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by Yehuda Hoffman; Daniel Pomarede; R. Brent Tully; Helene Courtois
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In the standard (LCDM) model of cosmology the universe has emerged out of an early homogeneous and isotropic phase. Structure formation is associated with the growth of density irregularities and peculiar velocities. Our Local Group is moving with respect to the cosmic microwave background (CMB) with a velocity 631+/-20 km s-1 and participates in a bulk flow that extends out to distances of at least 20,000 km s-1. Since the discovery of the CMB dipole, the implicit assumption was that excesses...
Topics: Cosmology and Nongalactic Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1702.02483
Arxiv.org
by Giulia Cencetti; Franco Bagnoli; Giorgio Battistelli; Luigi Chisci; Duccio Fanelli
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Multidimensional systems coupled via complex networks are widespread in nature and thus frequently invoked for a large plethora of interesting applications. From ecology to physics, individual entities in mutual interactions are grouped in families, homogeneous in kind. These latter interact selectively, through a sequence of self-consistently regulated steps, whose deeply rooted architecture is stored in the assigned matrix of connections. The asymptotic equilibrium eventually attained by the...
Topics: Physics, Condensed Matter, Physics and Society, Adaptation and Self-Organizing Systems, Biological...
Source: http://arxiv.org/abs/1702.02527
Arxiv.org
by Luis Manzanillas
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Recent studies have shown that there are discrepancies between observations and the theoretical predictions in some neutrino experiments at short distances. In the so-called "Reactor Antineutrino Anomaly" and in the "Gallium Anomaly", these differences from the expectations are at the $\sim$3 $\sigma$ level in both cases. Oscillations into a light sterile neutrino state ($\Delta m^{2} \sim 1eV^{2}$) could account for the deficits in observed rates. The STEREO experiment has...
Topics: Physics, High Energy Physics - Experiment, Instrumentation and Detectors
Source: http://arxiv.org/abs/1702.02498
Arxiv.org
by Zhe Gan; P. D. Singh; Ameet Joshi; Xiaodong He; Jianshu Chen; Jianfeng Gao; Li Deng
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Connecting different text attributes associated with the same entity (conflation) is important in business data analytics since it could help merge two different tables in a database to provide a more comprehensive profile of an entity. However, the conflation task is challenging because two text strings that describe the same entity could be quite different from each other for reasons such as misspelling. It is therefore critical to develop a conflation model that is able to truly understand...
Topics: Learning, Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1702.02640
Arxiv.org
by J. Xavier Prochaska; Jessica K. Werk; Gabor Worseck; Todd M. Tripp; Jason Tumlinson; Joseph N. Burchett; Andrew J. Fox; Michele Fumagalli; Nicolas Lehner; Molly S. Peeples; Nicolas Tejos
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We analyze new far-ultraviolet spectra of 13 quasars from the z~0.2 COS-Halos survey that cover the HI Lyman limit of 14 circumgalactic medium (CGM) systems. These data yield precise estimates or more constraining limits than previous COS-Halos measurements on the HI column densities NHI. We then apply a Monte-Carlo Markov Chain approach on 32 systems from COS-Halos to estimate the metallicity of the cool (T~10^4K) CGM gas that gives rise to low-ionization state metal lines, under the...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1702.02618
Arxiv.org
by Paulo M. Carvalho Neto; Renato Fehlberg junior
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When addressing ordinary differential equations in infinite dimensional Banach spaces, an interesting question that arises concerns the existence (or non existence) of blowing up solutions in finite time. In this manuscript we discuss this question for the fractional differential equation $cD_t^\alpha u = f(t,u)$ proving that when $f$ is locally Lipschitz, however does not maps bounded sets into bounded sets, we can construct a maximal local solution that not "blows up" in finite time.
Topics: Classical Analysis and ODEs, Mathematics
Source: http://arxiv.org/abs/1702.02592
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We study the problem of estimating the phase shift due to the general relativistic time dilation in the interference of photons using a Mach-Zender interferometer setup. By introducing two non-linear Kerr materials, one in the bottom and one in the top arm, we can measure the non-linear phase $\phi_{NL}$ produced by the curvature and achieve a scaling of the standard deviation with photon number ($N$) of $1/N^{\beta}$ where $\beta > 1$, which exceeds the conventional Heisenberg limit...
Topics: General Relativity and Quantum Cosmology, Quantum Physics
Source: http://arxiv.org/abs/1702.02697
Arxiv.org
by Zhenyu Qiao; Bo Yang; Qimin Xu; Fei Xiong; Cailian Chen; Xinping Guan; Bei Chen
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High penetration of renewable energy source makes microgrid (MGs) be environment friendly. However, the stochastic input from renewable energy resource brings difficulty in balancing the energy supply and demand. Purchasing extra energy from macrogrid to deal with energy shortage will increase MG energy cost. To mitigate intermittent nature of renewable energy, energy trading and energy storage which can exploit diversity of renewable energy generation across space and time are efficient and...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1702.02748
Arxiv.org
by Richard F. Betzel; John D. Medaglia; Danielle S. Bassett
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The brain's functional diversity is reflected in the meso-scale architecture of its connectome, i.e. its division into clusters and communities of topologically-related brain regions. The dominant view, and one that is reinforced by current analysis techniques, is that communities are strictly assortative and segregated from one another, purportedly for the purpose of carrying out specialized information processing. Such a view, however, precludes the possibility of non-assortative communities...
Topics: Quantitative Biology, Neurons and Cognition
Source: http://arxiv.org/abs/1702.02807
Arxiv.org
by Johannes Bleibel; Alvaro Domínguez; Martin Oettel
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It has been recently shown that a colloidal monolayer, e.g., formed at a fluid interface or by means of a suitable confining potential, exhibits anomalous collective diffusion. This is a consequence of the hydrodynamic interactions mediated by the three-dimensional (3D) ambient fluid when the particles are confined to reside on a two-dimensional (2D) manifold. We study theoretically and with numerical simulations the crossover from normal to anomalous diffusion as the particles are, in real...
