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Academic Torrents
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Introductory biostatistics course taught by Dr Scott L. Zeger of John Hopkins Bloomberg School of Public Health. This course teaches key statistical principles and some methods that will enable you to reason more carefully and critically about scientific questions. The course is case based so that each principle or method will be introduced through a case study. This course is designed around a few important health questions.
Topics: statistics, biostatistics, public health
Source: http://academictorrents.com/details/82d20fe4c1bf8f6a14e71fcae052b3f6ea014e4c
Academic Torrents
by Jeff Gore
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### Course Description This course provides an introduction to cellular and population-level systems biology with an emphasis on synthetic biology, modeling of genetic networks, cell-cell interactions, and evolutionary dynamics. Cellular systems include genetic switches and oscillators, network motifs, genetic network evolution, and cellular decision-making. Population-level systems include models of pattern formation, cell-cell communication, and evolutionary systems biology. ### Prerequisites...
Source: http://academictorrents.com/details/98961a881e8fd4139f4d1e09f0b7a4badfab7c9d
Academic Torrents
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Stanford course on Convolutional Neural Networks for Visual Recognition # Course Description Computer Vision has become ubiquitous in our society, with applications in search, image understanding, apps, mapping, medicine, drones, and self-driving cars. Core to many of these applications are visual recognition tasks such as image classification, localization and detection. Recent developments in neural network (aka “deep learning”) approaches have greatly advanced the performance of these...
Source: http://academictorrents.com/details/ed8a16ebb346e14119a03371665306609e485f13
Academic Torrents
by Gaetano Borriello, Luis Ceze (University of Washington)
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Examines key computational abstraction levels below modern high-level languages. From Java/C to assembly programming, to basic processor and system organization. This course examines key computational abstraction levels below modern high-level languages; number representation, assembly language, introduction to C, memory management, the operating-system process model, high-level machine architecture including the memory hierarchy, and how high-level languages are implemented. We will develop...
Source: http://academictorrents.com/details/f1384286c8581bffba11e378fdb37608e649d82a
Academic Torrents
by Lomonosov Moscow State University
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These are records of Next-generation sequencing course which took place at The Faculty of Bioengineering and Bioinformatics, Lomonosov Moscow State University, Moscow in 2014.
Source: http://academictorrents.com/details/d649d0f57856bf3da174b33d71f08d217b110830
Academic Torrents
by Christopher Burge; David Gifford; Ernest Fraenkel
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The MIT Initiative in Computational and Systems Biology (CSBi) is a campus-wide research and education program that links biology, engineering, and computer science in a multidisciplinary approach to the systematic analysis and modeling of complex biological phenomena. This course is one of a series of core subjects offered through the CSB Ph.D program, for students with an interest in interdisciplinary training and research in the area of computational and systems biology. ### Course...
Source: http://academictorrents.com/details/90435db14989b415561ef53a3a12657a13d9d9fa
Academic Torrents
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This course introduces students to key issues and findings in the field of health and environmental economics. The first half of the course focuses on the theoretical and statistical frameworks used to analyze instances of market failure in the provision of health and environmental goods. The second half focuses on policy-relevant empirical findings in the field.
Source: http://academictorrents.com/details/c633df0181d560050d3f392501c6815135cfb60e
Academic Torrents
by Mike Simon (University of Washington)
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This course provides you with opportunities to integrate and apply your information security knowledge. Following the case-study approach, you will be introduced to current, real-world cases developed and presented by the practitioner community. You will design and execute information assurance strategies to solve these cases.
Source: http://academictorrents.com/details/55284a002672598923af36bc55f3205b42c93b00
Source: https://guidelines.gov/summaries/summary/50709/operative-fixation-of-rib-fractures-after-blunt-trauma-a-practice-management-guideline-from-the-eastern-association-for-the-surgery-of-trauma
National Guideline Clearinghouse
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Source: https://guidelines.gov/summaries/summary/50734/british-association-of-dermatologists-guidelines-for-the-management-of-contact-dermatitis-2017
National Guideline Clearinghouse
by National Guideline Clearinghouse (NGC)
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Source: https://guidelines.gov/summaries/summary/50738/final-recommendation-statement-celiac-disease-screening
Arxiv.org
by Wen Zeng; Chunyan Mu; Maciej Koutny; Paul Watson
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The extent and importance of cloud computing is rapidly increasing due to the ever increasing demand for internet services and communications. Instead of building individual information technology infrastructure to host databases or software, a third party can host them in its large server clouds. Large organizations may wish to keep sensitive information on their more restricted servers rather than in the public cloud. This has led to the introduction of federated cloud computing (FCC) in...
Topics: Cryptography and Security, Distributed, Parallel, and Cluster Computing, Computing Research...
Source: http://arxiv.org/abs/1404.7760
Arxiv.org
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We present a necessary condition under which a collinear ferromagnet Fe$_{1-x}A_{x}$ ($A={\rm Pt},{\rm Ni}$) with disordered face-centered-cubic structure exhibits the Invar effect. The condition involves the rate at which the fraction of Fe moments that are antiferromagnetically aligned with the magnetization fluctuates as the system is heated, $dx^{{\rm Fe}\downarrow}/dT$. Another contributing factor is the magnetostructural coupling $\kappa=-(1/V)(\partial V / \partial x^{{\rm...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1403.4411
Arxiv.org
by Courtney G. Brell; Stephen D. Bartlett; Andrew C. Doherty
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We construct parent Hamiltonians involving only local 2-body interactions for a broad class of Projected Entangled Pair States (PEPS). Making use of perturbation gadget techniques, we define a perturbative Hamiltonian acting on the virtual PEPS space with a finite order low energy effective Hamiltonian that is a gapped, frustration-free parent Hamiltonian for an encoded version of a desired PEPS. For topologically ordered PEPS, the ground space of the low energy effective Hamiltonian is shown...
