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Source: https://guidelines.gov/summaries/summary/50709/operative-fixation-of-rib-fractures-after-blunt-trauma-a-practice-management-guideline-from-the-eastern-association-for-the-surgery-of-trauma
National Guideline Clearinghouse
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Source: https://guidelines.gov/summaries/summary/50734/british-association-of-dermatologists-guidelines-for-the-management-of-contact-dermatitis-2017
Arxiv.org
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Using classical density functional theory (DFT) we calculate the density profile $\rho({\mathbf r})$ and local compressibility $\chi({\mathbf r})$ of a simple liquid solvent in which a pair of blocks with (microscopic) rectangular cross-section are immersed. We consider blocks that are solvophobic, solvophilic and also ones that have both solvophobic and solvophilic patches. Large values of $\chi({\mathbf r})$ correspond to regions in space where the liquid density is fluctuating most strongly....
Topics: Condensed Matter, Statistical Mechanics, Soft Condensed Matter
Source: http://arxiv.org/abs/1702.08278
Arxiv.org
by Julien Bringer; Herve Chabanne; Daniel Le Metayer; Roch Lescuyer
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This work aims to show the applicability, and how, of privacy by design approach to biometric systems and the benefit of using formal methods to this end. Starting from a general framework that has been introduced at STM in 2014, that enables to define privacy architectures and to formally reason about their properties, we explain how it can be adapted to biometrics. The choice of particular techniques and the role of the components (central server, secure module, biometric terminal, smart...
Topics: Logic in Computer Science, Cryptography and Security, Computing Research Repository
Source: http://arxiv.org/abs/1702.08301
Arxiv.org
by Giovanni De Filippis; Davide Palmieri; Leonardo Soria; Luigi Mangialardi
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Operational Modal Analysis (OMA) is a powerful tool, widely used in the fields of structural identification and health monitoring, and certainly eligible for identifying the real in-operation behaviour of vehicle systems. Several attempts can be found in the literature, for which the usage of algorithms based on the classical OMA formulation has been strained for the identification of passenger cars and industrial trucks. The interest is mainly focused on the assessment of suspension behaviour...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1702.08325
These lecture notes are concerned with the solvability of the second boundary value problem of the prescribed affine mean curvature equation and related regularity theory of the Monge-Amp\`ere and linearized Monge-Amp\`ere equations. The prescribed affine mean curvature equation is a fully nonlinear, fourth order, geometric partial differential equation of the following form $$\sum_{i, j=1}^n U^{ij}\frac{\partial^2}{\partial {x_i}\partial{x_j}}\left[(\det D^2 u)^{-\frac{n+1}{n+2}}\right]=f$$...
Topics: Differential Geometry, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.08366
Arxiv.org
by Maria Letizia Bertotti; Amit K Chattopadhyay; Giovanni Modanese
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In this article, we discuss a dynamical stochastic model that represents the time evolution of income distribution of a population, where the dynamics develop from an interplay of multiple economic exchanges in the presence of multiplicative noise. The model remit stretches beyond the conventional framework of a Langevin-type kinetic equation in that our model dynamics is self-consistently constrained by dynamical conservation laws emerging from population and wealth conservation. This model is...
Topics: Physics, Condensed Matter, Physics and Society, Quantitative Finance, Economics, Statistical...
Source: http://arxiv.org/abs/1702.08391
Arxiv.org
by O. N. Ghodsi; F. Torabi
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To analyze the property of nuclear matter in the 16O+208Pb collision system, the internuclear potential of the fusion reaction is calculated by using the Skyrme forces associated with an extensive nuclear matter incompressibility K range in the semiclassical energy density formalism. Comparison of the experimental fusion cross sections and those obtained by using potentials derived from different forces with various K values shows that the incompressibility of nuclear matter changes during the...
Topic: Nuclear Theory
Source: http://arxiv.org/abs/1702.08418
Arxiv.org
by Chen Meiri; Doron Puder; Dan Carmon
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The Markoff group of transformations is a group $\Gamma$ of affine integral morphisms, which is known to act transitively on the set of all positive integer solutions to the equation $x^{2}+y^{2}+z^{2}=xyz$. The fundamental strong approximation conjecture for the Markoff equation states that for every prime $p$, the group $\Gamma$ acts transitively on the set $X^{*}\left(p\right)$ of non-zero solutions to the same equation over $\mathbb{Z}/p\mathbb{Z}$. Recently, Bourgain, Gamburd and Sarnak...
Topics: Group Theory, Number Theory, Mathematics
Source: http://arxiv.org/abs/1702.08358
Arxiv.org
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The observational properties of Soft Gamma Repeaters and Ano\-malous X-ray Pulsars (SGR/AXP) indicate to necessity of the energy source different from a rotational energy of a neutron star. The model, where the source of the energy is connected with a magnetic field dissipation in a highly magnetized neutron star (magnetar) is analyzed. Some observational inconsistencies are indicated for this interpretation. The alternative energy source, connected with the nuclear energy of superheavy nuclei...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.08353
Arxiv.org
by Roscoe Bartlett; Irina Demeshko; Todd Gamblin; Glenn Hammond; Michael Heroux; Jeffrey Johnson; Alicia Klinvex; Xiaoye Li; Lois Curfman McInnes; J. David Moulton; Daniel Osei-Kuffuor; Jason Sarich; Barry Smith; Jim Willenbring; Ulrike Meier Yang
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Extreme-scale computational science increasingly demands multiscale and multiphysics formulations. Combining software developed by independent groups is imperative: no single team has resources for all predictive science and decision support capabilities. Scientific libraries provide high-quality, reusable software components for constructing applications with improved robustness and portability. However, without coordination, many libraries cannot be easily composed. Namespace collisions,...
Topics: Mathematical Software, Computing Research Repository
Source: http://arxiv.org/abs/1702.08425
Arxiv.org
by Aditya Grover; Stefano Ermon
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We propose a new approach for using unsupervised boosting to create an ensemble of generative models, where models are trained in sequence to correct earlier mistakes. Our meta-algorithmic framework can leverage any existing base learner that permits likelihood evaluation, including recent latent variable models. Further, our approach allows the ensemble to include discriminative models trained to distinguish real data from model-generated data. We show theoretical conditions under which...