Topics: Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1702.02758
Arxiv.org
by Gábor Bíró; Gergely Gábor Barnaföldi; Tamás Sándor Biró; Károly Ürmössy; Ádám Takács
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The analysis of high-energy particle collisions is an excellent testbed for the non-extensive statistical approach. In these reactions we are far from the thermodynamical limit. In small colliding systems, such as electron-positron or nuclear collisions, the number of particles is several orders of magnitude smaller than the Avogadro number; therefore, finite-size and fluctuation effects strongly influence the final-state one-particle energy distributions. Due to the simple characterization,...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.02842
Arxiv.org
by Johannes Fichte; Markus Hecher; Michael Morak; Stefan Woltran
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Parameterized algorithms are a way to solve hard problems more efficiently, given that a specific parameter of the input is small. In this paper, we apply this idea to the field of answer set programming (ASP). To this end, we propose two kinds of graph representations of programs to exploit their treewidth as a parameter. Treewidth roughly measures to which extent the internal structure of a program resembles a tree. Our main contribution is the design of parameterized dynamic programming...
Topics: Logic in Computer Science, Artificial Intelligence, Computing Research Repository, Computational...
Source: http://arxiv.org/abs/1702.02890
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In this work we have applied the recently formulated self-compressed inhomogeneous stabilized jellium model [M. Payami and T. Mahmoodi, Can. J. Phys. {\bf 89}, 967 (2011)] to describe the equilibrium electronic and geometric properties of atomic-closed-shell simple metal clusters of Al$_N$ ($N$=13, 19, 43, 55, 79, 87, 135, 141), Na$_N$, and Cs$_N$ ($N$=9, 15, 27, 51, 59, 65, 89, 113). To validate the results, we have also performed first-principles pseudo-potential calculations and used them as...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1702.02856
Arxiv.org
by Edward L. Green
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Koszul algebras with quadratic Groebner bases, called strong Koszul algebras, are studied. We introduce affine algebraic varieties whose points are in one-to-one correspondence with certain strong Koszul algebras and we investigate the connection between the varieties and the algebras.
Topics: Rings and Algebras, Mathematics
Source: http://arxiv.org/abs/1702.02918
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We study various mixing properties for subshifts, which allow words in the language to be concatenated into a new word in the language given certain gaps between them. All are defined in terms of an auxiliary gap function f: N -> N, which gives the minimum required gap length as a function of the lengths of the words on either side. In this work we focus mostly on topological transitivity, topological mixing, and a property which we call non-uniform two-sided specification. It has been...
Topics: Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1702.02870
Arxiv.org
by Zdeněk Dvořák; Jordan Venters
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Since planar triangle-free graphs are 3-colourable, such a graph with n vertices has an independent set of size at least n/3. We prove that unless the graph contains a certain obstruction, its independence number is at least n/(3-epsilon) for some fixed epsilon>0. We also provide a reduction rule for this obstruction, which enables us to transform any plane triangle-free graph G into a plane triangle-free graph G' such that alpha(G')-|G'|/3=alpha(G)-|G|/3 and |G'|
Topics: Discrete Mathematics, Combinatorics, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.02888
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Let $A$ be a $g$-dimensional abelian variety over $\mathbb{Q}$ whose adelic Galois representation has open image in $\text{GSp}_{2g} \widehat{\mathbb{Z}}$. We investigate the endomorphism algebras $\text{End}(A_p) \otimes \mathbb{Q} = \mathbb{Q}( \pi_p )$ of the reduction of $A$ modulo primes $p$ at which this reduction is ordinary and simple. We obtain conditional and unconditional asymptotic upper bounds on the number of primes at which this "Frobenius field" is a specified number...
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1702.03017
Arxiv.org
by Antoine Dahlqvist; Joscha Diehl; Bruce Driver
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We show well-posedness for the parabolic Anderson model on $2$-dimensional closed Riemannian manifolds. To this end we extend the notion of regularity structures to curved space, and explicitly construct the minimal structure required for this equation. A central ingredient is the appropriate re-interpretation of the polynomial model, which we build up to any order.
Topics: Probability, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.02965
Arxiv.org
by Weiqiong Wang; Liping Wang; Haiyan Zhou
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In this paper, we derive an explicit combinatorial formula for the number of $k$-subset sums of quadratic residues over finite fields.
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1702.03028
Arxiv.org
by Lars Birkedal; Thomas Dinsdale-Young; Guilhem Jaber; Kasper Svendsen; Nikos Tzevelekos
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We propose a formal approach for relating abstract separation logic library specifications with the trace properties they enforce on interactions between a client and a library. Separation logic with abstract predicates enforces a resource discipline that constrains when and how calls may be made between a client and a library. Intuitively, this can enforce a protocol on the interaction trace. This intuition is broadly used in the separation logic community but has not previously been...
Topics: Logic in Computer Science, Programming Languages, Computing Research Repository
Source: http://arxiv.org/abs/1702.02972
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Observational and theoretical arguments support the idea that violent events connected with $AGN$ activity and/or intense star forming episodes have played a significant role in the early phases of galaxy formation at high red shifts. Being old stellar systems, globular clusters seem adequate candidates to search for the eventual signatures that might have been left by those energetic phenomena. The analysis of the colour distributions of several thousands of globular clusters in the Virgo and...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1702.03031
The multi-indexed orthogonal polynomials (the Meixner, little $q$-Jacobi (Laguerre), ($q$-)Racah, Wilson, Askey-Wilson types) satisfying second order difference equations were constructed in discrete quantum mechanics. They are polynomials in the sinusoidal coordinates $\eta(x)$ ($x$ is the coordinate of quantum system) and expressed in terms of the Casorati determinants whose matrix elements are functions of $x$ at various points. By using shape invariance properties, we derive various...
Topics: Classical Analysis and ODEs, Mathematical Physics, Nonlinear Sciences, High Energy Physics -...
Source: http://arxiv.org/abs/1702.03078
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For the critical Galton--Watson process with geometric offspring distributions we provide sharp barrier estimates for barriers which are (small) perturbations of linear barriers. These are useful in analyzing the cover time of finite graphs in the critical regime by random walk, and the Brownian cover times of compact two dimensional manifolds. As an application of the barrier estimates, we prove that if $C_L$ denotes the cover time of the binary tree of depth $L$ by simple walk, then...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1702.03189
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by Bharath Shamasundar; Swaroop Jacob; Sandeep Bhat; A. Chockalingam
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In index modulation schemes, information bits are conveyed through indexing of transmission entities such as antennas, subcarriers, times slots, precoders, subarrays, and radio frequency (RF) mirrors. Index modulation schemes are attractive for their advantages such as good performance, high rates, and hardware simplicity. This paper focuses on index modulation schemes in which multiple transmission entities, namely, {\em antennas}, {\em time slots}, and {\em RF mirrors}, are indexed {\em...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03250
Arxiv.org
by Bernardo Alves Furtado; Isaque Daniel Eberhardt Rocha
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This paper extends and adapts an existing abstract model into an empirical metropolitan region in Brazil. The model - named SEAL: a Spatial Economic Agent-based Lab - comprehends a framework to enable public policy ex-ante analysis. The aim of the model is to use official data and municipalities spatial boundaries to allow for policy experimentation. The current version considers three markets: housing, labor and goods. Families' members age, consume, join the labor market and trade houses. A...
