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Arxiv.org
by Xiao Liu; Zong-Quan Zhou; Yi-Lin Hua; Chuan-Feng Li; Guang-Can Guo
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The construction of large-scale quantum networks relies on the development of practical quantum repeaters. Many approaches have been proposed with the goal of outperforming the direct transmission of photons, but most of them are inefficient or difficult to implement with current technology. Here, we present a protocol that uses a semi-hierarchical structure to improve the entanglement distribution rate while reducing the requirement of memory time to a range of tens of milliseconds. This...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1701.05718
Arxiv.org
by Ryan M. Causey
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Given a Banach space $X$, a $w^*$-compact subset of $X^*$, and $1
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1701.06226
Arxiv.org
by Xinping Yi; Giuseppe Caire
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Partial clique covering is one of the most basic coding schemes for index coding problems, generalizing clique and cycle covering on the side information digraph and further reducing the achievable broadcast rate. In this paper, we start with partition multicast, a special case of partial clique covering with cover number 1, and show that partition multicast achieves the optimal broadcast rate of the multiple-unicast index coding if and only if the side information digraph is partially acyclic....
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.06181
Arxiv.org
by Peyman Mohajerin Esfahani; Tobias Sutter; Daniel Kuhn; John Lygeros
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We consider linear programming (LP) problems in infinite dimensional spaces that are in general computationally intractable. Under suitable assumptions, we develop an approximation bridge from the infinite-dimensional LP to tractable finite convex programs in which the performance of the approximation is quantified explicitly. To this end, we adopt the recent developments in two areas of randomized optimization and first order methods, leading to a priori as well as a posterior performance...
Topics: Optimization and Control, Systems and Control, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.06379
Arxiv.org
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Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest possible value for the index min(p,q) of the metric. When the index is optimal and G non-exceptional, we prove that the metric must be conformally flat, confirming the idea that in a "good" dynamical context, a geometry is determined by its automorphisms group. This completes anterior investigations on...
Topics: Differential Geometry, Mathematics
Source: http://arxiv.org/abs/1701.06514
Arxiv.org
by Sandro Bettin
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We give a reciprocity formula for a two-variable sum where the variables satisfy a linear congruence condition. We also prove that such sum is a measure of how well a rational is approximable from below and show that the reciprocity formula is a simple consequence of this fact.
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1701.06614
Arxiv.org
by Kazumasa Nomura; Paul Terwilliger
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A Leonard pair is a pair of diagonalizable linear transformations of a finite-dimensional vector space, each of which acts in an irreducible tridiagonal fashion on an eigenbasis for the other one. Let $\mathbb F$ denote an algebraically closed field, and fix a nonzero $q \in \mathbb F$ that is not a root of unity. The universal double affine Hecke algebra (DAHA) $\hat{H}_q$ of type $(C_1^\vee,C_1)$ is the associative $\mathbb F$-algebra defined by generators $\lbrace t_i^{\pm 1}\rbrace_{i=0}^3$...
Topics: Quantum Algebra, Mathematics
Source: http://arxiv.org/abs/1701.06089
Arxiv.org
by Glenn G. Chappell; John Gimbel; Chris Hartman
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Given a graph G, the domination number gamma(G) of G is the minimum order of a set S of vertices such that each vertex not in S is adjacent to some vertex in S. Equivalently, label the vertices from {0, 1} so that the sum over each closed neighborhood is at least one; the minimum value of the sum of all labels, with this restriction, is the domination number. The fractional domination number gamma_f(G) is defined in the same way, except that the vertex labels are chosen from [0, 1]. Given an...
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1701.05961
Arxiv.org
by Iddo Bentov; Ranjit Kumaresan; Andrew Miller
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We present efficient protocols for amortized secure multiparty computation with penalties and secure cash distribution, of which poker is a prime example. Our protocols have an initial phase where the parties interact with a cryptocurrency network, that then enables them to interact only among themselves over the course of playing many poker games in which money changes hands. The high efficiency of our protocols is achieved by harnessing the power of stateful contracts. Compared to the limited...
Topics: Cryptography and Security, Computing Research Repository
Source: http://arxiv.org/abs/1701.06726
Arxiv.org
by Joseph A. Quinn
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We identify and study a class of hyperbolic 3-manifolds (which we call Macfarlane manifolds) whose quaternion algebras admit a geometric interpretation analogous to Hamilton's classical model for Euclidean rotations. We characterize these manifolds arithmetically, and show that infinitely many commensurability classes of them arise in diverse topological and arithmetic settings. We then use this perspective to introduce a new method for computing their Dirichlet domains. We also give similar...
Topics: Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1701.06712
Arxiv.org
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We study zero-temperature quantum phase fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree method. In a regime of mesoscopic particle numbers and moderate contact couplings, it is shown that the phase-fluctuating condensate is properly described as a {\em fragmented condensate}. In addition, we demonstrate that the spatial dependence of the amplitude of phase fluctuations significantly deviates from...
Topics: Quantum Gases, Condensed Matter, Quantum Physics
Source: http://arxiv.org/abs/1701.06821
Arxiv.org
by H. W. Peng; Q. Y. Peng; N. Wang
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In order to obtain high precision CCD positions of Himalia, the sixth Jovian satellite, a total of 598 CCD observations have been obtained during the years 2015-2016. The observations were made by using the 2.4 m and 1 m telescopes administered by Yunnan Observatories over 27 nights. Several factors which would influence the positional precision of Himalia were analyzed, including the reference star catalogue used, the geometric distortion and the phase effect. By taking advantage of its...
Topics: Instrumentation and Methods for Astrophysics, Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1701.07142
Arxiv.org
by Cristina Romero-Cañizales; Antxon Alberdi; Claudio Ricci; Patricia Arévalo; Miguel A. Pérez-Torres; John E. Conway; Rob J. Beswick; Marco Bondi; Tom W. B. Muxlow; Megan K. Argo; Franz E. Bauer; Andreas Efstathiou; Rubén Herrero-Illana; Seppo Mattila; Stuart D. Ryder
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IC883 is a luminous infrared galaxy (LIRG) classified as a starburst-active galactic nucleus (AGN) composite. In a previous study we detected a low-luminosity AGN (LLAGN) radio candidate. Here we report on our radio follow-up at three frequencies which provides direct and unequivocal evidence of the AGN activity in IC883. Our analysis of archival X-ray data, together with the detection of a transient radio source with luminosity typical of bright supernovae, give further evidence of the ongoing...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1701.07025
Arxiv.org
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Recently, a new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced. The mathematical background goes back to the regular mosaics in the hyperbolic plane. In this article, we investigate the paths in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}$, in which the binary recursive sequences $f_{n}=\alpha f_{n-1}\pm f_{n-2}$ are represented ($\alpha\in\mathbb{N}^+$).