Topics: Learning, Machine Learning, Statistics, Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1702.08484
Arxiv.org
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It is well established that the notion of min-entropy fails to satisfy the \emph{chain rule} of the form $H(X,Y) = H(X|Y)+H(Y)$, known for Shannon Entropy. Such a property would help to analyze how min-entropy is split among smaller blocks. Problems of this kind arise for example when constructing extractors and dispersers. We show that any sequence of variables exhibits a very strong strong block-source structure (conditional distributions of blocks are nearly flat) when we \emph{spoil few...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.08476
Arxiv.org
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Let $R$ be a commutative ring and $M$ be an $R$-module, and let $I(R)^*$ be the set of all non-trivial ideals of $R$. The $M$-intersection graph of ideals of $R$, denoted by $G_M(R)$, is a graph with the vertex set $I(R)^*$, and two distinct vertices $I$ and $J$ are adjacent if and only if $IM\cap JM\neq 0$. For every multiplication $R$-module $M$, the diameter and the girth of $G_M(R)$ are determined. Among other results, we prove that if $M$ is a faithful $R$-module and the clique number of...
Topics: Commutative Algebra, Mathematics
Source: http://arxiv.org/abs/1702.08525
Arxiv.org
by Caroline Chaux; Laurent Duval; Jean-Christophe Pesquet
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We propose a 2D generalization to the $M$-band case of the dual-tree decomposition structure (initially proposed by N. Kingsbury and further investigated by I. Selesnick) based on a Hilbert pair of wavelets. We particularly address (\textit{i}) the construction of the dual basis and (\textit{ii}) the resulting directional analysis. We also revisit the necessary pre-processing stage in the $M$-band case. While several reconstructions are possible because of the redundancy of the representation,...
Topics: Physics, Computer Vision and Pattern Recognition, Data Analysis, Statistics and Probability,...
Source: http://arxiv.org/abs/1702.08534
Arxiv.org
by Augusto Almeida Santos; Soummya Kar; José M. F. Moura; João Xavier
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We establish a functional weak law of large numbers for observable macroscopic state variables of interacting particle systems (e.g., voter and contact processes) over fast time-varying sparse random networks of interactions. We show that, as the number of agents $N$ grows large, the proportion of agents $\left(\overline{Y}_{k}^{N}(t)\right)$ at a certain state $k$ converges in distribution -- or, more precisely, weakly with respect to the uniform topology on the space of \emph{c\`adl\`ag}...
Topics: Probability, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1702.08447
For years security machine learning research has promised to obviate the need for signature based detection by automatically learning to detect indicators of attack. Unfortunately, this vision hasn't come to fruition: in fact, developing and maintaining today's security machine learning systems can require engineering resources that are comparable to that of signature-based detection systems, due in part to the need to develop and continuously tune the "features" these machine...
Topics: Learning, Cryptography and Security, Computing Research Repository
Source: http://arxiv.org/abs/1702.08568
Arxiv.org
by Benjamin Planche; Ziyan Wu; Kai Ma; Shanhui Sun; Stefan Kluckner; Terrence Chen; Andreas Hutter; Sergey Zakharov; Harald Kosch; Jan Ernst
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Recent progress in computer vision has been dominated by deep neural networks trained with large amount of labeled data. Collecting and annotating such datasets is however a tedious, and in some contexts impossible task; hence a recent surge in approaches that rely solely on synthetically generated data from 3D models for their training. For depth images however, the discrepancies with real scans noticeably affect the performance of such methods. In this paper, we propose an innovative...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1702.08558
Arxiv.org
by Anum Ali; Nuria González-Prelcic; Robert W. Heath
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Millimeter wave (mmWave) communication is one feasible solution for high data-rate applications like vehicular-to-everything communication and next generation cellular communication. Configuring mmWave links, which can be done through channel estimation or beam-selection, however, is a source of significant overhead. In this paper, we propose to use spatial information extracted at sub-6 GHz to help establish the mmWave link. First, we review the prior work on frequency dependent channel...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.08574
Arxiv.org
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This is the second part of our study of the Inertial Manifolds for 1D systems of reaction-diffusion-advection equations initiated in \cite{KZI} and it is devoted to the case of periodic boundary conditions. It is shown that, in contrast to the case of Dirichlet or Neumann boundary conditions, considered in the first part, Inertial Manifolds may not exist in the case of systems endowed by periodic boundary conditions. However, as also shown, inertial manifolds still exist in the case of scalar...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.08559
Arxiv.org
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Cosmic rays around the knee are generally believed to be of galactic origin. Observations on their energy spectrum and chemical composition are important for understanding the acceleration and propagation of these cosmic rays. In addition, it is required to clarify the transition from galactic to extragalactic sources. In this paper, results of recent experiments measuring around the knee will be reviewed along with the detection techniques. The results on the all-particle energy spectrum and...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.08743
Arxiv.org
by Pascal Chossat; Alexander Lohse; Olga Podvigina
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We study pseudo-simple heteroclinic cycles for a $\Gamma$-equivariant system in $R^4$ with finite $\Gamma\subset O(4)$, and their nearby dynamics. In particular, in a first step towards a full classification - analogous to that which exists already for the class of simple cycles - we identify all finite subgroups of $O(4)$ admitting pseudo-simple cycles. To this end we introduce a constructive method to build equivariant dynamical systems possessing a robust heteroclinic cycle. Extending a...
Topics: Chaotic Dynamics, Nonlinear Sciences, Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1702.08731
Arxiv.org
by Roxana Rădulescu; Peter Vrancx; Ann Nowé
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Congestion problems are omnipresent in today's complex networks and represent a challenge in many research domains. In the context of Multi-agent Reinforcement Learning (MARL), approaches like difference rewards and resource abstraction have shown promising results in tackling such problems. Resource abstraction was shown to be an ideal candidate for solving large-scale resource allocation problems in a fully decentralized manner. However, its performance and applicability strongly depends on...
Topics: Multiagent Systems, Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1702.08736
Arxiv.org
by Eyal Leviatan; Frank Pollmann; Jens H. Bardarson; Ehud Altman
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We study the dynamics of thermalization following a quantum quench using tensor-network methods. Contrary to the common belief that the rapid growth of entanglement and the resulting exponential growth of the bond dimension restricts simulations to short times, we demonstrate that the long time limit of local observables can be well captured using the time-dependent variational principle. This allows to extract transport coefficients such as the energy diffusion constant from simulations with...
Topics: Strongly Correlated Electrons, Quantum Gases, Statistical Mechanics, Condensed Matter, Quantum...
Source: http://arxiv.org/abs/1702.08894
Arxiv.org
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We give a fully explicit description of Lie algebra derivatives (generalizing raising and lowering operators) for representations of SL(3,R) in terms of a basis of Wigner functions. This basis is natural from the point of view of principal series representations, as well as computations in the analytic theory of automorphic forms (e.g., with Whittaker functions). The method is based on the Clebsch-Gordan multiplication rule for Wigner functions, and applies to other Lie groups whose maximal...