Topics: Multiagent Systems, Computing Research Repository, Economics, Quantitative Finance
Source: http://arxiv.org/abs/1702.03226
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by Daniel Patnaude; Carles Badenes
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Supernovae shape the interstellar medium, chemically enrich their host galaxies, and generate powerful interstellar shocks that drive future generations of star formation. The shock produced by a supernova event acts as a type of time machine, probing the mass loss history of the progenitor system back to ages of $\sim$ 10 000 years before the explosion, whereas supernova remnants probe a much earlier stage of stellar evolution, interacting with material expelled during the progenitor's much...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.03228
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In this paper we investigate the achievable rate of LOS MIMO systems that use 1-bit quantization and spatial oversampling at the receiver. We propose that by using additional antennas at the receiver, the loss incurred due to the strong limitation of the quantization can be decreased. Mutual information results show that considerable rate gains can be achieved depending on the number and arrangement of the antennas. In some of the cases, even the full available rate from the transmitter can be...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03241
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by Alexander Smith; Alpha Lee; Susan Perkin
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The structure and interactions in electrolytes at high concentration have implications from energy storage to biomolecular interactions. However many experimental observations are yet to be explained in these mixtures, which are far beyond the regime of validity of mean field models. Here, we study the structural forces in a mixture of ionic liquid and solvent that is miscible in all proportions at room temperature. Using the surface force balance to measure the force between macroscopic smooth...
Topics: Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1702.03242
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by Keita Yamamoto
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We introduce the forcing model of IZFA (Intuitionistic Zermelo-Fraenkel set theory with Atoms) for every Grothendieck topology and prove that the topos of sheaves on every site is equivalent to the category of 'sets in this forcing model'.
Topics: Mathematics, Category Theory, Logic
Source: http://arxiv.org/abs/1702.03399
Arxiv.org
by Cunhua Pan; Huiling Zhu; Nathan J. Gomes; Jiangzhou Wang
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This paper jointly optimizes the precoding matrices and the set of active remote radio heads (RRHs) to minimize the network power consumption (NPC) for a user-centric cloud radio access network (C-RAN), where both the RRHs and users have multiple antennas and each user is served by its nearby RRHs. Both users' rate requirements and per-RRH power constraints are considered. Due to these conflicting constraints, this optimization problem may be infeasible. In this paper, we propose to solve this...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03346
In this paper, the quasinormal modes of gravitational perturbation around some well-known regular black holes were evaluated by using the WKB approximation as well as the asymptotic iteration method. Through numerical calculation, we make a detailed analysis of the gravitational QNM frequencies by varying the characteristic parameters of the gravitational perturbation and the spacetime charge parameters of the regular black holes. It is found that the imaginary part of quasinormal modes as a...
Topic: General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1702.03413
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by Shingo Motoki; Genta Kawahara; Masaki Shimizu
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We discuss what is an optimal velocity field for more heat transfer and less energy dissipation under the constraints of the continuity equation for the velocity and the advection-diffusion equation for temperature in plane Couette flow. The excess of a wall heat flux (or equivalently total scalar dissipation) over total energy dissipation is taken as an objective functional, and by using a variational method the Euler-Lagrange equations are derived, which are solved numerically to obtain the...
Topics: Fluid Dynamics, Physics
Source: http://arxiv.org/abs/1702.03412
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by Alexandru B. Georgescu; Sohrab Ismail-Beigi
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We describe a theoretical approach for finding spontaneously symmetry-broken electronic phases due to strong electronic interactions when using recently developed slave-particle (slave-boson) approaches based on occupation numbers. We describe why, to date, spontaneous symmetry breaking has proven difficult to achieve in such approaches. We then provide a total-energy based approach for introducing auxiliary symmetry breaking fields into the solution of the slave-particle problem that leads to...
Topics: Strongly Correlated Electrons, Condensed Matter
Source: http://arxiv.org/abs/1702.03381
Arxiv.org
by José M. Gracia-Bondía; Jens Mund; Joseph C. Várilly
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We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.03383
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by Mehdi Tajik; Behrooz Mashayekhy; Ali Pakdaman
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In this paper, we study h-fibrations, a weak homotopical version of fibrations which have weak covering homotopy property. We present some homotopical analogue of the notions related to fibrations and characterize h-fibrations using them. Then we construct some new categories by h-fibrations and deduce some results in these categories such as the existence of products and coproducts.
Topics: Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1702.03548
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by Anton Salikhmetov
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This note is meant to invite the reader to consider interaction nets, a relatively recently discovered model of computation, as a possible alternative for cellular automata which are often employed as the basis for digital physics. Defined as graph-like structures (in contrast to the grids for cellular automata), interaction nets possess a set of interesting properties, such as locality, linearity, and strong confluence, which together result in so-called clockless computation in the sense that...
Topics: Logic in Computer Science, Quantum Physics, Computing Research Repository
Source: http://arxiv.org/abs/1702.03523
Arxiv.org
by Apurba Kumar Das; Arvind Raghunathan; Umesh Vaidya
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In this paper we develop linear transfer Perron Frobenius operator-based approach for optimal stabilization of stochastic nonlinear system. One of the main highlight of the proposed transfer operator based approach is that both the theory and computational framework developed for the optimal stabilization of deterministic dynamical system in [1] carries over to the stochastic case with little change. The optimal stabilization problem is formulated as an infinite dimensional linear program. Set...