Topics: Number Theory, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1701.07074
Arxiv.org
by Francesca Bisconti
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EUSO-TA is a pathfinder experiment for the space based JEM-EUSO mission for the detection of ultra-high energy cosmic rays. EUSO-TA is an high-resolution fluorescence telescope installed in front of the Black Rock Mesa fluorescence detectors of the Telescope Array (TA) experiment, in Utah (USA). At the TA site, a Central Laser Facility is installed for calibration purposes, since it emits laser beams with known energy and geometry. EUSO-TA consists of two 1 $\mbox{m}^2$ Fresnel lenses, with a...
Topics: High Energy Astrophysical Phenomena, Instrumentation and Methods for Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1701.07091
Arxiv.org
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In this paper, we investigate the signal shaping in a two-user discrete time memoryless Gaussian multiple-access channel (MAC) with computation. It is shown that by optimizing input probability distribution, the transmission rate per transmitter is beyond the cut-set bound. In contrast with the single-user discrete memoryless channel, the Maxwell-Boltzmann distribution is no longer a good approximation to the optimal input probability distribution for this discrete-time Gaussian MAC with...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.07394
Arxiv.org
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Recent theoretical studies found that mixtures of active and passive colloidal particles phase separate but only at very high activity ratio. The high value poses serious obstacles for experimental exploration of this phenomenon. Here we show using simulations that when the active and passive particles are polymers, the critical activity ratio decreases with the polymer length. This not only facilitates the experiments but also has implications on the DNA organization in living cell nuclei....
Topics: Physics, Condensed Matter, Soft Condensed Matter, Biological Physics
Source: http://arxiv.org/abs/1701.07362
Arxiv.org
by Nils Bruin; Tom Fisher
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Let $C$ be a $4$-cover of an elliptic curve $E$, written as a quadric intersection in $\mathbb{P}^3$. Let $E'$ be another elliptic curve with $4$-torsion isomorphic to that of $E$. We show how to write down the $4$-cover $C'$ of $E'$ with the property that $C$ and $C'$ are represented by the same cohomology class on the $4$-torsion. In fact we give equations for $C'$ as a curve of degree $8$ in $\mathbb{P}^5$. We also study the K3-surfaces fibred by the curves $C'$ as we vary $E'$. In...
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1701.07528
Arxiv.org
by Md. Shaddam Hossain Bagmar; Wasimul Bari; A. H. M. Mahbub Latif
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Standard optimality criteria (e.g. A-, D-optimality criterion, etc.) have been commonly used for obtaining optimal designs. For a given statistical model, standard criteria assume the error variance is known at the design stage. However, in practice the error variance is estimated to make inference about the model parameters. Modified criteria are defined as a function of the standard criteria and the corresponding error degrees of freedom, which may lead to extreme optimal design. Compound...
Topics: Statistics, Methodology
Source: http://arxiv.org/abs/1701.07577
Arxiv.org
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Let X be a normal projective variety defined over an algebraically closed field of arbi-trary characteristic. We study the sequence of intermediate degrees of the iterates of a dominantrational selfmap of X, recovering former results by Dinh, Sibony [DS05b], and by Truong [Tru16].Precisely, we give a new proof of the submultiplicativity properties of these degrees and of its bira-tional invariance. Our approach exploits intensively positivity properties in the space of numericalcycles of...
Topics: Algebraic Geometry, Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1701.07760
Arxiv.org
by Peter Ralli
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We study the curvature-dimension inequality in regular graphs. We develop techniques for calculating the curvature of such graphs, and we give characterizations of classes of graphs with positive, zero, and negative curvature. Our main result is to compare the curvature-dimension inequality in these classes to the so-called Ollivier curvature. A consequence of our results is that in the case that the graph contains no subgraph isomorphic to either $K_3$ or $K_{2,3}$ these curvatures usually...
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1701.08205
Arxiv.org
by Upal Mahbub; Sayantan Sarkar; Rama Chellappa
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Generic face detection algorithms do not perform very well in the mobile domain due to significant presence of occluded and partially visible faces. One promising technique to handle the challenge of partial faces is to design face detectors based on facial segments. In this paper two such face detectors namely, SegFace and DeepSegFace, are proposed that detect the presence of a face given arbitrary combinations of certain face segments. Both methods use proposals from facial segments as input...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1701.08341
Arxiv.org
by Alexander Y. Kruger
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The article continues the study of the 'regular' arrangement of a collection of sets near a point in their intersection. Such regular intersection or, in other words, transversality properties are crucial for the validity of qualification conditions in optimization as well as subdifferential, normal cone and coderivative calculus, and convergence analysis of computational algorithms. The main motivation for the development of the transversality theory of collections of sets in this article...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1701.08246
A generalization of the forest technique procedure --- the $R^{-1}$-operation---is elaborated and then employed to treat a variety of problems. First, it is employed to reveal the underlying simple structure of the Bogoliubov-Parasiuk renormalization prescription based on momentum subtractions. Second, we use this structure to derive a generalized Zimmermann identity connecting two different renormalized versions of a given Feynman integral. Third, the recursive procedure to minimally subtract...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1701.08627
Arxiv.org
by Suho Oh; David Xiang
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A positroid is a special case of a realizable matroid, that arose from the study of totally nonnegative part of the Grassmannian by Postnikov. Postnikov demonstrated that positroids are in bijection with certain interesting classes of combinatorial objects, such as Grassmann necklaces and decorated permutations. Oh showed that the bases of a positroid can be described nicely in terms of the Grassmann necklace and decorated permutations. In this paper, we show how do describe the flats of a...
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1701.08483
Arxiv.org
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In the framework of the application of the Boundary Control method to solving the inverse dynamical problems for the one-dimensional Schr\"odinger and Dirac operators on the half-line and semi-infinite discrete Schr\"odinger operator, we establish the connections with the method of De Branges: for each of the system we construct the De Branges space and give a natural dynamical interpretation of all its ingredients: the set of function the De Brange space consists of, the scalar...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1701.08424
Arxiv.org
by C. -T. J. Chen; W. N. Brandt; A. E. Reines; G. Lansbury; D. Stern; D. M. Alexander; F. Bauer; A. Del Moro; P. Gandhi; F. A. Harrison; R. C. Hickox; M. J. Koss; L. Lanz; B. Luo; J. R. Mullaney; C. Ricci; J. R. Trump
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We present a sample of 10 low-mass active galactic nuclei (AGNs) selected from the 40-month NuSTAR serendipitous survey. The sample is selected to have robust NuSTAR detections at $3 - 24$~keV, to be at $z < 0.3$, and to have optical r-band magnitudes at least 0.5~mag fainter than an $L_\star$ galaxy at its redshift. The median values of absolute magnitude, stellar mass and 2--10 X-ray luminosity of our sample are $\langle M_r\rangle = -20.03$, $\langle M_\star\rangle =...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1701.08768
Arxiv.org
by Niklas Beisert; Aleksander Garus; Matteo Rosso
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In this letter we establish Yangian symmetry of planar N=4 super-Yang-Mills theory. We prove that the classical equations of motion of the model close onto themselves under the action of Yangian generators. Moreover we propose an off-shell extension of our statement which is equivalent to the invariance of the action and prove that it is exactly satisfied. We assert that our relationship serves as a criterion for integrability in planar gauge theories by explicitly checking that it applies to...