Topics: Number Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.08851
Arxiv.org
by Maarten Baes; Peter Camps; Dries Van De Putte
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Accurate and efficient methods to evaluate cosmological distances are an important tool in modern precision cosmology. In a flat $\Lambda$CDM cosmology, the luminosity distance can be expressed in terms of elliptic integrals. We derive an alternative and simple expression for the luminosity distance in a flat $\Lambda$CDM based on hypergeometric functions. Using a timing experiment we compare the computation time for the numerical evaluation of the various exact formulae, as well as for two...
Topics: Cosmology and Nongalactic Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1702.08860
Arxiv.org
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The model that fast radio bursts are caused by plunges of asteroids onto neutron stars can explain both repetitive and non-repetitive bursts. If a neutron star passes through an asteroid belt around another star, there would be a series of bursts caused by series of asteroid impacts. Moreover, the neutron star would cross the same belt repetitively if it is in a binary with the star hosting the asteroid belt, leading to a repeated series of bursts. I explore the properties of neutron star...
Topics: Solar and Stellar Astrophysics, Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.08876
Arxiv.org
by Giorgio Colangelo; Ferran Martin Ciurana; Lorena C. Bianchet; Robert J. Sewell; Morgan W. Mitchell
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We show how simultaneous, back-action evading tracking of non-commuting observables can be achieved in a widely-used sensing technology, atomic interferometry. Using high-dynamic-range dynamically-decoupled quantum non-demolition (QND) measurements on a precessing atomic spin ensemble, we track the collective spin angle and amplitude with negligible effects from back action, giving steady-state tracking sensitivity 2.9 dB beyond the standard quantum limit and 7.0 dB beyond Poisson statistics.
Topics: Atomic Physics, Physics, Quantum Physics
Source: http://arxiv.org/abs/1702.08888
Arxiv.org
by Mai Gehrke; Daniela Petrisan; Luca Reggio
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This paper contributes to the techniques of topo-algebraic recognition for languages beyond the regular setting as they relate to logic on words. In particular, we provide a general construction on recognisers corresponding to adding one layer of various kinds of quantifiers and prove a related Reutenauer-type theorem. Our main tools are codensity monads and duality theory. Our construction yields, in particular, a new characterisation of the profinite monad of the free S-semimodule monad for...
Topics: Logic, Category Theory, Computing Research Repository, Logic in Computer Science, Formal Languages...
Source: http://arxiv.org/abs/1702.08841
Arxiv.org
by Vitaly Feldman; Badih Ghazi
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Several well-studied models of access to data samples, including statistical queries, local differential privacy and low-communication algorithms rely on queries that provide information about a function of a single sample. (For example, a statistical query (SQ) gives an estimate of $Ex_{x \sim D}[q(x)]$ for any choice of the query function $q$ mapping $X$ to the reals, where $D$ is an unknown data distribution over $X$.) Yet some data analysis algorithms rely on properties of functions that...
Topics: Learning, Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1703.00066
Arxiv.org
by Toke Høiland-Jørgensen; Michał Kazior; Dave Täht; Per Hurtig; Anna Brunstrom
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With more devices connected, delays and jitter at the WiFi hop become more prevalent, and correct functioning during network congestion becomes more important. However, two important performance issues prevent modern WiFi from reaching its potential: Increased latency under load caused by excessive queueing (i.e. bufferbloat) and the 802.11 performance anomaly. To remedy these issues, we present a novel two-part solution: We design a new queueing scheme that eliminates bufferbloat in the...
Topics: Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1703.00064
Arxiv.org
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The metal-to-metal clearances of a steam turbine during full or part load operation are among the main drivers of efficiency. The requirement to add clearances is driven by a number of factors including the relative movements of the steam turbine shell and rotor during transient conditions such as startup and shutdown. This paper includes a description of a control algorithm to manage external heating blankets for the thermal control of the shell deflections during turbine shutdown. The...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1703.00079
Arxiv.org
by Réhan Noordally; Xavier Nicolay; Yassine Gangat; Pascal Anelli
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TCP is the protocol of transport the most used in the Internet and have a heavy-dependence on delay. Reunion Island have a specific Internet connection, based on main links to France, located 10.000 km away. As a result, the minimal delay between Reunion Island and France is around 180 ms. In this paper, we will study TCP traces collected in Reunion Island University. The goal is to determine the metrics to study the impacts of long delays on TCP performance.
Topics: Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1703.00170
Arxiv.org
by Igor Protasov; Taras Banakh; Ksenia Protasova
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We explore the Borel complexity of some basic families of subsets of a countable group (large, small, thin, sparse and other) defined by the size of their elements. Applying the obtained results to the Stone-\v{C}ech compactification $\beta G$ of $G$, we prove, in particular, that the closure of the minimal ideal of $\beta G$ is of type $F_{\sigma\delta}$.
Topics: General Topology, Mathematics
Source: http://arxiv.org/abs/1703.00174
Arxiv.org
by Ben Adcock; Anyi Bao; Undisclosed author; Akil Narayan
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The recovery of approximately sparse or compressible coefficients in a Polynomial Chaos Expansion is a common goal in modern parametric uncertainty quantification (UQ). However, relatively little effort in UQ has been directed toward theoretical and computational strategies for addressing the sparse corruptions problem, where a small number of measurements are highly corrupted. Such a situation has become pertinent today since modern computational frameworks are sufficiently complex with many...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.00135
Arxiv.org
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In this paper, we construct the additional symmetries of the fermionic $(2N,2M)$-Toda hierarchy basing on the generalization of the $N{=}(1|1)$ supersymmetric two dimensional Toda lattice hierarchy. These additional flows constitute a $w_{\infty}\times w_{\infty}$ Lie algebra. As a Bosonic reduction of the $N{=}(1|1)$ supersymmetric two dimensional Toda lattice hierarchy and the fermionic $(2N,2M)$-Toda hierarchy, we define a new extended fermionic $(2N,2M)$-Toda hierarchy which admits a...
Topics: Operator Algebras, Mathematical Physics, Nonlinear Sciences, High Energy Physics - Theory, Exactly...
Source: http://arxiv.org/abs/1703.00105
Arxiv.org
by Muharem Avdispahić
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Taking the Iwaniec explicit formula as a starting point, we give a short proof of a more precise $\frac{2}{3}$ bound for the exponent in the error term of the Gallagher-type prime geodesic theorem for the modular surface.