Topics: Optimization and Control, Systems and Control, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03481
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by Weihua Deng; Buyang Li; Wenyi Tian; Pingwen Zhang
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For characterizing the Brownian motion in a bounded domain: $\Omega$, it is well-known that the boundary conditions of the classical diffusion equation just rely on the given information of the solution along the boundary of a domain; on the contrary, for the L\'evy flights or tempered L\'evy flights in a bounded domain, it involves the information of a solution in the complementary set of $\Omega$, i.e., $\mathbb{R}^n\backslash \Omega$, with the potential reason that paths of the corresponding...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.03639
Arxiv.org
by Kameng Nip; Zhenbo Wang; Zizhuo Wang
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In this paper, we consider a Markov chain choice model with single transition. In this model, customers arrive at each product with a certain probability. If the arrived product is unavailable, then the seller can recommend a subset of available products to the customer and the customer will purchase one of the recommended products or choose not to purchase with certain transition probabilities. The distinguishing features of the model are that the seller can control which products to recommend...
Topics: Optimization and Control, Computational Complexity, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03700
We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based on elements that are continuous for the displacements and discontinuous for the rotations, using $C^0$-elements for the discretisation of the plate as well as for the membrane deformations. Key to the formulation of...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1702.03662
In this paper, we introduce a Weyl functional calculus $a \mapsto a(Q,P)$ for the position and momentum operators $Q$ and $P$ associated with the Ornstein-Uhlenbeck operator $ L = -\Delta + x\cdot \nabla$, and give a simple criterion for restricted $L^p$-$L^q$ boundedness of operators in this functional calculus. The analysis of this non-commutative functional calculus is simpler than the analysis of the functional calculus of $L$. It allows us to recover, unify, and extend, old and new results...
Topics: Probability, Functional Analysis, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.03602
Arxiv.org
by V. M. Martinez-Alvarez; M. D. Coutinho-Filho
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The ground state (GS) properties of the ferrimagnetic quasi-one-dimensional $AB_{2}$ Hubbard model are calculated taking the effects of charge and spin quantum fluctuations on equal footing. Using a functional integral approach, combined with a perturbative expansion in the strong-coupling regime, we derive the Lagrangian density associated with the charge (Grassmann fields) and spin [$SU(2)$ gauge fields] degrees of freedom. In the strong-coupling regime ($U\gg t,$ where $U$ is Coulomb...
Topics: Strongly Correlated Electrons, Condensed Matter
Source: http://arxiv.org/abs/1702.03609
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In this paper we prove some new identities for multiple zeta values and multiple zeta star values of arbitrary depth by using the methods of integral computations of logarithm function and iterated integral representations of series. By applying these formulas, we can prove that multiple zeta star values whose indices are the sequences $(\bar 1,\{1\}_m,\bar 1)$ and $(2,\{1\}_m,\bar 1)$ can be expressed polynomially in terms of zeta values, polylogarithms and $\ln2$. Finally, we also evaluate...
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1702.03868
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by Luca Weihs; Bill Robinson; Emilie Dufresne; Jennifer Kenkel; Kaie Kubjas; Reginald L. McGee; Nhan Nguyen; Elina Robeva; Mathias Drton
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Linear structural equation models relate the components of a random vector using linear interdependencies and Gaussian noise. Each such model can be naturally associated with a mixed graph whose vertices correspond to the components of the random vector. The graph contains directed edges that represent the linear relationships between components, and bidirected edges that encode unobserved confounding. We study the problem of generic identifiability, that is, whether a generic choice of linear...
Topics: Statistics Theory, Statistics, Mathematics
Source: http://arxiv.org/abs/1702.03884
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by Ambalika Biswas
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In this piece of work, the nonstandard Higgs boson masses have been constrained by restrictions arising from Higgs diphoton decay width, stability, perturbativity, unitarity and electroweak T-parameter in the framework of the Higgs triplet model. As a matter of fact the loop induced Higgs decays will now obtain additional contributions from singly and doubly charged Higgs bosons. In simulations of pair production of $H^{++}$ it is assumed that the production channel $q\overline{q}\rightarrow...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.03847
Arxiv.org
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The aim of this note is to give an alternative proof of a theorem of Koras and Russell, that is, a characterization of smooth contractible affine varieties endowed with a hyperbolic action of the group $\mathbb{G}_{m}\simeq\mathbb{C}^{\text{*}}$, using the language of polyhedral divisors developed by Altmann and Hausen as generalization of $\mathbb{Q}$-divisors.
Topics: Algebraic Geometry, Mathematics
Source: http://arxiv.org/abs/1702.03739
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by P. Hrubovcak; A. Zelenakova; V. Zelenak; J. Kovac; V. Franco
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Bimetallic Co/Au (core/shell) nanoparticle system exhibiting transition form superparamagnetic (SPM) to superspin glass state (SSG) at low temperatures has been investigated with respect to its magnetocaloric properties. Peaks of magnetic entropy change vs. temperature dependences ($\Delta S_M(T)$) have been observed at a temperature in the vicinity of SPM to SSG transition. Despite of significant thermal hysteresis of magnetization at low applied fields a master curve has been constructed from...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1702.03761
Arxiv.org
by Iqra Altaf Gillani; Pooja Vyavahare; Amitabha Bagchi
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We study the in-network computation of arbitrary functions whose computation schema is a complete binary tree, i.e., we assume that the network wants to compute a function of $K$ operands, each of which is available at a distinct node in the network, and rather than simply collecting the $K$ operands at a single sink node and computing the function, we want to compute the function during the process of moving the data towards the sink. Such settings have been studied in the literature but...
Topics: Networking and Internet Architecture, Distributed, Parallel, and Cluster Computing, Computing...
Source: http://arxiv.org/abs/1702.03741
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by Xuanyu Cao; K. J. Ray Liu
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In this paper, we study a dynamic version of the sharing problem, in which a dynamic system cost function composed of time-variant local costs of subsystems and a shared time-variant cost of the whole system is minimized. A dynamic alternating direction method of multipliers (ADMM) is proposed to track the varying optimal points of the dynamic optimization problem in an online manner. We analyze the convergence properties of the dynamic ADMM and show that, under several standard technical...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1702.03874
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by Michael Olbrich; Anatolij Zubow; Sven Zehl; Adam Wolisz
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We propose WiPLUS -- a system that enables WiFi to deal with the stealthy invasion of LTE-U into the frequency bands used by WiFi. Using solely MAC layer information extracted passively, during runtime, out of the hardware registers of the WiFi NIC at the WiFi access point, WiPLUS is able to: i) detect interfering LTE-U signals, ii) compute their duty-cycles, and iii) derive the effective medium airtime available for each WiFi link in a WiFi Basic Service Set (BSS). Moreover WiPLUS provides...