Topics: High Energy Physics - Theory, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1701.09162
Arxiv.org
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The notion of an automaton over a changing alphabet $X=(X_i)_{i\geq 1}$ is used to define and study automorphism groups of the tree $X^*$ of finite words over $X$. The concept of bi-reversibility for Mealy-type automata is extended to automata over a changing alphabet. It is proved that a non-abelian free group can be generated by a two-state bi-reversible automaton over a changing alphabet $X=(X_i)_{i\geq 1}$ if and only if $X$ is unbounded. The characterization of groups generated by a...
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1702.00435
Arxiv.org
by Manfred Denker; Xiaofei Zheng
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We prove a conditional local limit theorem for discrete-time fractional Brownian motions (dfBm) with Hurst parameter 3/4
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1702.00427
Arxiv.org
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The traditional view of the morphology-spin connection is being challenged by recent integral-field-unit observations, as the majority of early-type galaxies are found to have a rotational component that is often as large as a dispersion component. Mergers are often suspected to be critical in galaxy spin evolution, yet the details of their roles are still unclear. We present the first results on the spin evolution of galaxies in cluster environments through a cosmological hydrodynamic...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1702.00517
Arxiv.org
by R. F. vom Marttens; L. Casarini; W. Zimdahl; W. S. Hipólito-Ricaldi; D. F. Mota
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Yes, but only for a parameter value that makes it almost coincide with the standard model. We reconsider the cosmological dynamics of a generalized Chaplygin gas (gCg) which is split into a cold dark matter (CDM) part and a dark energy (DE) component with constant equation of state. This model, which implies a specific interaction between CDM and DE, has a $\Lambda$CDM limit and provides the basis for studying deviations from the latter. Including matter and radiation, we use the (modified)...
Topics: General Relativity and Quantum Cosmology, High Energy Physics - Theory, Cosmology and Nongalactic...
Source: http://arxiv.org/abs/1702.00651
Arxiv.org
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We perform a Hamiltonian analysis and prove that a large class of scalar-tensor theories whose Lagrangian is given by a generic function $F\left(K_{ab},N,R_{ab},h^{ab},\nabla_a,t\right)$ is free from the Ostrogradsky ghost, and thus these theories contain at most 3 degrees of freedom at classical level.
Topics: General Relativity and Quantum Cosmology, High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.00696
Arxiv.org
by Georgy A. Kazakov; Thorsten Schumm; Simon Stellmer
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The presently accepted value of the energy splitting of the Th-229 ground-state doublet has been obtained on the basis of undirect gamma spectroscopy measurements by Beck et al., Phys. Rev. Lett. 98, 142501 (2007). Since then, a number of experiments set out to measure the isomer energy directly, however none of them resulted in an observation of the transition. Here we perform an analysis to identify the parameter space of isomer energy and branching ratio that is consistent with the Beck et...
Topic: Nuclear Experiment
Source: http://arxiv.org/abs/1702.00749
Arxiv.org
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We present new X-ray (Chandra) and radio (ATCA) observations of the z=0.09 radio galaxy PKS B1416-493, a member of the southern equivalent of the 3CRR sample. We find the source to be embedded in a previously unrecognized bright kT=4.6 keV non cool-core cluster. The discovery of new clusters of such high temperature and luminosity within z=0.1 is rare. The radio source was chosen for observation based on its intermediate FRI/II morphology. We identify a cavity coincident with the northeast...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.00685
Arxiv.org
by Alonso Contreras-Astorga; Axel Schulze-Halberg
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A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With this recursive form regularity conditions for the generated potentials can be analyzed. Moreover, as byproducts we obtain new representations of solutions to Schr\"odinger equations that underwent a confluent SUSY-transformation.
Topics: Mathematical Physics, Quantum Physics, Mathematics
Source: http://arxiv.org/abs/1702.00843
Arxiv.org
by Rajan Amit Mehta; Xiang Tang
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We propose a definition of symplectic 2-groupoid which includes integrations of Courant algebroids that have been recently constructed. We study in detail the simple but illustrative case of constant symplectic 2-groupoids. We show that the constant symplectic 2-groupoids are, up to equivalence, in one-to-one correspondence with a simple class of Courant algebroids that we call constant Courant algebroids. Furthermore, we find a correspondence between certain Dirac structures and Lagrangian...
Topics: Differential Geometry, Algebraic Geometry, Symplectic Geometry, Mathematics
Source: http://arxiv.org/abs/1702.01139
Arxiv.org
by Varun Jog; Venkat Anantharam
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The entropy of a random variable is well-known to equal the exponential growth rate of the volumes of its typical sets. In this paper, we show that for any log-concave random variable $X$, the sequence of the $\lfloor n\theta \rfloor^{\text{th}}$ intrinsic volumes of the typical sets of $X$ in dimensions $n \geq 1$ grows exponentially with a well-defined rate. We denote this rate by $h_X(\theta)$, and call it the $\theta^{\text{th}}$ intrinsic entropy of $X$. We show that $h_X(\theta)$ is a...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.01203
Arxiv.org
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Inside a fixed bounded domain $\Omega$ of the plane, we look for the best compact connected set $K$, of given perimeter, in order to maximize the first Dirichlet eigenvalue $\lambda_1(\Omega\setminus K)$. We discuss some of the qualitative properties of the maximizers, passing toward existence, regularity and geometry. Then we study the problem in specific domains: disks, rings, and, more generally, disks with several holes. In these situations, we prove symmetry and, in some cases non symmetry...