Topics: Quantum Physics, Strongly Correlated Electrons, Condensed Matter
Source: http://arxiv.org/abs/1407.4829
Arxiv.org
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Automatic extraction methods typically assume that line segments are pronounced, thin, few and far between, do not cross each other, and are noise and clutter-free. Since these assumptions often fail in realistic scenarios, many line segments are not detected or are fragmented. In more severe cases, i.e., many who use the Hough Transform, extraction can fail entirely. In this paper, we propose a method that tackles these issues. Its key aspect is the combination of thresholded image derivatives...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1411.4296
Arxiv.org
by Yang Liu; H. Deng; M. Shayegan; L. N. Pfeiffer; K. W. West; K. W. Baldwin
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When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a quantum Wigner crystal (WC). Although this exotic state has long been suspected in high-mobility 2D electron systems at very low Landau level fillings ($\nu
Topics: Mesoscale and Nanoscale Physics, Strongly Correlated Electrons, Condensed Matter
Source: http://arxiv.org/abs/1410.3435
Arxiv.org
by Thomas Roth; Carsten Detlefs; Irina Snigireva; Anatoly Snigirev
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We describe a diffraction microscopy technique based on refractive optics to study structural variations in crystals. The X-ray beam diffracted by a crystal was magnified by beryllium parabolic refractive lenses on a 2D X-ray camera. The microscopy setup was integrated into the 6-circle Huber diffractometer at the ESRF beamline ID06. Our setup allowed us to visualize structural imperfections with a resolution of approximately 1 micrometer. The configuration, however, can easily be adapted for...
Topics: Physics, Optics
Source: http://arxiv.org/abs/1409.6117
Arxiv.org
by J. K. Chana; M. Sich; F. Fras; A. V. Gorbach; D. V. Skryabin; E. Cancellieri; E. A. Cerda-Méndez; K. Biermann; R. Hey; P. V. Santos; M. S. Skolnick; D. N. Krizhanovskii
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Semiconductor microcavities operating in the polaritonic regime are highly non-linear, high speed systems due to the unique half-light, half-matter nature of polaritons. Here, we report for the first time the observation of propagating multi-soliton polariton patterns consisting of multi-peak structures either along (x) or perpendicular to (y) the direction of propagation. Soliton arrays of up to 5 solitons are observed, with the number of solitons controlled by the size or power of the...
Topics: Physics, Nonlinear Sciences, Pattern Formation and Solitons, Optics, Mesoscale and Nanoscale...
Source: http://arxiv.org/abs/1407.7713
Arxiv.org
by P. Jimenez-Delgado; T. J. Hobbs; J. T. Londergan; W. Melnitchouk
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We present a new global QCD analysis of parton distribution functions, allowing for possible intrinsic charm (IC) contributions in the nucleon inspired by light-front models. The analysis makes use of the full range of available high-energy scattering data for Q^2 > 1 GeV^2 and W^2 > 3.5 GeV^2, including fixed-target proton and deuteron cross sections at lower energies that were excluded in previous global analyses. The expanded data set places more stringent constraints on the momentum...
Topics: High Energy Physics - Phenomenology, Nuclear Theory, High Energy Physics - Experiment
Source: http://arxiv.org/abs/1408.1708
Arxiv.org
by Elisabeth R. Newton; David Charbonneau; Jonathan Irwin; Andrew W. Mann
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Interferometric radius measurements provide a direct probe of the fundamental parameters of M dwarfs, but is within reach for only a limited sample of nearby, bright stars. We use interferometrically-measured radii, bolometric luminosities, and effective temperatures to develop new empirical calibrations based on low-resolution, near-infrared spectra. We use H-band Mg and Al features to derive calibrations for effective temperature, radius and log luminosity; the standard deviations in the...
Topics: Astrophysics, Solar and Stellar Astrophysics
Source: http://arxiv.org/abs/1412.2758
Arxiv.org
by D. K. Prasad; D. Rajan; C. K. Prasath; L. Rachmawati; E. Rajabaly; C. Quek
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This paper proposes a new method for horizon detection called the multi-scale cross modal linear feature. This method integrates three different concepts related to the presence of horizon in maritime images to increase the accuracy of horizon detection. Specifically it uses the persistence of horizon in multi-scale median filtering, and its detection as a linear feature commonly detected by two different methods, namely the Hough transform of edgemap and the intensity gradient. We demonstrate...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1701.08378
Arxiv.org
by Gi-Sang Cheon; Hana Kim; Louis W. Shapiro
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A mutation will affect an individual and some or all of its descendants. In this paper, we investigate ordered trees with a distinguished vertex called the mutator. We describe various mutations in ordered trees, and find the generating functions for statistics concerning trees with those mutations. The examples give new interpretations to several known sequences and also introduce many new sequences and their combinatorial interpretations.
Topics: Mathematics, Combinatorics
Source: http://arxiv.org/abs/1410.1249
Arxiv.org
by Sara Rottey; Geertrui Van de Voorde
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Pseudo-arcs are the higher dimensional analogues of arcs in a projective plane: a pseudo-arc is a set $\mathcal{A}$ of $(n-1)$-spaces in $\mathrm{PG}(3n-1,q)$ such that any three span the whole space. Pseudo-arcs of size $q^n+1$ are called pseudo-ovals, while pseudo-arcs of size $q^n+2$ are called pseudo-hyperovals. A pseudo-arc is called elementary if it arises from applying field reduction to an arc in $\mathrm{PG}(2,q^n)$. We explain the connection between dual pseudo-ovals and elation...
Topics: Mathematics, Combinatorics
Source: http://arxiv.org/abs/1407.8415
Arxiv.org
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We present a scheme to measure the orbital angular momentum spectrum of light using a precisely timed optical loop and quantum non-demolition measurements. We also discuss the influence of imperfect optical components.
Topics: Physics, Optics
Source: http://arxiv.org/abs/1401.2559
Arxiv.org
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In recent decades, the spin and transverse momentum of quarks and gluons were found to play integral roles in the structure of the nucleon. Simultaneously, the onset of gluon saturation in hadrons and nuclei at high energies was predicted to result in a new state of matter dominated by classical gluon fields. Understanding both of these contributions to hadronic structure is essential for current and future collider phenomenology. In this Dissertation, we study the combined effects of...
Topics: High Energy Physics - Phenomenology, Nuclear Theory
Source: http://arxiv.org/abs/1407.4047
Arxiv.org
by E. García-Toraño Andrés; B. Langerock; F. Cantrijn
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This paper contains results on geometric Routh reduction and it is a continuation of a previous paper where a new class of transformations is introduced between Lagrangian systems obtained after Routh reduction. In general, these reduced Lagrangian systems have magnetic force terms and are singular in the sense that the Lagrangian does not depend on some velocity components. The main purpose of this paper is to show that the Routh reduction process itself is entirely captured by the application...