Topics: Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1702.04020
Arxiv.org
by Gang Chen; Zhaodan Kong
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The paper presents a new formal way of modeling and designing reconfigurable robots, in which case the robots are allowed to reconfigure not only structurally but also functionally. We call such kind of robots "self-evolvable", which have the potential to be more flexible to be used in a wider range of tasks, in a wider range of environments, and with a wider range of users. To accommodate such a concept, i.e., allowing a self-evovable robot to be configured and reconfigured, we...
Topics: Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1702.04022
Arxiv.org
by Manimala Chakraborti; Utpal Chattopadhyay; Sujoy Poddar
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Higgsinos and Wino have strong motivations for being Dark Matter (DM) candidates in supersymmetry, but their annihilation cross sections are quite large. For thermal generation and a single component DM setup the higgsinos or wino may have masses of around 1 or 2-3 TeV respectively. For such DM candidates, a small amount of slepton coannihilation may decrease the effective DM annihilation cross section. This, in turn reduces the lower limit of the relic density satisfied DM mass by more than...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.03954
Arxiv.org
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We consider the chemotaxis problem for a one-dimensional system. To analyze the interaction of bacteria and attractant we use a modified Keller-Segel model which accounts attractant absorption. To describe the system we use the chemotaxis sensitivity function, which characterizes nonuniformity of bacteria distribution. In particular, we investigate how the chemotaxis sensitivity function depends on the concentration of attractant at the boundary of the system. It is known that in the system...
Topics: Cell Behavior, Physics, Quantitative Biology, Biological Physics
Source: http://arxiv.org/abs/1702.03963
Arxiv.org
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We study the multi-particle Anderson model in the continuum and show that under some mild assumptions on the random external potential and the inter-particle interaction, for any finite number of particles, the multi-particle lower edges of the spectrum are almost surely constant in absence of ergodicity. We stress that this result is not quite obvious and has to be handled carefully. In addition, we prove the spectral exponential and the strong dynamical localization of the continuous...
Topics: Spectral Theory, Probability, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1702.03945
Arxiv.org
by Raymond Smith; Chunhui Gu; Dar-Shyang Lee; Huiyi Hu; Ranjith Unnikrishnan; Julian Ibarz; Sacha Arnoud; Sophia Lin
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We introduce the French Street Name Signs (FSNS) Dataset consisting of more than a million images of street name signs cropped from Google Street View images of France. Each image contains several views of the same street name sign. Every image has normalized, title case folded ground-truth text as it would appear on a map. We believe that the FSNS dataset is large and complex enough to train a deep network of significant complexity to solve the street name extraction problem...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1702.03970
Arxiv.org
by Eric Bach; Jeremie Dusart; Lisa Hellerstein; Devorah Kletenik
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Recently, Deshpande et al. introduced a new measure of the complexity of a Boolean function. We call this measure the "goal value" of the function. The goal value of $f$ is defined in terms of a monotone, submodular utility function associated with $f$. As shown by Deshpande et al., proving that a Boolean function $f$ has small goal value can lead to a good approximation algorithm for the Stochastic Boolean Function Evaluation problem for $f$. Also, if $f$ has small goal value, it...
Topics: Computing Research Repository, Discrete Mathematics
Source: http://arxiv.org/abs/1702.04067
Arxiv.org
by Nicolae Paladi; Christian Gehrmann
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Software-Defined Networking (SDN) is a novel architectural model for cloud network infrastructure, improving resource utilization, scalability and administration. SDN deployments increasingly rely on virtual switches executing on commodity operating systems with large code bases, which are prime targets for adversaries attacking the net- work infrastructure. We describe and implement TruSDN, a framework for bootstrapping trust in SDN infrastructure using Intel Software Guard Extensions (SGX),...
Topics: Cryptography and Security, Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1702.04143
Arxiv.org
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We investigate the phase transitions in a coupled system of Ising spins and a fluctuating network. Each spin interacts with $q$ neighbors through links of the rewiring network. The Ising spins and the network are in thermal contact with the heat baths at temperatures $T_S$ and $T_L$, respectively, so that the whole system is driven out of equilibrium for $T_S \neq T_L$. The model is a generalization of the $q$-neighbor Ising model, which corresponds to the limiting case of $T_L=\infty$. Despite...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1702.04085
Arxiv.org
by R. Kumar; A. Shukla
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We derive the complete sets of off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the gauge-invariant Christ-Lee model by exploiting the celebrated (dual-)horizontality conditions together with the gauge-invariant and (anti-)co-BRST invariant restrictions within the framework of "augmented" supervariable approach to BRST formalism. We show the (anti-)BRST and (anti-)co-BRST invariance of the Lagrangian in the context of...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.04134
Arxiv.org
by Giovanni Alessandrini; Maarten V. de Hoop; Romina Gaburro; Eva Sincich
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We consider the inverse boundary value problem of determining the potential $q$ in the equation $\Delta u + qu = 0$ in $\Omega\subset\mathbb{R}^n$, from local Cauchy data. A result of global Lipschitz stability is obtained in dimension $n\geq 3$ for potentials that are piecewise linear on a given partition of $\Omega$. No sign, nor spectrum condition on $q$ is assumed, hence our treatment encompasses the reduced wave equation $\Delta u + k^2c^{-2}u=0$ at fixed frequency $k$.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.04222
Arxiv.org
by Pietro Faccioli; Mariana Araújo; Valentin Knünz; Ilse Krätschmer; Carlos Lourenço; João Seixas
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The LHC quarkonium production measurements reveal a startling observation: the J/$\psi$, $\psi$(2S), $\chi_{c1,2}$ and $\Upsilon$(nS) $p_{\rm T}$-differential cross sections are compatible with one universal momentum scaling pattern. Considering also the absence of strong polarizations of directly and indirectly produced S-wave mesons, we are led to the conclusion that there is currently no evidence of a dependence of the partonic production mechanisms on the quantum numbers and mass of the...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.04207
Arxiv.org
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We investigate the generalized Kronecker algebra $\mathcal{K}_r = k\Gamma_r$ with $r \geq 3$ arrows. Given a regular component $\mathcal{C}$ of the Auslander-Reiten quiver of $\mathcal{K}_r$, we show that the quasi-rank $rk(\mathcal{C}) \in \mathbb{Z}_{\leq 1}$ can be described almost exactly as the distance $\mathcal{W}(\mathcal{C}) \in \mathbb{N}_0$ between two non-intersecting cones in $\mathcal{C}$, given by modules with the equal images and the equal kernels property; more precisley, we...