Topics: Spectral Theory, Optimization and Control, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.01307
Arxiv.org
by A. O. Clarke; G. Heald; T. Jarrett; J. D. Bray; M. J. Hardcastle; T. M. Cantwell; A. M. M. Scaife; M. Brienza; A. Bonafede; R. P. Breton; J. W. Broderick; D. Carbone; J. H. Croston; J. S. Farnes; J. J. Harwood; V. Heesen; A. Horneffer; A. J. van der Horst; M. Iacobelli; W. Jurusik; G. Kokotanekov; J. P. McKean; L. K. Morabito; D. D. Mulcahy; B. S. Nikiel-Wroczynski; E. Orru; R. Paladino; M. Pandey-Pommier; M. Pietka; R. Pizzo; L. Pratley; C. J. Riseley; H. J. A. Rottgering; A. Rowlinson; J....
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We report on the discovery in the LOFAR Multifrequency Snapshot Sky Survey (MSSS) of a giant radio galaxy (GRG) with a projected size of $2.56 \pm 0.07$ Mpc projected on the sky. It is associated with the galaxy triplet UGC 9555, within which one is identified as a broad-line galaxy in the Sloan Digital Sky Survey (SDSS) at a redshift of $0.05453 \pm 1 \times 10^{-5} $, and with a velocity dispersion of $215.86 \pm 6.34$ km/s. From archival radio observations we see that this galaxy hosts a...
Topics: Astrophysics of Galaxies, Astrophysics, Cosmology and Nongalactic Astrophysics
Source: http://arxiv.org/abs/1702.01571
Arxiv.org
by Benjamin Niedermann; Martin Nöllenburg; Ignaz Rutter
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The usefulness of technical drawings as well as scientific illustrations such as medical drawings of human anatomy essentially depends on the placement of labels that describe all relevant parts of the figure. In order to not spoil or clutter the figure with text, the labels are often placed around the figure and are associated by thin connecting lines to their features, respectively. This labeling technique is known as external label placement. In this paper we introduce a flexible and general...
Topics: Computational Geometry, Computing Research Repository
Source: http://arxiv.org/abs/1702.01799
Arxiv.org
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We propose a novel mechanism which explains cored dark matter density profile in recently observed dark matter rich dwarf spheroidal galaxies. In our scenario, dark matter particle mass decreases gradually as function of distance towards the center of a dwarf galaxy due to its interaction with a chameleon scalar. At closer distance towards galactic center the strength of attractive scalar fifth force becomes much stronger than gravity and is balanced by the Fermi pressure of dark matter cloud,...
Topics: General Relativity and Quantum Cosmology, Cosmology and Nongalactic Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1702.01882
Arxiv.org
by Benjamin Tessore; Arturo Lòpez-Ariste; Philippe Mathias; Agnès Lèbre; Julien Morin; Eric Josselin
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In the solar limb, linear polarisation is due to anisotropy of the radiation field induced by limb darkening. It is maximal when it is seen parallel to the limb and it vanishes when it is integrated over the spherically-symmetric solar disk. Therefore for distant stars, that present spherical symmetry, linear polarisation signatures are very difficult to observe. However strong linear polarisation features have been reported in the prototypical red supergiant star alpha Ori (Betelgeuse). With...
Topics: Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1702.02002
Arxiv.org
by Andy Chermak; Alex Gonzalez
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This is part I of a three-part series of papers, whose aim is to develop a theory of discrete localities. These generalize the p-local compact groups of Broto, Levi, and Oliver.
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1702.02595
Arxiv.org
by Arman Afrasiyabi; Ozan Yildiz; Baris Nasir; Fatos T. Yarman Vural; A. Enis Cetin
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In recent years, machine learning techniques based on neural networks for mobile computing become increasingly popular. Classical multi-layer neural networks require matrix multiplications at each stage. Multiplication operation is not an energy efficient operation and consequently it drains the battery of the mobile device. In this paper, we propose a new energy efficient neural network with the universal approximation property over space of Lebesgue integrable functions. This network, called,...
Topics: Learning, Neural and Evolutionary Computing, Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1702.02676
Arxiv.org
by Nicola Guglielmi; Mert Gurbuzbalaban; Tim Mitchell; Michael Overton
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We propose a fast method to approximate the real stability radius of a linear dynamical system with output feedback, where the perturbations are restricted to be real valued and bounded with respect to the Frobenius norm. Our work builds on a number of scalable algorithms that have been proposed in recent years, ranging from methods that approximate the complex or real pseudospectral abscissa and radius of large sparse matrices (and generalizations of these methods for pseudospectra to spectral...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1702.02486
Arxiv.org
by Markus Staudacher; Gerhard Kramer; Wolfgang Zirwas; Berthold Panzner; Rakash Sivasiva Ganesan
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A low cost solution for constructing receiver signal points is investigated that combines a large number of constrained radio frequency (RF) frontends with a limited number of full RF chains. The constrained RF front ends have low cost and are limited to on/off switching of antenna elements and a small number of phases. Severe degradations are typically observed for multi-user MIMO for these simple on/off antenna arrays. A few full RF frontends are shown to compensate for the signal errors of...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.02414
In this paper, we establish multilinear BMO estimates for commutators of multilinear fractional maximal and integral operators both on product generalized Morrey spaces and product generalized vanishing Morrey spaces, respectively. Similar results are still valid for commutators of multilinear maximal and singular integral operators.
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1702.02411
Arxiv.org
by Saeed Akhoondian Amiri; Patrice Ossona de Mendez; Roman Rabinovich; Sebastian Siebertz
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We provide a new constant factor approximation algorithm for the (connected) distance-$r$ dominating set problem on graph classes of bounded expansion. Classes of bounded expansion include many familiar classes of sparse graphs such as planar graphs and graphs with excluded (topological) minors, and notably, these classes form the most general subgraph closed classes of graphs for which a sequential constant factor approximation algorithm for the distance-$r$ dominating set problem is currently...
Topics: Distributed, Parallel, and Cluster Computing, Computing Research Repository, Data Structures and...
Source: http://arxiv.org/abs/1702.02848
Arxiv.org
by J. Jaeckel; P. C. Malta; J. Redondo
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We determine limits from SN 1987a on massive axion-like particles (ALPs) with masses in the 10 keV - 100 MeV range and purely coupled to two photons. ALPs produced in the core collapse escape from the star and decay into photons that can be observed as a delayed and diffuse burst. We discuss the time and angular distribution of such a signal. Looking into the future we also estimate the possible improvements if the red supergiant Betelgeuse explodes in a supernova event.
Topics: High Energy Physics - Phenomenology, Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.02964
Arxiv.org
by Michael P. Tuite
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We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.