Topics: Mathematics, Mathematical Physics
Source: http://arxiv.org/abs/1402.1295
Arxiv.org
by Michael Robinson
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Sampling theory has traditionally drawn tools from functional and complex analysis. Past successes, such as the Shannon-Nyquist theorem and recent advances in frame theory, have relied heavily on the application of geometry and analysis. The reliance on geometry and analysis means that the results are geometrically rigid. There is a subtle interplay between the topology of the domain of the functions being sampled, and the class of functions themselves. Bandlimited functions are somewhat...
Topics: Mathematics, Algebraic Topology
Source: http://arxiv.org/abs/1405.0324
Arxiv.org
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We study high-energy neutrino production in inner jets of radio-loud active galactic nuclei (AGN), taking into account effects of external photon fields and the blazar sequence. We show that the resulting diffuse neutrino intensity is dominated by quasar-hosted blazars, in particular, flat spectrum radio quasars, and that PeV-EeV neutrino production due to photohadronic interactions with broadline and dust radiation is unavoidable if the AGN inner jets are ultrahigh-energy cosmic-ray (UHECR)...
Topics: High Energy Physics - Phenomenology, Astrophysics of Galaxies, High Energy Astrophysical Phenomena,...
Source: http://arxiv.org/abs/1403.4089
Arxiv.org
by Jacques Magnen; Jérémie Unterberger
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We study in the present article the Kardar-Parisi-Zhang (KPZ) equation $$ \partial_t h(t,x)=\nu\Delta h(t,x)+\lambda |\nabla h(t,x)|^2 +\sqrt{D}\, \eta(t,x), \qquad (t,x)\in\mathbb{R}_+\times\mathbb{R}^d $$ in $d\ge 3$ dimensions in the perturbative regime, i.e. for $\lambda>0$ small enough and a smooth, bounded, integrable initial condition $h_0=h(t=0,\cdot)$. The forcing term $\eta$ in the right-hand side is a regularized space-time white noise. The exponential of $h$ -- its so-called...
Topics: Probability, Statistical Mechanics, Condensed Matter, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.03122
Arxiv.org
by Romolo Savo; Romain Pierrat; Ulysse Najar; Rémi Carminati; Stefan Rotter; Sylvain Gigan
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Our everyday experience teaches us that the structure of a medium strongly influences how light propagates through it. A disordered medium, e.g., appears transparent or opaque, depending on whether its structure features a mean free path that is larger or smaller than the medium thickness. While the microstructure of the medium uniquely determines the shape of all penetrating light paths, recent theoretical insights indicate that the mean length of these paths is entirely independent of any...
Topics: Physics, Condensed Matter, Disordered Systems and Neural Networks, Medical Physics, Optics,...
Source: http://arxiv.org/abs/1703.07114
Arxiv.org
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We show that the heating effect of spontaneous wave-function collapse models implies an experimentally significant increment $\Delta T$ of equilibrium temperature in a mechanical oscillator. The obtained form $\Delta T$ is linear in the oscillator's relaxation time $\tau$ and independent of the mass. The oscillator can be in a classical thermal state, the effect $\Delta T$ is classical for a wide range of frequencies and quality factors. We note that the test of $\Delta T$ does not necessitate...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1411.4341
Arxiv.org
by C. R. Laumann; R. Moessner; A. Scardicchio; S. L. Sondhi
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In this review we consider the performance of the quantum adiabatic algorithm for the solution of decision problems. We divide the possible failure mechanisms into two sets: small gaps due to quantum phase transitions and small gaps due to avoided crossings inside a phase. We argue that the thermodynamic order of the phase transitions is not predictive of the scaling of the gap with the system size. On the contrary, we also argue that, if the phase surrounding the problem Hamiltonian is a...
Topics: Quantum Physics, Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1411.5710
Arxiv.org
by Luis H. R. Alvarez; Edward Lungu; Bernt Øksendal
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We prove a verification theorem for a class of singular control problems which model optimal harvesting with density-dependent prices or optimal dividend policy with capital-dependent utilities. The result is applied to solve explicitly some examples of such optimal harvesting/optimal dividend problems. In particular, we show that if the unit price decreases with population density, then the optimal harvesting policy may not exist in the ordinary sense, but can be expressed as a...
Topics: Mathematics, Optimization and Control
Source: http://arxiv.org/abs/1406.7668
Arxiv.org
by Josip Globevnik
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In 1977 P.Yang asked whether there exist complete immersed complex submanifolds g : M^k --> C^N with bounded image. A positive answer is known for holomorphic curves (k=1) and partial answers are known for the case when k>1. The principal result of the present paper is a construction of a holomorphic function on the open unit ball B_N of C^N whose real part is unbounded on every path in B_N of finite length that ends on the boundary of B_N. A consequence is the existence of a complete,...
Topics: Complex Variables, Mathematics
Source: http://arxiv.org/abs/1401.3135
Arxiv.org
by Yeow Meng Chee; Han Mao Kiah; Hui Zhang; Xiande Zhang
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Multiply constant-weight codes (MCWCs) have been recently studied to improve the reliability of certain physically unclonable function response. In this paper, we give combinatorial constructions for MCWCs which yield several new infinite families of optimal MCWCs. Furthermore, we demonstrate that the Johnson type upper bounds of MCWCs are asymptotically tight for fixed weights and distances. Finally, we provide bounds and constructions of two dimensional MCWCs.
Topics: Mathematics, Computing Research Repository, Information Theory, Combinatorics
Source: http://arxiv.org/abs/1411.2513
Arxiv.org
by Tom Bridgeland; Yu Qiu; Tom Sutherland
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We compute the space of stability conditions on the CY$_n$ version of the $A_2$ quiver for all $n$ and relate it to the Frobenius-Saito structure on the unfolding space of the $A_2$ singularity.
Topics: Mathematics, Representation Theory, Differential Geometry, Algebraic Geometry
Source: http://arxiv.org/abs/1406.2566
Arxiv.org
by Yuheng Bu; Shaofeng Zou; Venugopal V. Veeravalli
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We study a universal outlying sequence detection problem, in which there are $M$ sequences of samples out of which a small subset of outliers need to be detected. A sequence is considered as an outlier if the observations therein are generated by a distribution different from those generating the observations in the majority of the sequences. In the universal setting, the goal is to identify all the outliers without any knowledge about the underlying generating distributions. In prior work,...