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1703.00165
Arxiv.org
by Johnathan Ross; Henrik Latter; Michael Tehranchi
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A long-standing puzzle in the study of black-hole accretion concerns the presence or not of thermal instability. Classical theory predicts the encircling accretion disk is unstable, as do some self-consistent MHD simulations of the flow. Yet observations of strongly accreting sources generally fail to exhibit cyclic or unstable dynamics on the expected timescales. This paper checks whether turbulent fluctuations impede thermal instability. It also asks if it makes sense to conduct linear...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1703.00211
Arxiv.org
by S. Patil; V. R. R. Medicherla; Khadiza Ali; R. S. Singh; P. Manfrinetti; F. Wrubl; S. K. Dhar; Kalobaran Maiti
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Pseudogap phase in superconductors continues to be an outstanding puzzle that differentiates unconventional superconductors from the conventional ones (BCS-superconductors). Employing high resolution photoemission spectroscopy on a highly dense conventional superconductor, MgB2, we discover an interesting scenario. While the spectral evolution close to the Fermi energy is commensurate to BCS descriptions as expected, the spectra in the wider energy range reveal emergence of a pseudogap much...
Topics: Condensed Matter, Superconductivity
Source: http://arxiv.org/abs/1703.00217
Arxiv.org
by Florian De Vuyst
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The Lagrange-Flux schemes are Eulerian finite volume schemes that make use of an approximate Riemann solver in Lagrangian description with particular upwind convective fluxes. They have been recently designed as variant formulations of Lagrange-remap schemes that provide better HPC performance on modern multicore processors, see~[De Vuyst et al., OGST 71(6), 2016]. Actually Lagrange-Flux schemes show several advantages compared to Lagrange-remap schemes, especially for multidimensional...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.00235
Arxiv.org
by Hacène Belbachir; Toufik Djellal; Jean-Gabriel Luque
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We focus on a family of equalities pioneered by Zhang and generalized by Zao and Wang and hence by Mansour which involves self convolution of generalized Fibonacci numbers. We show that all these formulas are nicely stated in only one equation involving a bivariate ordinary generating function and we give also a formula for the coefficients appearing in that context. As a consequence, we give the general forms for the equalities of Zhang, Zao-Wang and Mansour.
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1703.00323
Arxiv.org
by Ceyda Sanli; Anupam Mondal; Erik Cambria
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Linguistic relations in oral conversations present how opinions are constructed and developed in a restricted time. The relations bond ideas, arguments, thoughts, and feelings, re-shape them during a speech, and finally build knowledge out of all information provided in the conversation. Speakers share a common interest to discuss. It is expected that each speaker's reply includes duplicated forms of words from previous speakers. However, linguistic adaptation is observed and evolves in a more...
Topics: Artificial Intelligence, Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1703.00317
Arxiv.org
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The maximum magnetic moment to angular momentum conjecture, recently posed by Barrow \& Gibbons, is in tension with the generally accepted parameters of magnetars. According to the conjecture the dimensionless Schuster-Wilson-Blacket number, $c\mu/J\sqrt{G}$ where $\mu$ is the magnetic moment and $J$ is the angular momentum, should be of order unity. A resolution is to assume that not only the low-magnetic field magnetars, but all magnetars have their super-critical fields in the higher...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1703.00358
Arxiv.org
by Vladimir Petrov Kostov
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For the family of polynomials in one variable $P:=x^n+a_1x^{n-1}+\cdots +a_n$, $n\geq 4$, we consider its higher-order discriminant sets $\{ \tilde{D}_m=0\}$, where $\tilde{D}_m:=$Res$(P,P^{(m)})$, $m=2$, $\ldots$, $n-2$, and their projections in the spaces of the variables $a^k:=(a_1,\ldots ,a_{k-1},a_{k+1},\ldots ,a_n)$. Set $P^{(m)}:=\sum _{j=0}^{n-m}c_ja_jx^{n-m-j}$, $P_{m,k}:=c_kP-x^mP^{(m)}$. We show that Res$(\tilde{D}_m,\partial \tilde{D}_m/\partial a_k,a_k)= A_{m,k}B_{m,k}C_{m,k}^2$,...
Topics: Classical Analysis and ODEs, Mathematics
Source: http://arxiv.org/abs/1702.08216
Arxiv.org
by Bradley L. Rachlin; Thomas W. Kephart
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Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent anomalies. We minimize a number of Higgs potentials that break gauge groups to discrete symmetries of interest, and examine their scalar mass spectra.
Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1702.08073
Arxiv.org
by Volker Braun; Mirjam Cvetic; Ron Donagi; Maximilian Poretschkin
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We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based on a particular Calabi-Yau manifold, the quotient of a product of three elliptic curves by a fixed point free action of Z_2 x Z_2. Its cohomology contains torsion classes in various degrees. The main technical novelty is in determining the...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.08071
Arxiv.org
by Lou Zhao; Derrick Wing Kwan Ng; Jinhong Yuan
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In this paper, we develop a low-complexity channel estimation for hybrid millimeter wave (mmWave) systems, where the number of radio frequency (RF) chains is much less than the number of antennas equipped at each transceiver. The proposed channel estimation algorithm aims to estimate the strongest angle-of-arrivals (AoAs) at both the base station (BS) and the users. Then all the users transmit orthogonal pilot symbols to the BS via these estimated strongest AoAs to facilitate the channel...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.08130
Arxiv.org
by Holger R. Roth; Kai Nagara; Hirohisa Oda; Masahiro Oda; Tomoshi Sugiyama; Shota Nakamura; Kensaku Mori
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Computational anatomy allows the quantitative analysis of organs in medical images. However, most analysis is constrained to the millimeter scale because of the limited resolution of clinical computed tomography (CT). X-ray microtomography ($\mu$CT) on the other hand allows imaging of ex-vivo tissues at a resolution of tens of microns. In this work, we use clinical CT to image lung cancer patients before partial pneumonectomy (resection of pathological lung tissue). The resected specimen is...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1702.08155
Arxiv.org
by Ren-Cun Wu; Lei Tan; Wen-Xuan Zhang; Wu-Ming Liu
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The impacts that the environment has on the quantum phase transition of light in the DickeBose-Hubbard model are investigated. Based on the quasibosonic approach, mean field theory and the perturbation theory, the formulation of the Hamiltonian, the eigenenergies and the superfluid order parameter are obtained analytically. Compared with the ideal cases, the order parameter of the system evolves with time as the photons naturally decay in their environment. When the system starts with the...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1702.08131
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by Reuben Feinman; Ryan R. Curtin; Saurabh Shintre; Andrew B. Gardner
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Deep neural networks (DNNs) are powerful nonlinear architectures that are known to be robust to random perturbations of the input. However, these models are vulnerable to adversarial perturbations--small input changes crafted explicitly to fool the model. In this paper, we ask whether a DNN can distinguish adversarial samples from their normal and noisy counterparts. We investigate model confidence on adversarial samples by looking at Bayesian uncertainty estimates, available in dropout neural...