Topics: Quantum Algebra, Mathematics
Source: http://arxiv.org/abs/1702.02902
Arxiv.org
by Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken
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Governing equations of motion for a viscous incompressible material surface are derived from the balance laws of continuum mechanics. The surface is treated as a time-dependent smooth orientable manifold of codimension one in an ambient Euclidian space. We use elementary tangential calculus to derive the governing equations in terms of exterior differential operators in Cartesian coordinates. The resulting equations can be seen as the Navier-Stokes equations posed on an evolving manifold. We...
Topics: Fluid Dynamics, Physics, Mathematical Physics, Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1702.02989
Arxiv.org
by Zachary J. Grey; Paul G. Constantine
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Design and optimization benefit from understanding the dependence of a quantity of interest (e.g., a design objective or constraint function) on the design variables. A low-dimensional active subspace, when present, identifies important directions in the space of design variables; perturbing a design along the active subspace associated with a particular quantity of interest changes that quantity more, on average, than perturbing the design orthogonally to the active subspace. This...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1702.02909
Arxiv.org
by John L. Helm; Thomas P. Billam; Ana Rakonjac; Simon L. Cornish; Simon A. Gardiner
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We propose a method of atom-interferometry using a spinor Bose--Einstein (BEC) and the well-established experimental technique of time-varying magnetic fields as a coherent beam-splitter. Our protocol creates long-lived superpositional counterflow states, which are of fundamental interest and can be made sensitive to both the Sagnac effect and magnetic fields on the sub micro-Gauss scale. We split a ring-trapped condensate, initially in the $m_f = 0$ hyperfine sub-level, into superpositions of...
Topics: Quantum Gases, Condensed Matter
Source: http://arxiv.org/abs/1701.02154
Arxiv.org
by P. Zasche; J. Jurysek; J. A. Nemravova; R. Uhlar; P. Svoboda; M. Wolf; K. Honkova; M. Masek; M. Prouza; J. Cechura; D. Korcakova; M. Slechta
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Eclipsing binaries remain crucial objects for our understanding of the universe. In particular, those that are components of multiple systems can help us solve the problem of the formation of these systems. Analysis of the radial velocities together with the light curve produced for the first time precise physical parameters of the components of the multiple systems V773 Cas, QS Aql, and BR Ind. Their visual orbits were also analyzed, which resulted in slightly improved orbital elements. What...
Topics: Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1701.02537
Arxiv.org
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This paper is concerned with rule-based programs that go wrong. The unwanted behavior of rule applications is non-termination or failure of a computation. We propose a static program analysis of the non-termination problem for recursion in the Constraint Handling Rules (CHR) language. CHR is an advanced concurrent declarative language involving constraint reasoning. It has been closely related to many other rule-based approaches, so the results are of a more general interest. In such languages,...
Topics: Logic in Computer Science, Programming Languages, Computing Research Repository, Software...
Source: http://arxiv.org/abs/1701.02648
Arxiv.org
by K. A. Lutz; V. A. Kilborn; B. Catinella; B. S. Koribalski; T. H. Brown; L. Cortese; H. Dénes; G. I. G. Józsa; O. I. Wong
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We present the HI eXtreme (HIX) galaxy survey targeting some of the most HI rich galaxies in the southern hemisphere. The 13 HIX galaxies have been selected to host the most massive HI discs at a given stellar luminosity. We compare these galaxies to a control sample of average galaxies detected in the HI Parkes All Sky Survey (HIPASS, Barnes et al. 2001). As the control sample is matched in stellar luminosity, we find that the stellar properties of HIX galaxies are similar to the control...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1701.02447
Arxiv.org
by Joya A. Deri; José M. F. Moura
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The paper presents the graph Fourier transform (GFT) of a signal in terms of its spectral decomposition over the Jordan subspaces of the graph adjacency matrix $A$. This representation is unique and coordinate free, and it leads to unambiguous definition of the spectral components ("harmonics") of a graph signal. This is particularly meaningful when $A$ has repeated eigenvalues, and it is very useful when $A$ is defective or not diagonalizable (as it may be the case with directed...
Topics: Computing Research Repository, Social and Information Networks
Source: http://arxiv.org/abs/1701.02690
Arxiv.org
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We present large-scale molecular dynamics simulations for a coarse-grained model of polymer melts in equilibrium. From detailed Rouse mode analysis we show that the time-dependent relaxation of the autocorrelation function (ACF) of modes $p$ can be well described by the effective stretched exponential function due to the crossover from Rouse to reptation regime. The ACF is independent of chain sizes $N$ for $N/p
Topics: Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1701.02702
Arxiv.org
by Dionisios Margetis; Matthias Maier; Mitchell Luskin
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By formally invoking the Wiener-Hopf method, we explicitly solve a one-dimensional, singular integral equation for the excitation of a slowly decaying electromagnetic wave, called surface plasmon-polariton (SPP), of small wavelength on a semi-infinite, flat conducting sheet irradiated by a plane wave in two spatial dimensions. This setting is germane to wave diffraction by edges of large sheets of single-layer graphene. Our analytical approach includes: (i) formulation of a functional equation...
Topics: Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1701.02784
Arxiv.org
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We show a simple example of a secret sharing scheme encoding classical secret to quantum shares that can realize an access structure impossible by classical information processing with limitation on the size of each share. The example is based on quantum stabilizer codes.
Topics: Cryptography and Security, Information Theory, Quantum Physics, Computing Research Repository,...
Source: http://arxiv.org/abs/1701.02911
Arxiv.org
by Mohamed Faouzi Atig; Roland Meyer; Sebastian Muskalla; Prakash Saivasan
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We study the size and the complexity of computing finite state automata (FSA) representing and approximating the downward and the upward closure of Petri net languages with coverability as the acceptance condition. We show how to construct an FSA recognizing the upward closure of a Petri net language in doubly-exponential time, and therefore the size is at most doubly exponential. For downward closures, we prove that the size of the minimal automata can be non-primitive recursive. In the case...
Topics: Logic in Computer Science, Formal Languages and Automata Theory, Computing Research Repository
Source: http://arxiv.org/abs/1701.02927
Arxiv.org
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To stretch a music piece to a given length is a common demand in people's daily lives, e.g., in audio-video synchronization and animation production. However, it is not always guaranteed that the stretched music piece is acceptable for general audience since music stretching suffers from people's perceptual artefacts. Over-stretching a music piece will make it uncomfortable for human psychoacoustic hearing. The research on music stretching resistance attempts to estimate the maximum...