Topics: Machine Learning, Information Theory, Statistics, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.06084
Arxiv.org
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We define a generalized dyadic maximal operator involving the infinite product and discuss weighted inequalities for the operator. A formulation of the Carleson embedding theorem is proved. Our results depend heavily on a generalized H\"{o}lder's inequalities.
Topics: Mathematics, Classical Analysis and ODEs
Source: http://arxiv.org/abs/1404.6760
Arxiv.org
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Necessary and sufficient conditions are presented for a measure to be the spectral measure of a finite range perturbation of a Jacobi or CMV operator from a finite gap isospectral torus. The special case of eventually periodic operators solves an open problem of Simon [25, D.2.7]. We also solve the inverse resonance problem: it is shown that an operator is completely determined by the set of its eigenvalues and resonances, and we provide necessary and sufficient conditions on their...
Topics: Mathematics, Spectral Theory, Mathematical Physics, Classical Analysis and ODEs
Source: http://arxiv.org/abs/1410.7272
Arxiv.org
by Qiuyang Liu; Shiliang Sun
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Gaussian processes (GPs) have been proven to be powerful tools in various areas of machine learning. However, there are very few applications of GPs in the scenario of multi-view learning. In this paper, we present a new GP model for multi-view learning. Unlike existing methods, it combines multiple views by regularizing marginal likelihood with the consistency among the posterior distributions of latent functions from different views. Moreover, we give a general point selection scheme for...
Topics: Machine Learning, Statistics
Source: http://arxiv.org/abs/1701.04532
Arxiv.org
by Alyssa Mock; Rafał Korlacki; Chad Briley; Vanya Darakchieva; Bo Monemar; Y. Kumagai; K. Goto; M. Higashiwaki; Mathias Schubert
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We employ an eigen polarization model including the description of direction dependent excitonic effects for rendering critical point structures within the dielectric function tensor of monoclinic \beta-Ga2O3 yielding a comprehensive analysis of generalized ellipsometry data obtained from 0.75 eV--9 eV. The eigen polarization model permits complete description of the dielectric response, and we obtain single-electron and excitonic band-to-band transition anisotropic critical point structure...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1704.06711
Arxiv.org
by O. Mete; R. Appleby; W. Bertsche; S. Chattopadhyay; M. Harvey; A. Murray; G. Xia
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An ultra-cold atom based electron source (CAES) facility has been built in the Photon Science Institute (PSI), University of Manchester. In this paper, the key components and working principles of this source are introduced. Pre-commissioning status of this facility and preliminary simulation results are presented.
Topics: Accelerator Physics, Physics
Source: http://arxiv.org/abs/1406.0756
Arxiv.org
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In this paper, we introduce a new (constructive) characterization of tight wavelet frames on non-flat domains in both continuum setting, i.e. on manifolds, and discrete setting, i.e. on graphs; discuss how fast tight wavelet frame transforms can be computed and how they can be effectively used to process graph data. We start with defining the quasi-affine systems on a given manifold $\cM$ that is formed by generalized dilations and shifts of a finite collection of wavelet functions...
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1411.2643
Arxiv.org
by Alexey V. Arefiev; Ginevra E. Cochran; Douglass W. Schumacher; Alexander P. L. Robinson; Guangye Chen
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Particle-in-cell codes are now standard tools for studying ultra-intense laser-plasma interactions. Motivated by direct laser acceleration of electrons in sub-critical plasmas, we examine temporal resolution requirements that must be satisfied to accurately calculate electron dynamics in strong laser fields. Using the motion of a single electron in a perfect plane electromagnetic wave as a test problem, we show surprising deterioration of the numerical accuracy with increasing wave amplitude...
Topics: Physics, Plasma Physics
Source: http://arxiv.org/abs/1410.8491
Arxiv.org
by K. Uldall Kristiansen; S. J. Hogan
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We consider the problem of a slender rod slipping along a rough surface. Painlev\'e showed that the governing rigid body equations for this problem can exhibit multiple solutions (the {\it indeterminate} case) or no solutions at all (the {\it inconsistent} case), provided the coefficient of friction $\mu$ exceeds a certain critical value $\mu_P$. Subsequently G\'enot and Brogliato proved that, from a consistent state, the rod cannot reach an inconsistent state through slipping. Instead the rod...
Topics: Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1703.07665
Arxiv.org
by Amadeo Jimenez-Alba; Luis Melgar
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We study anomalous conductivities in Chiral Superfluids in the framework of two different holographic models, by means of Kubo formulae. In addition, we point out the existence of an anomalous transport phenomenon that consists in the presence of a charge density when the superfluid velocity is aligned with a magnetic field. It has been pointed out recently that certain chiral conductivities in holographic superfluids exhibit universal behavior at zero temperature. We show that anomalous...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1404.2434
Arxiv.org
by Priyavrat Deshpande; Kavita Sutar
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Deletion-restriction is a fundamental tool in the theory of hyperplane arrangements. Various important results in this field have been proved using deletion-restriction. In this paper we use deletion-restriction to identify a class of toric arrangements for which the cohomology algebra of the complement is generated in degree $1$. We also show that for these arrangements the complement is formal in the sense of Sullivan.
Topics: Mathematics, Algebraic Topology
Source: http://arxiv.org/abs/1406.0302
Arxiv.org
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We prove the elementary but surprising fact that the Hofer distance between two closed subsets of a symplectic manifold can be expressed in terms of the restrictions of Hamiltonians to one of the subsets; this helps explain certain energy-capacity inequalities that appeared recently in work of Borman-McLean and Humiliere-Leclercq-Seyfaddini. We also build on arXiv:1201.2926 to obtain new vanishing results for the Hofer distance between subsets, applicable for instance to singular analytic...
