/2m$, whose value for dark matter halos is ${\cal D}=1.02\times 10^{23}\, {\rm m^2/s}$. We suggest that the cold dark matter crisis may be solved by the fractal (nondifferentiable) structure of spacetime at the cosmic scale, or by the chaotic motion of the particles on a very long timescale, instead of ordinary quantum mechanics. The equilibrium states of the generalized Schrödinger equation correspond to configurations with a core-halo structure. The quantumlike potential generates a solitonic core that solves the cusp problem of the classical cold dark matter model. The logarithmic nonlinearity accounts for the presence of an isothermal halo that leads to flat rotation curves. The damping term ensures that the system relaxes towards an equilibrium state. This property is guaranteed by an $H$-theorem satisfied by a Boltzmann-like free energy functional. In our approach, the temperature and the friction arise from a single formalism. They correspond to the real and imaginary parts of the complex friction coefficient present in the scale covariant equation of dynamics that is at the basis of Nottale's theory of scale relativity.
title: Utilisation de tissus durant les menstruations par les adolescentes à Mangalore, Inde
title: Utilisation de tissus durant les menstruations par les adolescentes à Mangalore, Inde
titleType: AlternativeTitle
Creators: name: Dioguardi, Alessandra
name: Gottreux Barron, Vanessa Danae
Publisher: name: Unknown
Year: 0
Subjects: subject: Menstruation
subject: Hygiène
subject: Adolescentes
subject: Inde
subject: Santé communautaire

description: Le but de notre travail d’immersion communautaire est d’effectuer une recherche concernant les matériaux absorbants utilisés durant les menstruations à Mangalore en Inde, en tenant compte des déterminants non-biomédicaux de la santé, en utilisant une approche interculturelle à l’aide de la théorie infirmière de Leininger ainsi qu’en travaillant en collaboration interprofessionnelle avec deux étudiantes en médecine.
Optimizing Event Selection with the Random Grid Search
Creators: name: Bhat, Pushpalatha C.
name: Prosper, Harrison B.
name: Sekmen, Sezen
name: Stewart, Chip
Publisher: name: arXiv
Year: 2017
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: The random grid search (RGS) is a simple, but efficient, stochastic algorithm to find optimal cuts that was developed in the context of the search for the top quark at Fermilab in the mid-1990s. The algorithm, and associated code, have been enhanced recently with the introduction of two new cut types, one of which has been successfully used in searches for supersymmetry at the Large Hadron Collider. The RGS optimization algorithm is described along with the recent developments, which are illustrated with two examples from particle physics. One explores the optimization of the selection of vector boson fusion events in the four-lepton decay mode of the Higgs boson and the other optimizes SUSY searches using boosted objects and the razor variables.
description: 26 pages, 9 figures
The Hardness of Conditional Independence Testing and the Generalised Covariance Measure
Creators: name: Shah, Rajen D.
name: Peters, Jonas
Publisher: name: arXiv
Year: 2018
Subjects: subject: Statistics Theory (math.ST)
subject: FOS: Mathematics

description: It is a common saying that testing for conditional independence, i.e., testing whether whether two random vectors $X$ and $Y$ are independent, given $Z$, is a hard statistical problem if $Z$ is a continuous random variable (or vector). In this paper, we prove that conditional independence is indeed a particularly difficult hypothesis to test for. Valid statistical tests are required to have a size that is smaller than a predefined significance level, and different tests usually have power against a different class of alternatives. We prove that a valid test for conditional independence does not have power against any alternative. Given the non-existence of a uniformly valid conditional independence test, we argue that tests must be designed so their suitability for a particular problem may be judged easily. To address this need, we propose in the case where $X$ and $Y$ are univariate to nonlinearly regress $X$ on $Z$, and $Y$ on $Z$ and then compute a test statistic based on the sample covariance between the residuals, which we call the generalised covariance measure (GCM). We prove that validity of this form of test relies almost entirely on the weak requirement that the regression procedures are able to estimate the conditional means $X$ given $Z$, and $Y$ given $Z$, at a slow rate. We extend the methodology to handle settings where $X$ and $Y$ may be multivariate or even high-dimensional. While our general procedure can be tailored to the setting at hand by combining it with any regression technique, we develop the theoretical guarantees for kernel ridge regression. A simulation study shows that the test based on GCM is competitive with state of the art conditional independence tests. Code is available as the R package GeneralisedCovarianceMeasure on CRAN.
description: A proof of Lemma 31 has been added. The earlier (and published) version referenced a book for this proof, but it was subsequently discovered that the statement in the book was incorrect
Quantitative estimate of propagation of chaos for stochastic systems with $W^{-1, \infty}$ kernels
Creators: name: Jabin, Pierre-Emmanuel
name: Wang, Zhenfu
Publisher: name: arXiv
Year: 2017
Subjects: subject: Analysis of PDEs (math.AP)
subject: Mathematical Physics (math-ph)
subject: FOS: Mathematics
subject: FOS: Physical sciences