Topics: Sound, Multimedia, Computing Research Repository
Source: http://arxiv.org/abs/1701.03274
Arxiv.org
by Yuan-Hang Zhang; Xie Li; Jing-Yun Xiao
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Edge detection is a classic problem in the field of image processing, which lays foundations for other tasks such as image segmentation. Conventionally, this operation is performed using gradient operators such as the Roberts or Sobel operator, which can discover local changes in intensity levels. These operators, however, perform poorly on low contrast images. In this paper, we propose an edge detector architecture for color images based on fuzzy theory and the Sobel operator. First, the R, G...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1701.03364
Arxiv.org
by Pietro Caputo; Fabio Martinelli; Fabio Lucio Toninelli
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We consider the $(2+1)$-dimensional generalized solid-on-solid (SOS) model, that is the random discrete surface with a gradient potential of the form $|\nabla\phi|^{p}$, where $p\in [1,+\infty]$. We show that at low temperature, for a square region $\Lambda$ with side $L$, both under the infinite volume measure and under the measure with zero boundary conditions around $\Lambda$, the probability that the surface is nonnegative in $\Lambda$ behaves like $\exp(-4\beta\tau_{p,\beta} L H_p(L) )$,...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1701.03327
Arxiv.org
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A compact topological space X is spectral if it is sober (i.e., every irreducible closed set is the closure of a unique singleton) and the compact open subsets of X form a basis of the topology of X, closed under finite intersections. Theorem. A topological space X is isomorphic to the spectrum of some countable Abelian {\ell}-group with unit (resp., MV-algebra) iff X is spectral, has a countable basis of open sets, and for any points x and y in the closure of a singleton {z}, either x is in...
Topics: Logic, Rings and Algebras, Mathematics
Source: http://arxiv.org/abs/1701.03494
Arxiv.org
by Andreas Damianou; Neil D. Lawrence; Carl Henrik Ek
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We present Manifold Alignment Determination (MAD), an algorithm for learning alignments between data points from multiple views or modalities. The approach is capable of learning correspondences between views as well as correspondences between individual data-points. The proposed method requires only a few aligned examples from which it is capable to recover a global alignment through a probabilistic model. The strong, yet flexible regularization provided by the generative model is sufficient...
Topics: Learning, Computing Research Repository, Machine Learning, Probability, Statistics, Mathematics
Source: http://arxiv.org/abs/1701.03449
Arxiv.org
by Robert Ferens; Marek Szykuła
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We study descriptive complexity properties of the class of regular bifix-free languages, which is the intersection of prefix-free and suffix-free regular languages. We show that there exist a single ternary universal (stream of) bifix-free languages that meet all the bounds for the state complexity basic operations (Boolean operations, product, star, and reversal). This is in contrast with suffix-free languages, where it is known that there does not exist such a stream. Then we present a stream...
Topics: Formal Languages and Automata Theory, Computing Research Repository
Source: http://arxiv.org/abs/1701.03768
Arxiv.org
by Jonatan Lenells; Fredrik Viklund
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We use methods developed in conformal field theory to produce martingale observables for systems of commuting multiple SLE curves. In the case of two curves started from distinct points and growing towards infinity, we use these observables to determine rigorously and explicitly the Green's function and Schramm's formula. As corollaries, we obtain proofs of "fusion" formulas, some of which have been predicted in the physics literature. Our approach does not need a priori information...
Topics: Probability, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1701.03698
Arxiv.org
by Sachini Jayasooriya; Mahyar Shirvanimoghaddam; Lawrence Ong; Sarah J. Johnson
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In this paper, we represent Raptor codes as multi-edge type low-density parity-check (MET-LDPC) codes, which gives a general framework to design them for higher-order modulation using MET density evolution. We then propose an efficient Raptor code design method for higher-order modulation, where we design distinct degree distributions for distinct bit levels. We consider a joint decoding scheme based on belief propagation for Raptor codes and also derive an exact expression for the stability...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.03880
Arxiv.org
by Ali Mousavi; Richard G. Baraniuk
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The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS to either non-real-time applications or scenarios where massive back-end computing is available. In this paper, we attack both of these challenges head-on by developing a new signal recovery framework we call {\em DeepInverse} that learns the inverse...
Topics: Learning, Computing Research Repository, Machine Learning, Information Theory, Statistics,...
Source: http://arxiv.org/abs/1701.03891
Arxiv.org
by Yuanfeng Xu; Zeyu Ning; Hao Zhang; Gang Ni; Hezhu Shao; Bo Peng; Xiangchao Zhang; Xiaoying He; Yongyuan Zhu; Heyuan Zhu
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Using the first-principles calculations based on density functional theory, we systematically investigate the strain-engineering (tensile and compressive strain) electronic, mechanical and transport properties of monolayer penta-SiC$_2$. By applying an in-plane tensile or compressive strain, it is easy to modulate the electronic band structure of monolayer penta-SiC$_2$, which subsequently changes the effective mass of carriers. Furthermore, the obtained electronic properties are predicted to...
Topics: Materials Science, Condensed Matter, Mesoscale and Nanoscale Physics
Source: http://arxiv.org/abs/1701.03715
Arxiv.org
by Rafah El-Khatib; Nicolas Macris
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We consider spatially coupled systems governed by a set of scalar density evolution equations. Such equations track the behavior of message-passing algorithms used, for example, in coding, sparse sensing, or constraint-satisfaction problems. Assuming that the "profile" describing the average state of the algorithm exhibits a solitonic wave-like behavior after initial transient iterations, we derive a formula for the propagation velocity of the wave. We illustrate the formula with two...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.03759
Arxiv.org
by Valentin Wüstholz; Oswaldo Olivo; Marijn J. H. Heule; Isil Dillig
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In an algorithmic complexity attack, a malicious party takes advantage of the worst-case behavior of an algorithm to cause denial-of-service. A prominent algorithmic complexity attack is regular expression denial-of-service (ReDoS), in which the attacker exploits a vulnerable regular expression by providing a carefully-crafted input string that triggers worst-case behavior of the matching algorithm. This paper proposes a technique for automatically finding ReDoS vulnerabilities in programs....
Topics: Cryptography and Security, Formal Languages and Automata Theory, Programming Languages, Computing...
Source: http://arxiv.org/abs/1701.04045
Arxiv.org
by E. Bauer; G. Garbarino; C. A. Rodríguez Peña
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The nonmesonic weak decay of $\Lambda$ hypernuclei is studied within a microscopic diagrammatic approach which is extended to include the three--nucleon induced mechanism. We adopt a nuclear matter formalism which, through the local density approximation, allows us to model finite hypernuclei, a one--meson--exchange weak transition potential and a Bonn nucleon--nucleon strong potential. One--, two-- and three--nucleon induced weak decay rates are predicted for $^{12}_\Lambda$C by including...