Topics: Symplectic Geometry, Mathematics
Source: http://arxiv.org/abs/1409.2577
Arxiv.org
by P. G. Beck; E. Kambe; M. Hillen; E. Corsaro; H. Van Winckel; E. Moravveji; J. De Ridder; S. Bloemen; S. Saesen; P. Mathias; P. Degroote; T. Kallinger; T. Verhoelst; H. Ando; F. Carrier; B. Acke; R. Oreiro; A. Miglio; P. Eggenberger; B. Sato; K. Zwintz; P. I. Pápics; P. Marcos-Arenal; S. A. Sans Fuentes; V. S. Schmid; C. Waelkens; R. Østensen; J. M. Matthews; M. Yoshida; H. Izumiura; H. Koyano; S. Nagayama; Y. Shimizu; N. Okada; K. Okita; A. Sakamoto; T. Yamamuro; C. Aerts
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Red giants are evolved stars which exhibit solar-like oscillations. Although a multitude of stars have been observed with space telescopes, only a handful of red-giant stars were targets of spectroscopic asteroseismic observing projects. We search for solar-like oscillations in the two bright red-giant stars $\gamma$ Psc and $\theta^1$ Tau from time series of ground-based spectroscopy and determine the frequency of the excess of oscillation power $\nu_{max}$ and the mean large frequency...
Topics: Astrophysics, Solar and Stellar Astrophysics
Source: http://arxiv.org/abs/1407.6352
Arxiv.org
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We determine all spherical algebraic subalgebras in any simple Lie algebra of real rank 1.
Topics: Mathematics, Representation Theory
Source: http://arxiv.org/abs/1401.7600
Arxiv.org
by F. Benatti; R. Floreanini; U. Marzolino
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Entanglement in fermion many-body systems is studied using a generalized definition of separability based on partitions of the set of observables, rather than on particle tensor products. In this way, the characterizing properties of non-separable fermion states can be explicitly analyzed, allowing a precise description of the geometric structure of the corresponding state space. These results have direct applications in fermion quantum metrology: sub-shot noise accuracy in parameter estimation...
Topics: Quantum Physics, High Energy Physics - Theory
Source: http://arxiv.org/abs/1403.1144
Arxiv.org
by Paul Lagrée; Olivier Cappé; Bogdan Cautis; Silviu Maniu
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Influence maximization is the problem of finding influent nodes in a graph so as to maximize the spread of information. It has many applications in advertising and marketing on social networks. In this paper, we study the problem of sequentially selecting seeds in the network under the hypothesis that previously activated nodes can still transfer information, but do not yield further rewards. Furthermore, we make no assumption on the underlying diffusion model. We refer to this problem as...
Topics: Computing Research Repository, Social and Information Networks
Source: http://arxiv.org/abs/1702.05354
Arxiv.org
by H. Hezaveh; Z. S. Qu; B. Layden; M. J. Hole
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Long range frequency chirping of Bernstein-Greene-Kruskal modes, whose existence is determined by the fast particles, is investigated in cases where these particles do not move freely and their motion is bounded to restricted orbits. An equilibrium oscillating potential, which creates different orbit topologies of energetic particles, is included into the bump-on-tail instability problem of a plasma wave. With respect to fast particles dynamics, the extended model captures the range of...
Topics: Plasma Physics, Physics
Source: http://arxiv.org/abs/1702.05336
Arxiv.org
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In recent papers a microscopic model for the SM Higgs mechanism has been proposed, and an idea how to determine the 24 quark and lepton masses of all 3 generations has emerged in that framework. This idea is worked out in detail here by accommodating the fermion masses and mixings to microscopic parameters. The top quark mass can be given in terms of the Fermi scale and of certain exchange couplings of isospin vectors obeying a tetrahedral symmetry. The observed hierarchy in the family spectrum...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1405.6604
Arxiv.org
by Rachel A. D. Martins
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C*-bundle dynamical systems are introduced and their r\^ole within the theory of C*-subalgebras and Fell bundles is investigated. A C*-bundle dynamical system involves an action of a 1-parameter group of "spatial automorphisms" of the C*-bundle together with a notion of covariance with respect to the diffeomorphisms of the base manifold, and turns out to define a class of examples of Arveson's $A$-dynamical systems. An embedding invariant for non-commutative C*-subalgebras (equivalent...
Topics: Mathematics, Operator Algebras
Source: http://arxiv.org/abs/1402.1206
Arxiv.org
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We show that the level sets of automorphisms of free groups with respect to the Lipschitz metric are connected as subsets of Culler-Vogtmann space. In fact we prove our result in a more general setting of deformation spaces. As applications, we give metric solutions of the conjugacy problem for irreducible automorphisms and the detection of reducibility. We additionally prove technical results that may be of independent interest --- such as the fact that the set of displacements is well ordered.
Topics: Group Theory, General Topology, Mathematics
Source: http://arxiv.org/abs/1703.09945
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by Serkan Demiriz; Osman Duyar
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Let $\Delta^{(\alpha)}$ denote the fractional difference operator. In this paper, we define new difference sequence spaces $c_0(\Gamma,\Delta^{(\alpha)},u)$ and $c(\Gamma,\Delta^{(\alpha)},u)$. Also, the $\beta-$ dual of the spaces $c_0(\Gamma,\Delta^{(\alpha)},u)$ and $c(\Gamma,\Delta^{(\alpha)},u)$ are determined and calculated their Schauder basis. Furthermore, the classes $(\mu(\Gamma,\Delta^{(\alpha)},u):\lambda)$ where $\mu\in \{c_{0},c\}$ and $\lambda \in...
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1408.1269
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by Alessio Moscariello; Alessio Sammartano
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Given coprime positive integers $a_1 < ... < a_d$, the Frobenius number $F$ is the largest integer which is not representable as a non-negative integer combination of the $a_i$. Let $g$ denote the number of all non-representable positive integers: Wilf conjectured that $d \geq \frac{F+1}{F+1-g}$. We prove that for every fixed value of $\lceil \frac{a_1}{d} \rceil$ the conjecture holds for all values of $a_1$ which are sufficiently large and are not divisible by a finite set of primes. We...
Topics: Mathematics, Number Theory, Combinatorics, Commutative Algebra
Source: http://arxiv.org/abs/1408.5331
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The Witten-Veneziano relation, or, alternatively, its generalization proposed by Shore, facilitates understanding and describing the complex of eta and eta' mesons. We present an analytic, closed-form solution to Shore's equations which gives results on the eta-eta' complex in full agreement with results previously obtained numerically. Although the Witten-Veneziano relation and Shore's equations are related, the ways they were previously used in the context of dynamical models to calculate eta...