Topics: Learning, Machine Learning, Statistics, Computing Research Repository
Source: http://arxiv.org/abs/1703.00410
Arxiv.org
by David B Fisher; Karl Glazebrook; Roberto G. Abraham; Ivana Damjanov; Heidi White; Danail Obreschkow; Robert Basset; Georgios Bekiaris; Emily Wisnioski; Andy Green; Alberto D. Bolatto
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In this letter we study the mean sizes of Halpha clumps in turbulent disk galaxies relative to kinematics, gas fractions, and Toomre Q. We use 100~pc resolution HST images, IFU kinematics, and gas fractions of a sample of rare, nearby turbulent disks with properties closely matched to z~1.5-2 main-sequence galaxies (the DYNAMO sample). We find linear correlations of normalized mean clump sizes with both the gas fraction and the velocity dispersion-to-rotation velocity ratio of the host galaxy....
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1703.00458
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by Carlos A. Argüelles; Ali Kheirandish; Aaron C. Vincent
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We show that the high-energy cosmic neutrinos seen by the IceCube Neutrino Observatory can be used to probe interactions between neutrinos and the dark sector that cannot be reached by current cosmological probes. The origin of the observed neutrinos is still unknown, and their arrival directions are compatible with an isotropic distribution. This observation, together with dedicated studies of Galactic plane correlations, suggest a predominantly extragalactic origin. Interactions between this...
Topics: High Energy Physics - Phenomenology, Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1703.00451
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In this paper, we develop a new accelerated stochastic gradient method for efficiently solving the convex regularized empirical risk minimization problem in mini-batch settings. The use of mini-batches is becoming a golden standard in the machine learning community, because mini-batch settings stabilize the gradient estimate and can easily make good use of parallel computing. The core of our proposed method is the incorporation of our new "double acceleration" technique and variance...
Topics: Learning, Optimization and Control, Computing Research Repository, Machine Learning, Statistics,...
Source: http://arxiv.org/abs/1703.00439
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by George Georgiou; Eftychia Sagkrioti; Konstantinos Sfetsos; Konstantinos Siampos
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We study quantum aspects of the recently constructed doubly lambda-deformed sigma-models representing the effective action of two WZW models interacting via current bilinears. We show that although the exact beta-functions and current anomalous dimensions are identical to those of the lambda-deformed models, this is not true for the anomalous dimensions of generic primary field operators in accordance with the fact that the two models differ drastically. Our proofs involve CFT arguments, as...
Topics: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences, Exactly Solvable and...
Source: http://arxiv.org/abs/1703.00462
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by Konstantin A. Kouzakov; Alexander I. Studenikin
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A thorough account of electromagnetic interactions of massive neutrinos in the theoretical formulation of low-energy elastic neutrino-electron scattering is given. The formalism of neutrino charge, magnetic, electric, and anapole form factors defined as matrices in the mass basis is employed under the assumption of three-neutrino mixing. The flavor change of neutrinos arriving from the source to the detector is taken into account and the role of the source-detector distance is inspected. The...
Topics: High Energy Physics - Experiment, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.00401
Arxiv.org
by Helen Kirk; Michael M. Dunham; James Di Francesco; Doug Johnstone; Stella S. R. Offner; Sarah I. Sadavoy; John J. Tobin; Hector G. Arce; Tyler L. Bourke; Steve Mairs; Philip C. Myers; Jaime E. Pineda; Scott Schnee; Yancy L. Shirley
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Compact substructure is expected to arise in a starless core as mass becomes concentrated in the central region likely to form a protostar. Additionally, multiple peaks may form if fragmentation occurs. We present ALMA Cycle 2 observations of 60 starless and protostellar cores in the Ophiuchus molecular cloud. We detect eight compact substructures which are >15 arcsec from the nearest Spitzer YSO. Only one of these has strong evidence for being truly starless after considering ancillary...
Topics: Astrophysics of Galaxies, Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1703.00506
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Dark matter that possesses a particle-antiparticle asymmetry and has thermalised in the early universe, requires a larger annihilation cross-section compared to symmetric dark matter, in order to deplete the dark antiparticles and account for the observed dark matter density. The annihilation cross-section determines the residual symmetric component of dark matter, which may give rise to annihilation signals during CMB and inside haloes today. We consider dark matter with long-range...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.00478
Arxiv.org
by G. L. Roberts; M. Lucamarini; Z. L. Yuan; J. F. Dynes; L. C. Comandar; A. W. Sharpe; A. J. Shields; M. Curty; I. V. Puthoor; E. Andersson
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We propose and experimentally implement a novel reconfigurable quantum key distribution (QKD) scheme, where the users can switch in real time between conventional QKD and the recently-introduced measurement-device-independent (MDI) QKD. Through this setup, we demonstrate the distribution of quantum keys between three remote parties connected by only two quantum channels, a previously unattempted task. Moreover, as a prominent application, we extract the first quantum digital signature (QDS)...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1703.00493
Arxiv.org
by Jo Schlemper; Jose Caballero; Joseph V. Hajnal; Anthony Price; Daniel Rueckert
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The acquisition of Magnetic Resonance Imaging (MRI) is inherently slow. Inspired by recent advances in deep learning, we propose a framework for reconstructing MR images from undersampled data using a deep cascade of convolutional neural networks to accelerate the data acquisition process. We show that for Cartesian undersampling of 2D cardiac MR images, the proposed method outperforms the state-of-the-art compressed sensing approaches, such as dictionary learning-based MRI (DLMRI)...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1703.00555
Given a non-negative random variable $W$ and $\theta>0$, let the generalized Dickman transformation map the distribution of $W$ to that of $$ W^*=_d U^{1/\theta}(W+1), $$ where $U \sim {\cal U}[0,1]$, a uniformly distributed variable on the unit interval, independent of $W$, where $=_d$ denotes equality in distribution. It is well known that $W^*$ and $W$ are equal in distribution if and only if $W$ has the generalized Dickman distribution ${\cal D}_\theta$. By use of Stein's method, we...
Topics: Probability, Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.00505
Arxiv.org
by Andrew McCaleb Reach; Chris North
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Animation is ubiquitous in visualization systems, and a common technique for creating these animations is the transition. In the transition approach, animations are created by smoothly interpolating a visual attribute between a start and end value, reaching the end value after a specified duration. This approach works well when each transition for an attribute is allowed to finish before the next is triggered, but performs poorly when a new transition is triggered before the current transition...