Topic: Nuclear Theory
Source: http://arxiv.org/abs/1701.03957
Arxiv.org
by B M McLaughlin; C P Ballance; M S Pindzola; P C Stancil; S Schippers; A Müller
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Our computation effort is primarily concentrated on support of current and future measurements being carried out at various synchrotron radiation facilities around the globe, and photodissociation computations for astrophysical applications. In our work we solve the Schr\"odinger or Dirac equation for the appropriate collision problem using the R-matrix or R-matrix with pseudo-states approach from first principles. The time dependent close-coupling (TDCC) method is also used in our work. A...
Topics: Atomic Physics, Physics, Computational Physics, Instrumentation and Methods for Astrophysics,...
Source: http://arxiv.org/abs/1701.03962
Arxiv.org
by Xiaowang Zhang; Jiahui Zhang; Zhiyong Feng
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We propose hMDAP, a hybrid framework for large-scale data analytical processing on Spark, to support multi-paradigm process (incl. OLAP, machine learning, and graph analysis etc.) in distributed environments. The framework features a three-layer data process module and a business process module which controls the former. We will demonstrate the strength of hMDAP by using traffic scenarios in a real world.
Topics: Databases, Computing Research Repository
Source: http://arxiv.org/abs/1701.04182
Arxiv.org
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We establish criteria for a logarithmic potential on the sub-Riemannian Heisenberg group to be comparable to the Jacobian of a quasiconformal mapping of the same. The results rest on an extension to the theory of quasiconformal flows on the Heisenberg group, and constructions that adapt the iterative method of Bonk, Heinonen, and Saksman to this setting. Finally, we initiate an exploration of the geometric consequences, using the logarithmic potentials to distort the geometry of the Heisenberg...
Topics: Classical Analysis and ODEs, Mathematics
Source: http://arxiv.org/abs/1701.04163
Arxiv.org
by Arkadiusz Kosior; Krzysztof Sacha
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We investigate the issue of eigenfunction localization in random fractal lattices embedded in two dimensional Euclidean space. In the system of our interest, there is no diagonal disorder -- the disorder arises from random connectivity of non-uniformly distributed lattice sites only. By adding or removing links between lattice sites, we change the spectral dimension of a lattice but keep the fractional Hausdorff dimension fixed. From the analysis of energy level statistics obtained via direct...
Topics: Quantum Gases, Condensed Matter, Quantum Physics
Source: http://arxiv.org/abs/1701.04274
Arxiv.org
by Ling-Yun Dai; M. R. Pennington
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Light-by-light scattering sumrules based on general field theory principles relate cross-sections with different helicities. In this paper the simplest sumrule is tested for the $I=0$ and $2$ channels for "real" photon-photon collisions. Important contributions come from the long-lived pseudoscalar mesons and from di-meson intermediate states. The latest Amplitude Analysis of $\gamma\gamma\to\pi\pi, \overline{K}K$ allows this contribution to be evaluated. However, we find that other...
Topics: Nuclear Theory, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1701.04460
Arxiv.org
by Shota Notsu; Hideko Nomura; Daiki Ishimoto; Catherine Walsh; Mitsuhiko Honda; Tomoya Hirota; T. J. Millar
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Observationally measuring the location of the H$_{2}$O snowline is crucial for understanding the planetesimal and planet formation processes, and the origin of water on Earth. In disks around Herbig Ae stars ($T_{\mathrm{*}}\sim$ 10,000K, $M_{\mathrm{*}}\gtrsim$ 2.5$M_{\bigodot}$), the position of the H$_{2}$O snowline is further from the central star compared with that around cooler, and less massive T Tauri stars. Thus, the H$_{2}$O emission line fluxes from the region within the H$_{2}$O...
Topics: Solar and Stellar Astrophysics, Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1701.04381
Arxiv.org
by Nishanth Lingala; Navaratnam Sri Namachchivaya; Volker Wihstutz
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We consider noise perturbations of delay differential equations (DDE) experiencing Hopf bifurcation. The noise is assumed to be exponentially ergodic, i.e. transition density converges to stationary density exponentially fast uniformly in the initial condition. We show that, under an appropriate change of time scale, as the strength of the perturbations decreases to zero, the law of the critical eigenmodes converges to the law of a diffusion process (without delay). We prove the result only for...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1701.04607
Arxiv.org
by Sandra Siby; Rajib Ranjan Maiti; Nils Tippenhauer
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In the context of the emerging Internet of Things (IoT), a proliferation of wireless connectivity can be expected. That ubiquitous wireless communication will be hard to centrally manage and control, and can be expected to be opaque to end users. As a result, owners and users of physical space are threatened to lose control over their digital environments. In this work, we propose the idea of an IoTScanner. The IoTScanner integrates a range of radios to allow local reconnaissance of existing...
Topics: Cryptography and Security, Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1701.05007
Arxiv.org
by Tyler D. Robinson
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A habitable exoplanet is a world that can maintain stable liquid water on its surface. Techniques and approaches to characterizing such worlds are essential, as performing a census of Earth-like planets that may or may not have life will inform our understanding of how frequently life originates and is sustained on worlds other than our own. Observational techniques like high contrast imaging and transit spectroscopy can reveal key indicators of habitability for exoplanets. Both polarization...
Topics: Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1701.05205
Arxiv.org
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Precise estimates of the nucleon charges $g_A$, $g_S$ and $g_T$ are needed in many phenomenological analyses of SM and BSM physics. In this talk, we present results from two sets of calculations using clover fermions on 9 ensembles of 2+1+1-flavor HISQ and 4 ensembles of 2+1-flavor clover lattices. We show that high statistics can be obtained cost-effectively using the truncated solver method with bias correction and the coherent source sequential propagator technique. By performing simulations...
Topic: High Energy Physics - Lattice
Source: http://arxiv.org/abs/1701.05651
Arxiv.org
by Ferdous Mohammadi; Saeid Rezakhah
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HYGARCH process is the commonly used long memory process in modeling the long-rang dependence in volatility. Financial time series are characterized by transition between phases of different volatility levels. The smooth transition HYGARCH (ST-HYGARCH) model is proposed to model time-varying structure with long memory property. The asymptotic behavior of the second moment is studied and an upper bound for it is derived. A score test is developed to check the smooth transition property. The...
Topics: Computation, Statistics, Methodology
Source: http://arxiv.org/abs/1701.05358
Arxiv.org
by Line Baribeau; Thomas Ransford
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We identify the intersection of the multibrot set of $z^d+c$ with the rays ${\mathbb R}^+\omega$, where $\omega^{d-1}=\pm1$.