Topics: High Energy Physics - Phenomenology, Nuclear Theory
Source: http://arxiv.org/abs/1405.3299
Arxiv.org
by Markus Hartung; Tom Hayward; Les Saddlemyer; Lisa Poyneer; Andrew Cardwell; Chas Cavedoni; Myung Cho; Jeffrey K. Chilcote; Paul Collins; Darren Dillon; Ramon Galvez; Gaston Gausachs; Stephen Goodsell; Andres Guesalaga; Pascal Hibon; James Larkin; Bruce Macintosh; Dave Palmer; Naru Sadakuni; Dmitry Savransky; Andrew Serio; Fredrik Rantakyro; Kent Wallace
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The Gemini Planet Imager (GPI) entered on-sky commissioning and had its first-light at the Gemini South (GS) telescope in November 2013. GPI is an extreme adaptive optics (XAO), high-contrast imager and integral-field spectrograph dedicated to the direct detection of hot exo-planets down to a Jupiter mass. The performance of the apodized pupil Lyot coronagraph depends critically upon the residual wavefront error (design goal of 60 nm RMS with 5 mas RMS tip/tilt), and therefore is most sensitive...
Topics: Instrumentation and Methods for Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1407.7893
Arxiv.org
by Sreelakshmi N; Sudheesh K Kattumannil
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Several attempts were made in the literature to generalize univariate reliability concepts to bivariate as well as multivariate set up. Here we extend the univariate quantile based reliability concepts to bivariate case based on quantile curves. We propose quantile curves based bivariate hazard rate and bivariate mean residual life function and study their uniqueness properties to determine the underlying quantile curve. A relationship between them is also derived.
Topics: Statistics, Methodology
Source: http://arxiv.org/abs/1704.08444
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Cox proportional hazards model with measurement error is investigated. In Kukush et al. (2011) [Journal of Statistical Research 45, 77-94] and Chimisov and Kukush (2014) [Modern Stochastics: Theory and Applications 1, 13-32] asymptotic properties of simultaneous estimator $\lambda_n(\cdot)$, $\beta_n$ were studied for baseline hazard rate $\lambda(\cdot)$ and regression parameter $\beta$, at that the parameter set $\Theta=\Theta_{\lambda}\times \Theta_{\beta}$ was assumed bounded. In the...
Topics: Statistics Theory, Statistics, Mathematics
Source: http://arxiv.org/abs/1703.10940
Arxiv.org
by Noga Alon; Alexandr Kostochka; Benjamin Reiniger; Douglas B. West; Xuding Zhu
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An $r$-augmented tree is a rooted tree plus $r$ edges added from each leaf to ancestors. For $d,g,r\in\mathbb{N}$, we construct a bipartite $r$-augmented complete $d$-ary tree having girth at least $g$. The height of such trees must grow extremely rapidly in terms of the girth. Using the resulting graphs, we construct sparse non-$k$-choosable bipartite graphs, showing that maximum average degree at most $2(k-1)$ is a sharp sufficient condition for $k$-choosability in bipartite graphs, even when...
Topics: Mathematics, Combinatorics
Source: http://arxiv.org/abs/1412.8002
Arxiv.org
by E. Illarionov; A. Tlatov; D. Sokoloff
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We investigate various properties associated with the tilt of isolated magnetic bipoles in magnetograms taken at the solar surface. We show that bipoles can be divided into two groups which have tilts of opposite signs, and reveal similar properties with respect to bipole area, flux and bipolar moment. Detailed comparison of these physical quantities shows that the dividing point between the two types of bipoles corresponds to a bipole area of about 300 millionths of the solar hemisphere (MHS)....
Topics: Astrophysics, Solar and Stellar Astrophysics
Source: http://arxiv.org/abs/1410.4933
Arxiv.org
by E. A. Konovalova; M. G. Kozlov; Yu. A. Demidov; A. E. Barzakh
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We suggest a method to calculate hyperfine anomaly for many-electron atoms and ions. At first, we tested this method by calculating hyperfine anomaly for hydrogen-like thallium ion and obtained fairly good agreement with analytical expressions. Then we did calculations for the neutral thallium and tested an assumption, that the the ratio between the anomalies for $s$ and $p_{1/2}$ states is the same for these two systems. Finally, we come up with recommendations about preferable atomic states...
Topics: Atomic Physics, Physics
Source: http://arxiv.org/abs/1703.10048
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The dynamics of static and travelling breathers in two-species Bose-Einstein condensates in a one-dimensional optical lattice is modelled within the tight-binding approximation. Two coupled discrete nonlinear Schr\"odinger equations describe the interaction of the condensates in two cases of relevance: a mixture of two ytterbium isotopes and a mixture of $^{87}$Rb and $^{41}$K. Depending on their initial separation, interaction between static breathers of different species can lead to the...
Topics: Nonlinear Sciences, Pattern Formation and Solitons
Source: http://arxiv.org/abs/1403.5520
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The expected opacity of the intergalactic space limits the mean free path of TeV gamma rays to dozens of Megaparsecs. However, TeV photons from numerous more distant sources have been detected. This might be interpreted, in each particular case, in terms of hardening of the emitted spectrum caused by presently unknown mechanisms at work in the sources. Here we show that this interpretation is not supported by the analysis of the ensemble of all observed sources. In the frameworks of an...
Topics: High Energy Physics - Phenomenology, High Energy Astrophysical Phenomena, Astrophysics
Source: http://arxiv.org/abs/1406.0239
Arxiv.org
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Tuning the electronic and magnetic properties of a material through strain engineering is an effective strategy to enhance the performance of electronic and spintronic devices. Recently synthesized two-dimensional transition metal carbides M$_2$C (M=Hf, Nb, Sc, Ta, Ti, V, Zr), known as MXenes, has aroused increasingly attentions in nanoelectronic technology due to their unusual properties. In this paper, first-principles calculations based on density functional theory are carried out to...
Topics: Mesoscale and Nanoscale Physics, Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1401.6259
Arxiv.org
by Gabriela Barreto Lemos; Paulo Henrique Souto Ribeiro; Stephen Walborn
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We experimentally implement an optical algorithm for integration of a real-valued bivariate func- tion. A user-defined function is encoded in the position-dependent phase of one of the polarization components of an optical beam. The integral of this function is retrieved by measuring a Stokes parameter of the polarization. We analyze the performance of the system as an integration device.