Topics: Human-Computer Interaction, Computing Research Repository, Graphics
Source: http://arxiv.org/abs/1703.00521
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by Khanh Nguyen; Steven Murray; Jeffery A. Lewis; Pradeep Kumar
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High hydrostatic pressure is commonly encountered in many environments, but the effects of high pressure on eukaryotic cells have been understudied. To understand the effects of hydrostatic pressure in the model eukaryote, Saccharomyces cerevisiae, we have performed quantitative experiments of cell division, cell morphology, and cell death under a wide range of pressures. We developed an automated image analysis method for quantification of the yeast budding index - a measure of cell cycle...
Topics: Quantitative Methods, Quantitative Biology, Populations and Evolution, Cell Behavior
Source: http://arxiv.org/abs/1703.00547
Arxiv.org
by Thomas House
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A method for the introduction of second-order derivatives of the log likelihood into HMC algorithms is introduced, which does not require the Hessian to be evaluated at each leapfrog step but only at the start and end of trajectories.
Topics: Computation, Statistics
Source: http://arxiv.org/abs/1702.08251
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by Ozay Gurtug; M. Mangut
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Particle probe considered in the Kehagias - Sfetsos black hole of Ho\v{r}% ava-Lifshitz gravity by Gwak and Lee (JCAP, 1009: 031, 2010) is reconsidered within the framework of quantum mechanics. The timelike naked singularity that develops when $\omega M^{2}
Topic: General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1702.08220
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Scattertext is an open source tool for visualizing linguistic variation between document categories in a language-independent way. The tool presents a scatterplot, where each axis corresponds to the rank-frequency a term occurs in a category of documents. Through a tie-breaking strategy, the tool is able to display thousands of visible term-representing points and find space to legibly label hundreds of them. Scattertext also lends itself to a query-based visualization of how the use of terms...
Topics: Information Retrieval, Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1703.00565
Arxiv.org
by C. R. Subrahmanya; P. K. Manoharan; Jayaram. N. Chengalur
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We describe here an ongoing upgrade to the legacy Ooty Radio Telescope (ORT).The ORT is a cylindrical parabolic cylinder 530mx30m in size operating at a frequency of 326.5 (or z ~ 3.35 for the HI 21cm line). The telescope has been constructed on a north-south hill slope whose gradient is equal to the latitude of the hill, making it effectively equitorially mounted. The feed consists of an array of 1056 dipoles. The key feature of this upgrade is the digitisation and cross-correlation of the...
Topics: Cosmology and Nongalactic Astrophysics, Instrumentation and Methods for Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1703.00621
Arxiv.org
by Ali Ghadirzadeh; Atsuto Maki; Danica Kragic; Mårten Björkman
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Skilled robot task learning is best implemented by predictive action policies due to the inherent latency of sensorimotor processes. However, training such predictive policies is challenging as it involves finding a trajectory of motor activations for the full duration of the action. We propose a data-efficient deep predictive policy training (DPPT) framework with a deep neural network policy architecture which maps an image observation to a sequence of motor activations. The architecture...
Topics: Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1703.00727
Arxiv.org
by José Gómez-Torrecillas; F. J. Lobillo; Gabriel Navarro
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We design a non-commutative version of the Peterson-Gorenstein-Zierler decoding algorithm for a class of codes that we call skew RS codes. These codes are left ideals of a quotient of a skew polynomial ring, which endow them of a sort of non-commutative cyclic structure. Since we work over an arbitrary field, our techniques may be applied both to linear block codes and convolutional codes. In particular, our decoding algorithm applies for block codes beyond the classical cyclic case.
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.00745
Arxiv.org
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Online communities are changing the ways that creative professionals such as artists and designers share ideas, receive feedback, and find inspiration. While they became increasingly popular, there have been few studies so far. In this paper, we investigate Behance, an online community site for creatives to maintain relationships with others and showcase their works from various fields such as graphic design, illustration, photography, and fashion. We take a quantitative approach to study three...
Topics: Computing Research Repository, Social and Information Networks
Source: http://arxiv.org/abs/1703.00800
Arxiv.org
by Monireh Sedghi; Kamal Bahmanpour; Reza Naghipour
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Let $\frak a$ denote an ideal in a regular local (Noetherian) ring $R$ and let $N$ be a finitely generated $R$-module with support in $V(\frak a)$. The purpose of this paper is to show that all homomorphic images of the $R$-modules $\Ext^j_R(N, H^i_{\frak a}(R))$ have only finitely many associated primes, for all $i, j\geq 0$, whenever $\dim R \leq4$ or $\dim R/ \frak a \leq 3$ and $R$ contains a field. In addition, we show that if $\dim R=5$ and $R$ contains a field, then the $R$-modules...
Topics: Commutative Algebra, Mathematics
Source: http://arxiv.org/abs/1703.00756
Arxiv.org
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For the quantum kinetic system modelling the Bose-Einstein Condensate that accounts for interactions between condensate and excited atoms, we use the Chapman-Enskog expansion to derive its hydrodynamic approximations, include both Euler and Navier-Stokes approximations. The hydrodynamic approximations describe not only the macroscopic behavior of the BEC but also its coupling with the non-condensates, which agrees with Landau's two fluid theory.
Topics: Quantum Gases, Condensed Matter, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.00825
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by L. Chotorlishvili; M. Azimi; S. Stagraczyński; J. Berakdar
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The work provides an overview on some recent advances in the area of quantum thermodynamics and quantum heat engines. A particular emphasis is put on the possibility of constructing finite time quantum cycles and adiabatic shortcuts. We discuss in details the particular quantum heat engines operating with a multiferroic working substance.
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1703.00855
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We prove the local well-posedness for the nonlinear fourth-order Schr\"odinger equation (NL4S) in Sobolev spaces. We also studied the regularity of solutions in the sub-critical case. A direct consequence of this regularity is the global well-posedness above mass and energy spaces under some assumptions. Finally, we show the ill-posedness for (NL4S) in some cases of the super-critical range.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.00891
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by M. B. Erdogan; T. B. Gurel; N. Tzirakis
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In this paper we study the cubic fractional nonlinear Schrodinger equation (NLS) on the torus and on the real line. Combining the normal form and the restricted norm methods we prove that the nonlinear part of the solution is smoother than the initial data. Our method applies to both focusing and defocusing nonlinearities. In the case of full dispersion (NLS) and on the torus, the gain is a full derivative, while on the real line we get a derivative smoothing with an $\epsilon$ loss. Our result...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.00946
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by Daniel Moyer; Boris A Gutman; Neda Jahanshad; Paul M. Thompson
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One of the primary objectives of human brain mapping is the division of the cortical surface into functionally distinct regions, i.e. parcellation. While it is generally agreed that at macro-scale different regions of the cortex have different functions, the exact number and configuration of these regions is not known. Methods for the discovery of these regions are thus important, particularly as the volume of available information grows. Towards this end, we present a parcellation method based...