Topics: Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.04206
Arxiv.org
by Daniel S. Abdi; Francis X. Giraldo; Emil M. Constantinescu; Lester E. Carr; Lucas C. Wilcox; Timothy C. Warburton
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We present the acceleration of an IMplicit-EXplicit (IMEX) non-hydrostatic atmospheric model on manycore processors such as GPUs and Intel's MIC architecture. IMEX time integration methods sidestep the constraint imposed by the Courant-Friedrichs-Lewy condition on explicit methods through corrective implicit solves within each time step. In this work, we implement and evaluate the performance of IMEX on manycore processors relative to explicit methods. Using 3D-IMEX at Courant number C=15 , we...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1702.04316
Arxiv.org
by Patrick Muldowney
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Lebesgue's dominated convergence theorem is a crucial pillar of modern analysis, but there are certain areas of the subject where this theorem is deficient. Deeper criteria for convergence of integrals are described in this article.
Topics: Classical Analysis and ODEs, History and Overview, Mathematics
Source: http://arxiv.org/abs/1702.04236
Arxiv.org
by Sara Spedicato; Giuseppe Notarstefano
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In this paper we present a novel strategy to compute minimum-time trajectories for quadrotors. In particular, we consider the motion in constrained environments, taking into account the physical limitations of the vehicle. Instead of approaching the optimization problem in its standard time-parameterized formulation, the proposed strategy is based on an appealing re-formulation. Transverse coordinates, expressing the distance from a "reference" path, are used to parameterize the...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1702.04275
Arxiv.org
by Henrique Flores
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We write a first order action for higher-spin fields and construct a canonical map to Fronsdal theory. The first-order description is defined over complex field configurations and has conformal invariance. We show that it is possible to push forward these transformations to a set of symmetries in Fronsdal theory that satisfies the conformal algebra but is not given by standard conformal change of coordinates.
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.04277
Arxiv.org
by Thomas Bothner; Robert Buckingham
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We analyze the left-tail asymptotics of deformed Tracy-Widom distribution functions describing the fluctuations of the largest eigenvalue in invariant random matrix ensembles after removing each soft edge eigenvalue independently with probability $1-\gamma\in[0,1]$. As $\gamma$ varies, a transition from Tracy-Widom statistics ($\gamma=1$) to classical Weibull statistics ($\gamma=0$) was observed in the physics literature by Bohigas, de Carvalho, and Pato \cite{BohigasCP:2009}. We provide a...
Topics: Probability, Mathematical Physics, Nonlinear Sciences, Exactly Solvable and Integrable Systems,...
Source: http://arxiv.org/abs/1702.04462
Arxiv.org
by Calin Iorgulescu; Florin Dinu; Aunn Raza; Wajih Ul Hassan; Willy Zwaenepoel
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Understanding the performance of data-parallel workloads when resource-constrained has significant practical importance but unfortunately has received only limited attention. This paper identifies, quantifies and demonstrates memory elasticity, an intrinsic property of data-parallel tasks. Memory elasticity allows tasks to run with significantly less memory that they would ideally want while only paying a moderate performance penalty. For example, we find that given as little as 10% of ideal...
Topics: Distributed, Parallel, and Cluster Computing, Computing Research Repository
Source: http://arxiv.org/abs/1702.04323
Arxiv.org
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In this article we study the perverse sheaf on Drinfeld's compactification obtained by applying the geometric Jacquet functor (alias nearby cycles) to a nondegenerate Whittaker sheaf. Namely, we describe its restrictions along the defect stratification in terms of the Langlands dual Lie algebra, in particular showing that this nearby cycles sheaf is tilting. We also describe the subquotients of the monodromy filtration using the Picard-Lefschetz oscillators introduced by S. Schieder, including...
Topics: Algebraic Geometry, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.04375
Arxiv.org
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Euler and Navier-Stokes have variant systems with dynamical invariance of helicity and thus (weak) topological equivalence, allowing a strong `frozen-in' (to, or, dually, `Lie-carried' by the \textit{virtual} velocity $\bm{V}$) formulation of the vorticity with a flavor of `inverse Helmholtz theorem'. We remark on the non-ideal (statistical) topological fluid mechanics (TFM) for (1) the Constantin-Iyer formulation of Navier-Stokes, (2) our own extension of the Gallavotti-Cohen type dynamical...
Topics: Physics, Mathematical Physics, Fluid Dynamics, Nonlinear Sciences, Chaotic Dynamics, Mathematics
Source: http://arxiv.org/abs/1702.04447
Arxiv.org
by Tanmay Maji; Dipankar Chakrabarti
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We present all the leading twist T-even TMDs in the light-front quark diquark model(LFQDM) and study the relations among them. The model contains both the scalar and vector diquarks with the light front wave functions modeled from the soft-wall AdS/QCD prediction. The $x-p^2_\perp$ factorization used in phenomenological extraction for TMDs is observed in this model. We present the results for the quark densities and the transverse shape of proton. The shape of the transversely polarized proton...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.04557
Arxiv.org
by S. L. A. de Queiroz; R. B. Stinchcombe
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We present a simplified description for spin-dependent electronic transport in honeycomb-lattice structures with spin-orbit interactions, using generalizations of the stochastic non-equilibrium model known as the totally asymmetric simple exclusion process. Mean field theory and numerical simulations are used to study currents, density profiles and current polarization in quasi- one dimensional systems with open boundaries, and externally-imposed particle injection ($\alpha$) and ejection...
Topics: Statistical Mechanics, Condensed Matter, Mesoscale and Nanoscale Physics
Source: http://arxiv.org/abs/1702.04553
Arxiv.org
by Elizabeth Gross; Sonja Petrović; Donald Richards; Despina Stasi
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Multiple root estimation problems in statistical inference arise in many contexts in the literature. In the context of maximum likelihood estimation, the existence of multiple roots causes uncertainty in the computation of maximum likelihood estimators using hill-climbing algorithms, and consequent difficulties in the resulting statistical inference. In this paper, we study the multiple roots phenomenon in maximum likelihood estimation for factor analysis. We prove that the corresponding...