Topics: Physics, Quantum Physics, Optics
Source: http://arxiv.org/abs/1412.4403
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Graph packing and partitioning problems have been studied in many contexts, including from the algorithmic complexity perspective. Consider the packing problem of determining whether a graph contains a spanning tree and a cycle that do not share edges. Bern\'ath and Kir\'aly proved that this decision problem is NP-complete and asked if the same result holds when restricting to planar graphs. Similarly, they showed that the packing problem with a spanning tree and a path between two...
Topics: Mathematics, Computational Complexity, Combinatorics, Computing Research Repository
Source: http://arxiv.org/abs/1409.2426
Arxiv.org
by E. O. Ofek; I. Arcavi; D. Tal; M. Sullivan; A. Gal-Yam; S. R. Kulkarni; P. E. Nugent; S. Ben-Ami; D. Bersier; Y. Cao; S. B. Cenko; A. De Cia; A. V. Filippenko; C. Fransson; M. M. Kasliwal; R. Laher; J. Surace; R. Quimby; O. Yaron
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Interaction of supernova (SN) ejecta with the optically thick circumstellar medium (CSM) of a progenitor star can result in a bright, long-lived shock breakout event. Candidates for such SNe include Type IIn and superluminous SNe. If some of these SNe are powered by interaction, then there should be a relation between their peak luminosity, bolometric light-curve rise time, and shock-breakout velocity. Given that the shock velocity during shock breakout is not measured, we expect a correlation,...
Topics: High Energy Astrophysical Phenomena, Astrophysics
Source: http://arxiv.org/abs/1404.4085
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by Masaaki Nagahara
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In this presentation, we introduce sparsity methods for networked control systems and show the effectiveness of sparse control. In networked control, efficient data transmission is important since transmission delay and error can critically deteriorate the stability and performance. We will show that this problem is solved by sparse control designed by recent sparse optimization methods.
Topics: Mathematics, Systems and Control, Computing Research Repository, Optimization and Control
Source: http://arxiv.org/abs/1410.5165
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We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated as nodes estimating their skews and offsets from noisy difference measurements of offsets and logarithm of skews; the measurements acquired by time-stamped message exchanges between neighbors. A distributed stochastic approximation based algorithm is proposed...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1412.7888
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For any pair of bounded observables $A$ and $B$ with pure point spectra, we construct an associated "joint observable" which gives rise to a notion of a joint (projective) measurement of $A$ and $B$, and which conforms to the intuition that one can measure non-commuting observables simultaneously, provided one is willing to give up arbitrary precision. As an application, we show how our notion of a joint observable naturally allows for a construction of a "functional...
Topics: Quantum Physics, High Energy Physics - Theory, Mathematics, Mathematical Physics
Source: http://arxiv.org/abs/1407.7606
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by Islene C. Garcia; Gustavo M. D. Vieira; Luiz E. Buzato
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The literature on communication-induced checkpointing presents a family of protocols that use logical clocks to control whether forced checkpoints must be taken. For many years, HMNR, also called Fully Informed (FI), was the most complex and efficient protocol of this family. The Lazy-FI protocol applies a lazy strategy that defers the increase of logical clocks, resulting in a protocol with better perfomance for distributed systems where processes can take basic checkpoints at different,...
Topics: Distributed, Parallel, and Cluster Computing, Computing Research Repository
Source: http://arxiv.org/abs/1702.06167
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by Takayuki Kubo
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The superconducting nano-layer coating without insulator layer is studied. The magnetic-field distribution and the forces acting on a vortex are derived. Using the derived forces, the vortex-penetration field and the lower critical magnetic field can be discussed. The vortex-penetration field is identical with the multilayer coating, but the lower critical magnetic field is not. Forces acting on a vortex from the boundary of two superconductors play an important role in evaluations of the free...
Topics: Accelerator Physics, Physics, Superconductivity, Condensed Matter
Source: http://arxiv.org/abs/1410.1248
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by Boris A. Malomed; Yakov Shnir; Gleb Zhilin
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We introduce a system composed of two (2+1)-dimensional baby-skyrmion models (BSMs) set on parallel planes and linearly coupled by tunneling of fields. This system can be realized in a dual-layer ferromagnetic medium. Unlike dual-core models previously studied\ in nonlinear optics and BEC, here the symmetry-breaking bifurcation (SBB) in solitons (baby skyrmions) occurs with the increase of the inter-core coupling ($\kappa$), rather than with its decrease, due to the fact that even in the...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1402.0683
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by Kang Zhang; Yuqiang Fang; Dongbo Min; Lifeng Sun; Shiqiang Yang. Shuicheng Yan; Qi Tian
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Human beings process stereoscopic correspondence across multiple scales. However, this bio-inspiration is ignored by state-of-the-art cost aggregation methods for dense stereo correspondence. In this paper, a generic cross-scale cost aggregation framework is proposed to allow multi-scale interaction in cost aggregation. We firstly reformulate cost aggregation from a unified optimization perspective and show that different cost aggregation methods essentially differ in the choices of similarity...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1403.0316
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We quantitatively analyze and evaluate the controller's power in $N$-qubit controlled teleportation schemes. We calculate the minimum control power required to ensure the controller's authority such that the teleportation fidelity without the controller's permission is no more than the classical bound. We revisit several typical controlled teleportation schemes from the controller's point of view and evaluate the control power in these schemes. We find that for teleporting arbitrary N-qubit...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1410.1857
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by Guihua Gong; Huaxin Lin
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We present a classification theorem for amenable simple stably projectionless C*-algebras with generalized tracial rank one whose $K_0$ vanish on traces which satisfy the Universal Coefficient Theorem. One of them is denoted by ${\cal Z}_0$ which has a unique tracial state and $K_0(\zo)=\Z$ and $K_1(\zo)=\{0\}.$ Let $A$ and $B$ be two separable simple $C^*$-algebras satisfying the UCT and have finite nuclear dimension. We show that $A\otimes \zo\cong B\otimes \zo$ if and only if ${\rm...