Topics: Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1701.05535
Arxiv.org
by Ryo Takahashi; Takashi Matsubara; Kuniaki Uehara
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Convolutional neural networks (CNNs) have demonstrated remarkable results in image classification tasks for benchmark and practical uses. The CNNs with deeper architectures have achieved higher performances recently thanks to their robustness to parallel shift of objects in images aw well as their numerous parameters and resulting high expression ability. However, the CNNs have a limited robustness to other geometric transformations such as scaling and rotation. This problem is considered to...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1702.03505
Arxiv.org
by Sabrina Souto; Marcelo d'Amorim
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Configurable systems are those that can be adapted from a set of options. They are prevalent and testing them is important and challenging. Existing approaches for testing configurable systems are either unsound (i.e., they can miss fault-revealing configurations) or do not scale. This paper proposes EvoSPLat, a regression testing technique for configurable systems. EvoSPLat builds on our previously-developed technique, SPLat, which explores all dynamically reachable configurations from a test....
Topics: Software Engineering, Computing Research Repository
Source: http://arxiv.org/abs/1702.03457
Arxiv.org
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Micro-task crowdsourcing has become a successful mean to obtain high-quality data from a large crowd of diverse people. In this context, trust between all the involved actors (i.e. requesters, workers, and platform owners) is a critical factor for acceptance and long-term success. As actors have no expectation for "real life" meetings, thus trust can only be attributed through computer-mediated trust cues like workers qualifications and requester ratings. Such cues are often the...
Topics: Human-Computer Interaction, Computing Research Repository, Social and Information Networks
Source: http://arxiv.org/abs/1702.03385
Arxiv.org
by Markus Mühling; Manja Meister; Nikolaus Korfhage; Jörg Wehling; Angelika Hörth; Ralph Ewerth; Bernd Freisleben
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The German Broadcasting Archive (DRA) maintains the cultural heritage of radio and television broadcasts of the former German Democratic Republic (GDR). The uniqueness and importance of the video material stimulates a large scientific interest in the video content. In this paper, we present an automatic video analysis and retrieval system for searching in historical collections of GDR television recordings. It consists of video analysis algorithms for shot boundary detection, concept...
Topics: Multimedia, Computing Research Repository, Digital Libraries
Source: http://arxiv.org/abs/1702.03790
Arxiv.org
by Alan Loh; Stéphane Corbel; Guillaume Dubus
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Solar flares are regularly detected by the Large Area Telescope (LAT) on board the Fermi satellite, however no gamma-ray emission from other stellar eruptions has ever been captured. The Swift detection in April 2014 of a powerful outburst originating from DG CVn, with associated optical and radio emissions, enticed us to search for possible 0.1-100 GeV emission from this flaring nearby binary star using the Fermi/LAT. No gamma-ray emission is detected from DG CVn in 2014, but we report a...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.03754
Arxiv.org
by M. Nikhil Krishnan; Bhagyashree Puranik; P. Vijay Kumar; Itzhak Tamo; Alexander Barg
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In this paper, we study the impact of locality on the decoding of binary cyclic codes under two approaches, namely ordered statistics decoding (OSD) and trellis decoding. Given a binary cyclic code having locality or availability, we suitably modify the OSD to obtain gains in terms of the Signal-To-Noise ratio, for a given reliability and essentially the same level of decoder complexity. With regard to trellis decoding, we show that careful introduction of locality results in the creation of...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03786
Arxiv.org
by Benedikt Bünz; Matthew Lamm
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In this paper we explore whether or not deep neural architectures can learn to classify Boolean satisfiability (SAT). We devote considerable time to discussing the theoretical properties of SAT. Then, we define a graph representation for Boolean formulas in conjunctive normal form, and train neural classifiers over general graph structures called Graph Neural Networks, or GNNs, to recognize features of satisfiability. To the best of our knowledge this has never been tried before. Our...
Topics: Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1702.03592
Arxiv.org
by Mounir Elloumi; Janne-Kathrin Günther; Jean Ludwig
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Let $G_n=U(n)\ltimes {\mathbb H}_n $ be the semi-direct product of the unitary group acting by automorphisms on the Heisenberg group ${\mathbb H}_n$. According to Lipsman, the unitary dual $\widehat {G_n} $ of $G_n $ is in one to one correspondence with the space of admissible coadjoint orbits $\mathfrak g_n^\ddagger /G_n $ of $G_n $. In this paper, we determine the topology of the space $\mathfrak g_n^\ddagger /G_n $ and we show that the correspondence with $\widehat {G_n} $ is a homeomorphism.
Topics: Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.03747
Arxiv.org
by Matthew Hawes; Lyudmila Mihaylova; François Septier; Simon Godsill
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The problem of estimating the dynamic direction of arrival of far field signals impinging on a uniform linear array, with mutual coupling effects, is addressed. This work proposes two novel approaches able to provide accurate solutions, including at the endfire regions of the array. Firstly, a Bayesian compressive sensing Kalman filter is developed, which accounts for the predicted estimated signals rather than using the traditional sparse prior. The posterior probability density function of...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03950
Arxiv.org
by Liang Li; Xiaosong Zhu; Pengfei Lan; Lixin He; Peixiang Lu
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A photon channel perspective on high harmonic generation (HHG) is proposed by using a nonperturbative full quantum theory. It is shown that the HHG yield can be expressed as a sum of the contribution of all the photon channels. From this perspective, the contribution of a specific photon channel follows a brief analytical formula and the competition between the channels is well interpreted. Our prediction is shown to be in good agreement with the simulations with timedependent Schrodinger...
Topics: Atomic Physics, Physics
Source: http://arxiv.org/abs/1702.04084
There possibly exists some direct, non-gravitational coupling between dark energy and dark matter. This possibility should be seriously tested by using observations, which requires us to understand such a scenario from the aspects of both expansion history and growth of structure. It is found that once calculating the perturbations in the interacting dark energy (IDE) scenario, for most cases the curvature perturbation on superhorizon scales is divergent, which is a catastrophe for the IDE...
Topics: General Relativity and Quantum Cosmology, High Energy Physics - Theory, High Energy Physics -...
Source: http://arxiv.org/abs/1702.04564
Arxiv.org
by D. S. Nagaraj
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This is a survey article about parabolic bundles and parabolic Higgs bundles.
Topics: Algebraic Geometry, Mathematics
Source: http://arxiv.org/abs/1702.05295
Arxiv.org
by Mikołaj Lasota; Piotr Kolenderski
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Although sources of photon pairs are necessary for the realization of many quantum communication protocols, the problem of optimization of the properties of photons produced by such devices for the aforementioned tasks has not yet been solved completely. In this work we theoretically demonstrate the possibility to extend the maximal distance of secure quantum communication in asymmetric setup configuration by manipulating the spectral correlation within a pair of photons produced by the source...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1702.05165