Topics: Neurons and Cognition, Computer Vision and Pattern Recognition, Quantitative Methods, Computational...
Source: http://arxiv.org/abs/1703.00981
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by Daniel W. Cranston; Landon Rabern
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A simple graph $G$ is \emph{overfull} if $|E(G)|>\Delta\lfloor|V(G)|/2\rfloor$. By the pigeonhole principle, every overfull graph $G$ has $\chi'(G)>\Delta$. The \emph{core} of a graph, denoted $G_\Delta$, is the subgraph induced by its vertices of degree $\Delta$. Vizing's Adjacency Lemma implies that if $\chi'(G)>\Delta$, then $G_\Delta$ contains cycles. Hilton and Zhao conjectured that if $G_\Delta$ has maximum degree 2 and $\Delta\ge 4$, then $\chi'(G)>\Delta$ precisely when $G$...
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1703.00959
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We study the thermal transport properties of the one dimensional Fermi-Pasta-Ulam model ($\beta$-type) with long-range interactions. The strength of the long-range interaction decreases with the (shortest) distance between the lattice sites as ${distance}^{-\delta}$, where $\delta \ge 0$.Two Langevin heat baths at unequal temperatures are connected to the ends of the one dimensional lattice via short-range harmonic interactions that drive the system away from thermal equilibrium. In the...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1703.01020
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by Takashi Ezoe; Atsushi Hosaka
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We study the (anti)kaon nucleon interaction in the Skyrme model. The kaon field is introduced as a fluctuation around the rotating Skyrmion for the nucleon. As an extension of our previous work, we study scattering states and examine phase shifts in various kaon-nucleon channels. Then we study the interaction, where we find that it consists of central and spin-orbit components for isospin channels, $I = 0, 1$, with energy dependence and nonlocality. The interaction is then fitted to a...
Topics: Nuclear Theory, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.01004
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by Wenlong Yuan; Shiyuan He; Lucas M. Macri; James Long; Jianhua Z. Huang
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We present the discovery of 1847 Mira candidates in the Local Group galaxy M33 using a novel semi-parametric periodogram technique coupled with a Random Forest classifier. The algorithms were applied to ~2.4x10^5 I-band light curves previously obtained by the M33 Synoptic Stellar Survey. We derive preliminary Period-Luminosity relations at optical, near- & mid-infrared wavelengths and compare them to the corresponding relations in the Large Magellanic Cloud.
Topics: Solar and Stellar Astrophysics, Applications, Statistics, Astrophysics
Source: http://arxiv.org/abs/1703.01000
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by William Helton; Kyle P. Meyer; Vern I. Paulsen; Matthew Satriano
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We associate to each synchronous game an algebra whose representations determine if the game has a perfect deterministic strategy, perfect quantum strategy or one of several other perfect strategies. when applied to the graph coloring game, this leads to characterizations in terms of properties of an algebra of various quantum chromatic numbers that have been studied in the literature. This allows us to develop a correspondence between various chromatic numbers of a graph and ideals in this...
Topics: Operator Algebras, Mathematics
Source: http://arxiv.org/abs/1703.00960
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by Tod E. Strohmayer
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We derive a generalization of forward fitting for X-ray spectroscopy to include linear polarization of X-ray sources, appropriate for the anticipated next generation of space-based photoelectric polarimeters. We show that the inclusion of polarization sensitivity requires joint fitting to three observed spectra, one for each of the Stoke's parameters, I(E), U(E), and Q(E). The equations for Stoke's I(E) (the total intensity spectrum) are identical to the familiar case with no polarization...
Topics: Instrumentation and Methods for Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1703.00949
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by Reuth Mirsky; Roni Stern; Ya'akov; Gal; Meir Kalech
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Plan recognition algorithms infer agents' plans from their observed actions. Due to imperfect knowledge about the agent's behavior and the environment, it is often the case that there are multiple hypotheses about an agent's plans that are consistent with the observations, though only one of these hypotheses is correct. This paper addresses the problem of how to disambiguate between hypotheses, by querying the acting agent about whether a candidate plan in one of the hypotheses matches its...
Topics: Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1703.01083
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by Sungsoo Ahn; Michael Chertkov; Jinwoo Shin
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Computing partition function is the most important inference task arising in applications of Graphical Models (GM). Since it is computationally intractable, approximate algorithms are used to tackle the problem. In this paper, by relying on the technique, coined gauge transformation, modifying GM factors such that the partition function stay the same (invariant), we propose two optimization formulations which generalize the Bethe Free Energy, Belief Propagation approach. Then, we show that the...
Topics: Machine Learning, Statistics
Source: http://arxiv.org/abs/1703.01056
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by Zakaria Laskar; Juho Kannala
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The current models of image representation based on Convolutional Neural Networks (CNN) have shown tremendous performance in image retrieval. Such models are inspired by the information flow along the visual pathway in the human visual cortex. We propose that in the field of particular object retrieval, the process of extracting CNN representations from query images with a given region of interest (ROI) can also be modelled by taking inspiration from human vision. Particularly, we show that by...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1703.01226
Arxiv.org
by Simona Cocco; Christoph Feinauer; Matteo Figliuzzi; Remi Monasson; Martin Weigt
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In the course of evolution, proteins undergo important changes in their amino acid sequences, while their three-dimensional folded structure and their biological function remain remarkably conserved. Thanks to modern sequencing techniques, sequence data accumulate at unprecedented pace. This provides large sets of so-called homologous, i.e.~evolutionarily related protein sequences, to which methods of inverse statistical physics can be applied. Using sequence data as the basis for the inference...
Topics: Quantitative Biology, Statistical Mechanics, Condensed Matter, Biomolecules, Quantitative Methods
Source: http://arxiv.org/abs/1703.01222
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by David E. Simmons; Justin P. Coon; Animesh Datta
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We show that the (normalized) symmetric Laplacian of a simple graph can be obtained from the partial trace over a pure bipartite quantum state that resides in a bipartite Hilbert space (one part corresponding to the vertices, the other corresponding to the edges). This suggests an interpretation of the symmetric Laplacian's Von Neumann entropy as a measure of bipartite entanglement present between the two parts of the state. We then study extreme values for a connected graph's generalized...