description: We derive quantitative estimates proving the propagation of chaos for large stochastic systems of interacting particles. We obtain explicit bounds on the relative entropy between the joint law of the particles and the tensorized law at the limit. We have to develop for this new laws of large numbers at the exponential scale. But our result only requires very weak regularity on the interaction kernel in the negative Sobolev space $\dot W^{-1,\infty}$, thus including the Biot-Savart law and the point vortices dynamics for the 2d incompressible Navier-Stokes.
description: 59 pages
Unique rectification in $d$-complete posets: towards the $K$-theory of Kac-Moody flag varieties
Creators: name: Ilango, Rahul
name: Pechenik, Oliver
name: Zlatin, Michael
Publisher: name: arXiv
Year: 2018
Subjects: subject: Combinatorics (math.CO)
subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics
subject: 05E15, 06A07, 14M15

description: The jeu-de-taquin-based Littlewood-Richardson rule of H. Thomas and A. Yong (2009) for minuscule varieties has been extended in two orthogonal directions, either enriching the cohomology theory or else expanding the family of varieties considered. In one direction, A. Buch and M. Samuel (2016) developed a combinatorial theory of "unique rectification targets" in minuscule posets to extend the Thomas-Yong rule from ordinary cohomology to $K$-theory. Separately, P.-E. Chaput and N. Perrin (2012) used the combinatorics of R. Proctor's "$d$-complete posets" to extend the Thomas-Yong rule from minuscule varieties to a broader class of Kac-Moody structure constants. We begin to address the unification of these theories. Our main result is the existence of unique rectification targets in a large class of $d$-complete posets. From this result, we obtain conjectural positive combinatorial formulas for certain $K$-theoretic Schubert structure constants in the Kac-Moody setting.
description: 34 pages, 5 figures
Speed and biases of Fourier-based pricing choices: A numerical analysis
Creators: name: Crisóstomo, Ricardo
Publisher: name: arXiv
Year: 2017
Subjects: subject: Computational Finance (q-fin.CP)
subject: FOS: Economics and business
subject: 30E10, 60H35, 65C20, 65T50

description: We compare the CPU effort and pricing biases of seven Fourier-based implementations. Our analyses show that truncation and discretization errors significantly increase as we move away from the Black-Scholes-Merton framework. We rank the speed and accuracy of the competing choices, showing which methods require smaller truncation ranges and which are the most efficient in terms of sampling densities. While all implementations converge well in the Bates jump-diffusion model, Attari's formula is the only Fourier-based method that does not blow up for any Variance Gamma parameter values. In terms of speed, the use of strike vector computations significantly improves the computational burden, rendering both fast Fourier transforms (FFT) and plain delta-probability decompositions inefficient. We conclude that the multi-strike version of the COS method is notably faster than any other implementation, whereas the strike-optimized Carr Madan's formula is simultaneously faster and more accurate than the FFT, thus questioning its use.
description: This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Computer Mathematics on 10 May 2017
Tensor-based numerical method for stochastic homogenisation
Creators: name: Ayoul-Guilmard, Quentin
name: Nouy, Anthony
name: Binetruy, Christophe
Publisher: name: arXiv
Year: 2018
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 15A69, 35B15, 35B27, 35R60, 65N30

description: This paper addresses the complexity reduction of stochastic homogenisation of a class of random materials for a stationary diffusion equation. A cost-efficient approximation of the correctors is built using a method designed to exploit quasi-periodicity. Accuracy and cost reduction are investigated for local perturbations or small transformations of periodic materials as well as for materials with no periodicity but a mesoscopic structure, for which the limitations of the method are shown. Finally, for materials outside the scope of this method, we propose to use the approximation of homogenised quantities as control variates for variance reduction of a more accurate and costly Monte Carlo estimator (using a multi-fidelity Monte Carlo method). The resulting cost reduction is illustrated in a numerical experiment with a control variate from weakly stochastic homogenisation for comparison, and the limits of this variance reduction technique are tested on materials without periodicity or mesoscopic structure.
Tropical curves, graph complexes, and top weight cohomology of M_g
Creators: name: Chan, Melody
name: Galatius, Soren
name: Payne, Sam
Publisher: name: arXiv
Year: 2018
Subjects: subject: Algebraic Geometry (math.AG)
subject: Algebraic Topology (math.AT)
subject: Geometric Topology (math.GT)
subject: FOS: Mathematics

description: We study the topology of a space parametrizing stable tropical curves of genus g with volume 1, showing that its reduced rational homology is canonically identified with both the top weight cohomology of M_g and also with the genus g part of the homology of Kontsevich's graph complex. Using a theorem of Willwacher relating this graph complex to the Grothendieck-Teichmueller Lie algebra, we deduce that H^{4g-6}(M_g;Q) is nonzero for g=3, g=5, and g at least 7. This disproves a recent conjecture of Church, Farb, and Putman as well as an older, more general conjecture of Kontsevich. We also give an independent proof of another theorem of Willwacher, that homology of the graph complex vanishes in negative degrees.
description: 31 pages. v2: streamlined exposition. Final version, to appear in J. Amer. Math. Soc