Topics: Statistics Theory, Statistics, Mathematics
Source: http://arxiv.org/abs/1702.04477
Arxiv.org
by Ady Cambraia; Marcos Craizer
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Given 2 points of a smooth hypersurface, their mid-hyperplane is the hyperplane passing through their mid-point and the intersection of their tangent spaces. In this paper we study the envelope of these mid-hyperplanes (EMH) at pairs whose tangent spaces are transversal. We prove that this envelope consists of centers of conics having contact of order at least 3 with the hypersurface at both points. Moreover, we describe general conditions for the EMH to be a smooth hypersurface. These results...
Topics: Differential Geometry, Mathematics
Source: http://arxiv.org/abs/1702.04611
Arxiv.org
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Let ${\cal I}_n$ be the symmetric inverse semigroup on $X_n = \{1, 2, \ldots , n\}$ and let ${\cal DDP}_n$ and ${\cal ODDP}_n$ be its subsemigroups of order-decreasing partial isometries and of order-preserving and order-decreasing partial isometries of $X_n$, respectively. In this paper we investigate the cardinalities of some equivalences on ${\cal DDP}_n$ and ${\cal ODDP}_n$ which lead naturally to obtaining the order of the semigroups
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1702.04485
Arxiv.org
by Sumaira Saleem Akhtar; Tahir Hussain; Ashfaque Hussain Bokhari; Fawad Khan
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Considering the degenerate and non-degenerate cases, we provide a complete classification of static plane symmetric spacetimes according to conformal Ricci collineations (CRCs) and conformal matter collineations (CMCs). In case of non-degenerate Ricci tensor, a general form of vector field generating CRCs is found in terms of unknown functions of t and x, subject to some integrability conditions. The integrability conditions are then solved in different cases depending upon the nature of Ricci...
Topics: General Relativity and Quantum Cosmology, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1702.04637
Arxiv.org
by Akm Ashiquzzaman; Abdul Kawsar Tushar
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Handwritten character recognition is an active area of research with applications in numerous fields. Past and recent works in this field have concentrated on various languages. Arabic is one language where the scope of research is still widespread, with it being one of the most popular languages in the world and being syntactically different from other major languages. Das et al. \cite{DBLP:journals/corr/abs-1003-1891} has pioneered the research for handwritten digit recognition in Arabic. In...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1702.04663
Arxiv.org
by M. Sharif; Saadia Mumtaz
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This paper is devoted to study the phase space analysis of isotropic and homogenous universe model by taking a noninteracting mixture of electromagnetic and viscous radiating fluids whose viscous pressure satisfies a nonlinear version of the Israel-Stewart transport equation. We establish an autonomous system of equations by introducing normalized dimensionless variables. In order to analyze stability of the system, we find corresponding critical points for different values of the parameters....
Topic: General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1702.04716
Arxiv.org
by A. Arbona; B. Miñano; A. Rigo; C. Bona; C. Palenzuela; A. Artigues; C. Bona-Casas; J. Massó
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Simflowny is an open platform which automatically generates parallel code of scientific dynamical models for different simulation frameworks. Here we present major upgrades on this software to support an extended set of families of models, in particular: i) a new generic family for partial differential equations, which can include spatial derivatives of any order, ii) a new family for agent based models to study complex phenomena --either on a spatial domain or on a graph--. Additionally we...
Topics: Mathematical Software, Computing Research Repository
Source: http://arxiv.org/abs/1702.04715
Arxiv.org
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We study the B ring's complex optical depth structure. The source of this structure may be the complex dynamics of the Keplerian shear and the self-gravity of the ring particles. The outcome of these dynamic effects depends sensitively on the collisional and physical properties of the particles. Two mechanisms can emerge that dominate the macroscopic physical structure of the ring: self-gravity wakes and viscous overstability. Here we study the interplay between these two mechanisms by using...
Topics: Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1702.04617
Arxiv.org
by Andrew Lohr; Doron Zeilberger
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A symbolic-computational algorithm, fully implemented in Maple, is described, that computes explicit expressions for generating functions that enable the efficient computations of the expectation, variance, and higher moments, of the random variable `sum of distances to the root', defined on any given family of rooted ordered trees (defined by degree restrictions). Taking limits, we confirm, via elementary methods, the fact, due to David Aldous, and expanded by Svante Janson and others, that...
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1702.04745
Arxiv.org
by Julian Hammer; Jan Eitzinger; Georg Hager; Gerhard Wellein
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Achieving optimal program performance requires deep insight into the interaction between hardware and software. For software developers without an in-depth background in computer architecture, understanding and fully utilizing modern architectures is close to impossible. Analytic loop performance modeling is a useful way to understand the relevant bottlenecks of code execution based on simple machine models. The Roofline Model and the Execution-Cache-Memory (ECM) model are proven approaches to...
Topics: Computing Research Repository, Performance
Source: http://arxiv.org/abs/1702.04653
Arxiv.org
by Moa Apagodu
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We provide both human and computer (even better collaboration between the two) proofs to four recent American Mathematical Monthly problems, namely problem 11876, problem 11876, problem 11876, and problem 11876. We also show that problem 11928 may lead to interesting combinatorial identities.
Topics: Number Theory, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1702.04821
Arxiv.org
by Chien-Yi Wang; Shirin Saeedi Bidokhti; Michele Wigger
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Improved lower bounds on the average and the worst-case rate-memory tradeoffs for the Maddah-Ali&Niesen coded caching scenario are presented. For any number of users and files and for arbitrary cache sizes, the multiplicative gap between the exact rate-memory tradeoff and the new lower bound is less than 2.315 in the worst-case scenario and less than 2.507 in the average-case scenario.
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.04834
Arxiv.org
by Jianqing Zhu; Huanqiang Zeng; Shengcai Liao; Zhen Lei; Canhui Cai; LiXin Zheng
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Person Re-IDentification (Re-ID) aims to match person images captured from two non-overlapping cameras. In this paper, a deep hybrid similarity learning (DHSL) method for person Re-ID based on a convolution neural network (CNN) is proposed. In our approach, a CNN learning feature pair for the input image pair is simultaneously extracted. Then, both the element-wise absolute difference and multiplication of the CNN learning feature pair are calculated. Finally, a hybrid similarity function is...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1702.04858
Arxiv.org
by Menglei Zhang; Michele Polese; Marco Mezzavilla; Sundeep Rangan; Michele Zorzi
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Communications at mmWave frequencies will be a key enabler of the next generation of cellular networks, due to the multi-Gbps rate that can be achieved. However, there are still several problems that must be solved before this technology can be widely adopted, primarily associated with the interplay between the variability of mmWave links and the complexity of mobile networks. An end-to-end network simulator represents a great tool to assess the performance of any proposed solution to meet the...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.04822
Arxiv.org
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We have used a realistic nuclear potential, AV18, and a many body technique, the lowest order constraint variational (LOCV) approach, to calculate the properties of hot magnetized nuclear matter. By investigating the free energy, spin polarization parameter, and symmetry energy, we have studied the temperature and magnetic field dependence of the saturation properties of magnetized nuclear matter. In addition, we have calculated the equation of state of magnetized nuclear matter at different...