Topics: Information Theory, Quantum Physics, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.01142
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In this note we adress the problem of performing the semiclassical expansion of the scalar product of Bethe states in the case of the XXZ spin chain. Our approach closely follows the one developped in [1]: after expressing the scalar products in terms of a central quantity - the B functional, we reinterpret it as a grand partition function of a gas of particles with pairwise interaction potential. This work has been done as part of the author's master thesis under the supervision of Ivan Kostov...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1703.01123
Arxiv.org
by I. A. Zaluzhnyy; R. P. Kurta; E. A. Sulyanova; O. Yu. Gorobtsov; A. G. Shabalin; A. V. Zozulya; A. P. Menushenkov; M. Sprung; A. Krowczynski; E. Gorecka; B. I. Ostrovskii; I. A. Vartanyants
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We report on X-ray studies of freely suspended hexatic films of three different liquid crystal compounds. By applying angular X-ray cross-correlation analysis (XCCA) to the measured diffraction patterns the parameters of the bond-orientational (BO) order in the hexatic phase were directly determined. The temperature evolution of the BO order parameters was analyzed on the basis of the multicritical scaling theory (MCST). Our results confirmed the validity of the MCST in the whole temperature...
Topics: Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1703.01198
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by Raphaele Herbin; Thierry Gallouët; Jean-Claude Latché; Aurélien Larcher
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We address in this paper a nonlinear parabolic system, which is built to retain the main mathematical difficulties of the P1 radiative diffusion physical model. We propose a finite volume fractional-step scheme for this problem enjoying the following properties. First, we show that each discrete solution satisfies a priori L -estimates, through a discrete maxi- mum principle; by a topological degree argument, this yields the existence of a solution, which is proven to be unique. Second, we...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.01132
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by Yusuke Higuchi; Etsuo Segawa
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We consider the Grover walk on infinite trees from the view point of spectral analysis. From the previous works, infinite regular trees provide localization. In this paper, we give the complete characterization of the eigenspace of this Grover walk, which involves localization of its behavior and recovers the previous works. Our result suggests that the Grover walk on infinite trees may be regarded as a limit of the quantum walk induced by the isotropic random walk with the Dirichlet boundary...
Topics: Quantum Physics, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.01334
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The paper deals with a problem of asymptotic soliton like solutions to the Benjamin-Bona-Mahony (BBM) equaion with a small parameter at the highest derivative and variable coefficients depending on the variables $x$, $t$ as well as a small parameter. There is proposed an algorithm of constructing the solutions and there are proved theorems on accuracy with which the solutions satisfy the BBM equation.
Topics: Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.01265
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by Stephen Avsec; Michael Brannan; Mateusz Wasilewski
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By adapting an ultraproduct technique of Junge and Zeng, we prove that radial completely bounded multipliers on $q$-Gaussian algebras transfer to $q$-Araki-Woods algebras. As a consequence, we establish the $w^{\ast}$-complete metric approximation property for all $q$-Araki-Woods algebras. We apply the latter result to show that the canonical ultraweakly dense C$^\ast$-subalgebras of $q$-Araki-Woods algebras are always QWEP.
Topics: Operator Algebras, Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1703.01317
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by Loïc Devilliers; Xavier Pennec; Stéphanie Allassonnière
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We tackle the problem of template estimation when data have been randomly transformed under an isometric group action in the presence of noise. In order to estimate the template, one often minimizes the variance when the influence of the transformations have been removed (computation of the Fr{\'e}chet mean in quotient space). The consistency bias is defined as the distance (possibly zero) between the orbit of the template and the orbit of one element which minimizes the variance. In this...
Topics: Statistics Theory, Statistics, Mathematics
Source: http://arxiv.org/abs/1703.01232
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Kennedy and O'Hagan (2001) propose a model for calibrating some unknown parameters in a computer model and estimating the discrepancy between the computer output and physical response. This model is known to have certain identifiability issues. Tuo and Wu (2016) show that there are examples for which the Kennedy-O'Hagan method renders unreasonable results in calibration. In spite of its unstable performance in calibration, the Kennedy-O'Hagan approach has a more robust behavior in predicting...
Topics: Statistics Theory, Statistics, Mathematics
Source: http://arxiv.org/abs/1703.01326
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by Jacob Biamonte
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Tensor network methods provide an intuitive graphical language to describe quantum states, channels, open quantum systems and a class of numerical approximation methods that efficiently simulate certain many-body states in one spatial dimension. There are two fundamental types of tensor networks in wide use today. The most common is similar to quantum circuits. The second is the braided class of tensor networks, used in topological quantum computing. Recently a third class of tensor networks...
Topics: General Relativity and Quantum Cosmology, Condensed Matter, Disordered Systems and Neural Networks,...
Source: http://arxiv.org/abs/1703.01302
Arxiv.org
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We describe the structure of Hausdorff locally compact semitopological $0$-bisimple inverse $\omega$-semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological $0$-bisimple inverse $\omega$-semigroup with a compact maximal subgroup is either compact or topologically isomorphic to the topological sum of its $\mathscr{H}$-classes. We describe the structure of Hausdorff locally compact semitopological $0$-bisimple inverse $\omega$-semigroups...
Topics: Group Theory, General Topology, Mathematics
Source: http://arxiv.org/abs/1703.01434
Arxiv.org
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The key to the proof-theoretical study of a logic is a cutfree proof calculus. Unfortunately there are many logics of interest lacking suitable proof calculi. The proof formalism of nested sequents was recently generalised to indexed nested sequents in order to yield cutfree proof calculi for extensions of the modal logic K by Geach (Lemmon-Scott) axioms. The proofs of completeness and cut-elimination therein were semantical and intricate. Here we identify a subclass of the labelled sequent...
Topics: Logic in Computer Science, Computing Research Repository
Source: http://arxiv.org/abs/1703.01356
Arxiv.org
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In this work, we consider the Sturm-Liouville operator on a finite interval $[0,1]$ with discontinuous conditions at $1/2$. We prove that if the potential is known a priori on a subinterval $[b,1]$ with $b\ge1/2$, then parts of two spectra can uniquely determine the potential and all parameters in discontinuous conditions and boundary conditions. For the case $b
Topics: Spectral Theory, Mathematics
Source: http://arxiv.org/abs/1703.01403
Arxiv.org
by Kazumasa Fujiwara; Vladimir Georgiev; Tohru Ozawa
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The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.01487
Arxiv.org
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In this paper, combining the $p$-capacity for $p\in (1, n)$ with the Orlicz addition of convex domains, we develop the $p$-capacitary Orlicz-Brunn-Minkowski theory. In particular, the Orlicz $L_{\phi}$ mixed $p$-capacity of two convex domains is introduced and its geometric interpretation is obtained by the $p$-capacitary Orlicz-Hadamard variational formula. The $p$-capacitary Orlicz-Brunn-Minkowski and Orlicz-Minkowski inequalities are established, and the equivalence of these two inequalities...
Topics: Mathematics, Analysis of PDEs, Functional Analysis, Metric Geometry
Source: http://arxiv.org/abs/1703.01458