Topics: Nuclear Theory, Solar and Stellar Astrophysics, Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.04765
Arxiv.org
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This is the first part of an oral history interview on the lifelong involvement of Joel Lebowitz in the development of statistical mechanics. Here the covered topics include the formative years, which overlapped the tragic period of Nazi power and World War II in Europe, the emigration to the United States in 1946 and the schooling there. It also includes the beginnings and early scientific works with Peter Bergmann, Oliver Penrose and many others. The second part will appear in a forthcoming...
Topics: History and Philosophy of Physics, Physics
Source: http://arxiv.org/abs/1702.04810
Arxiv.org
by Marc Goessling; Yali Amit
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We present a new approach for learning compact and intuitive distributed representations with binary encoding. Rather than summing up expert votes as in products of experts, we employ for each variable the opinion of the most reliable expert. Data points are hence explained through a partitioning of the variables into expert supports. The partitions are dynamically adapted based on which experts are active. During the learning phase we adopt a smoothed version of this model that uses separate...
Topics: Learning, Machine Learning, Statistics, Computing Research Repository
Source: http://arxiv.org/abs/1702.04832
Arxiv.org
by John R. Parker; Li-Jie Sun
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In this paper we will consider the 2-fold symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2pi/p with p no smaller than 2. We will mainly concentrate on the groups where some elements are elliptic of finite order. Then we will classify all such groups which are candidates for being discrete. There are only 4 types.
Topics: Algebraic Topology, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1702.04888
Arxiv.org
by Tarik Aougab; Ian Biringer; Jonah Gaster
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We prove that there is an algorithm to determine if a given finite graph is an induced subgraph of a given curve graph.
Topics: Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1702.04757
Arxiv.org
by Wafa Badreddine; Maria Potop-Butucaru
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Wireless Body Area Networks (WBAN) open an interdisciplinary area within Wireless Sensor Networks (WSN) research, with a tremendous impact in healthcare area where sensors are used to monitor, collect and transmit biological parameters of the human body. We propose the rst network-MAC cross-layer broadcast protocol in WBAN. Our protocol, evaluated in the OMNET++ simulator enriched with realistic human body mobility models and channel models issued from the recent research on biomedical and...
Topics: Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1702.05031
Arxiv.org
by Janusz A. Brzozowski
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We survey recent results concerning the complexity of regular languages represented by their minimal deterministic finite automata. In addition to the quotient complexity of the language -- which is the number of its (left) quotients, and is the same as its state complexity -- we also consider the size of its syntactic semigroup and the quotient complexity of its atoms -- basic components of every regular language. We then turn to the study of the quotient/state complexity of common operations...
Topics: Formal Languages and Automata Theory, Computing Research Repository
Source: http://arxiv.org/abs/1702.05024
Arxiv.org
by Lucas Chesnel; Sergei A. Nazarov; Vincent Pagneux
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We consider a time-harmonic wave problem, appearing for example in water-waves and in acoustics, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric with respect to an axis orthogonal to the direction of propagation of waves. Moreover, the waveguide contains one branch of finite length. We analyse the behaviour of the complex scattering coefficients $\mathcal{R}$, $\mathcal{T}$ as the length of the...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.05007
Arxiv.org
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We consider non-trivial irreducible tensor products of modular representations of a symmetric group $S_n$ in characteristic 2 for even $n$ completing the proof of a classification conjecture of Gow and Kleshchev about such products.
Topics: Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.05258
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by Giulio Ciraolo; Luigi Vezzoni
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We consider an overdetermined Serrin's type problem in space forms and we generalize Weinberger's proof in [Arch. Rational Mech. Anal., 43 (1971)] by introducing a suitable P-function.
Topics: Differential Geometry, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.05277
In this paper we consider a mean-field backward stochastic differential equation (BSDE) driven by a Brownian motion and an independent Poisson random measure. Translating the splitting method introduced by Buckdahn, Li, Peng and Rainer [6] to BSDEs, the existence and the uniqueness of the solution $(Y^{t,\xi}, Z^{t,\xi}, H^{t,\xi})$, $(Y^{t,x,P_\xi}, Z^{t,x,P_\xi}, H^{t,x,P_\xi})$ of the split equations are proved. The first and the second order derivatives of the process $(Y^{t,x,P_\xi},...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1702.05213
Arxiv.org
by Gang Yang; Mohammad R. Vedady Moghadam; Rui Zhang
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In magnetic resonant coupling (MRC) enabled multiple-input multiple-output (MIMO) wireless power transfer (WPT) systems, multiple transmitters (TXs) each with one single coil are used to enhance the efficiency of simultaneous power transfer to multiple single-coil receivers (RXs) by constructively combining their induced magnetic fields at the RXs, a technique termed "magnetic beamforming". In this paper, we study the optimal magnetic beamforming design in a multi-user MIMO MRC-WPT...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.05272
Arxiv.org
by Tuhin Sahai; Stefan Klus; Michael Dellnitz
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In this work, we construct heuristic approaches for the traveling salesman problem (TSP) based on embedding the discrete optimization problem into continuous spaces. We explore multiple embedding techniques -- namely, the construction of dynamical flows on the manifold of orthogonal matrices and associated Procrustes approximations of the TSP cost function. In particular, we find that the Procrustes approximation provides a competitive biasing approach for the Lin--Kernighan heuristic. The...
Topics: Mathematics, Dynamical Systems, Computing Research Repository, Discrete Mathematics
Source: http://arxiv.org/abs/1702.05224
Arxiv.org
by Y. M. Poluektov; A. M. Arslanaliev
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The system of dynamic equations for Bose-Einstein condensate at zero temperature with account of pair correlations is obtained. The spectrum of small oscillations of the condensate in a spatially homogeneous state is explored. It is shown that this spectrum has two branches: the sound wave branch and branch with an energy gap.
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1702.06020