Topics: Operator Algebras, Mathematics
Source: http://arxiv.org/abs/1702.01073
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by Christopher Barber; Stephane Courteau; Joel Roediger; Ricardo Schiavon
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Optimised population synthesis provides an empirical method to extract the relative mix of stellar evolutionary stages and the distribution of atmospheric parameters within unresolved stellar systems, yet a robust validation of this method is still lacking. We here provide a calibration of population synthesis via non-linear bound-constrained optimisation of stellar populations based upon optical spectra of mock stellar systems and observed Galactic Globular Clusters (GGCs). The MILES stellar...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1403.1356
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by A. Barducci; R. Giachetti; E. Sorace
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A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin-spin interaction, including the anomalous magnetic moments of the two fermions, is added by means of a Breit term. We solve the resulting fourth order differential system by evaluating the spectrum and the eigenfunctions. The interaction vertex with an external electromagnetic field is then determined. The relativistic eigenfunctions are used to...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1408.2433
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We present a nonintrusive method for reliably estimating the noise level during quantum computation and quantum communication protected by quantum error-correcting codes. As preprocessing of quantum error correction, our scheme estimates the current noise level through a negligible amount of classical computation using error syndromes and updates the decoder's knowledge on the spot before inferring the locations of errors. This preprocessing requires no additional quantum interaction or...
Topics: Quantum Physics, Mathematics, Computing Research Repository, Information Theory
Source: http://arxiv.org/abs/1405.6267
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by Long Zheng; Xiaofei Liao; Bingsheng He; Song Wu; Hai Jin
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Locks have been widely used as an effective synchronization mechanism among processes and threads. However, we observe that a large number of false inter-thread dependencies (i.e., unnecessary lock contentions) exist during the program execution on multicore processors, thereby incurring significant performance overhead. This paper presents a performance debugging framework, PERFPLAY, to facilitate a comprehensive and in-depth understanding of the performance impact of unnecessary lock...
Topics: Computing Research Repository, Programming Languages
Source: http://arxiv.org/abs/1412.4480
Arxiv.org
by Sebastian Rudolph; Michaël Thomazo; Jean-François Baget; Marie-Laure Mugnier
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The need for an ontological layer on top of data, associated with advanced reasoning mechanisms able to exploit the semantics encoded in ontologies, has been acknowledged both in the database and knowledge representation communities. We focus in this paper on the ontological query answering problem, which consists of querying data while taking ontological knowledge into account. More specifically, we establish complexities of the conjunctive query entailment problem for classes of existential...
Topics: Databases, Computing Research Repository, Artificial Intelligence
Source: http://arxiv.org/abs/1412.4485
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by Rouzbeh Allahverdi; Bhaskar Dutta; Farinaldo S. Queiroz; Louis E. Strigari; Mei-Yu Wang
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In this work, we sift a simple supersymmetric framework of late invisible decays to/of the gravitino. We investigate two cases where the gravitino is the lightest supersymmetric particle or the next-to-lightest supersymmetric particle. The next-to-lightest supersymmetric particle decays into two dark matter candidates and has a long lifetime due to gravitationally suppressed interactions. However, because of the absence of any hadronic or electromagnetic products, it satisfies the tight bounds...
Topics: High Energy Physics - Phenomenology, Astrophysics, Cosmology and Nongalactic Astrophysics
Source: http://arxiv.org/abs/1412.4391
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This paper presents some startpoint (endpoint, fixed point) theorems for mutli-valued maps that generalize recent results proved by Y. U. Gaba \cite{rico, ricoo}.
Topics: General Mathematics, Mathematics
Source: http://arxiv.org/abs/1503.00344
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Using classical density functional theory (DFT) we calculate the density profile $\rho({\mathbf r})$ and local compressibility $\chi({\mathbf r})$ of a simple liquid solvent in which a pair of blocks with (microscopic) rectangular cross-section are immersed. We consider blocks that are solvophobic, solvophilic and also ones that have both solvophobic and solvophilic patches. Large values of $\chi({\mathbf r})$ correspond to regions in space where the liquid density is fluctuating most strongly....
Topics: Condensed Matter, Statistical Mechanics, Soft Condensed Matter
Source: http://arxiv.org/abs/1702.08278
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by Julien Bringer; Herve Chabanne; Daniel Le Metayer; Roch Lescuyer
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This work aims to show the applicability, and how, of privacy by design approach to biometric systems and the benefit of using formal methods to this end. Starting from a general framework that has been introduced at STM in 2014, that enables to define privacy architectures and to formally reason about their properties, we explain how it can be adapted to biometrics. The choice of particular techniques and the role of the components (central server, secure module, biometric terminal, smart...
Topics: Logic in Computer Science, Cryptography and Security, Computing Research Repository
Source: http://arxiv.org/abs/1702.08301
Arxiv.org
by Giovanni De Filippis; Davide Palmieri; Leonardo Soria; Luigi Mangialardi
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Operational Modal Analysis (OMA) is a powerful tool, widely used in the fields of structural identification and health monitoring, and certainly eligible for identifying the real in-operation behaviour of vehicle systems. Several attempts can be found in the literature, for which the usage of algorithms based on the classical OMA formulation has been strained for the identification of passenger cars and industrial trucks. The interest is mainly focused on the assessment of suspension behaviour...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1702.08325
These lecture notes are concerned with the solvability of the second boundary value problem of the prescribed affine mean curvature equation and related regularity theory of the Monge-Amp\`ere and linearized Monge-Amp\`ere equations. The prescribed affine mean curvature equation is a fully nonlinear, fourth order, geometric partial differential equation of the following form $$\sum_{i, j=1}^n U^{ij}\frac{\partial^2}{\partial {x_i}\partial{x_j}}\left[(\det D^2 u)^{-\frac{n+1}{n+2}}\right]=f$$...
Topics: Differential Geometry, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.08366
Arxiv.org
by Maria Letizia Bertotti; Amit K Chattopadhyay; Giovanni Modanese
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In this article, we discuss a dynamical stochastic model that represents the time evolution of income distribution of a population, where the dynamics develop from an interplay of multiple economic exchanges in the presence of multiplicative noise. The model remit stretches beyond the conventional framework of a Langevin-type kinetic equation in that our model dynamics is self-consistently constrained by dynamical conservation laws emerging from population and wealth conservation. This model is...
Topics: Physics, Condensed Matter, Physics and Society, Quantitative Finance, Economics, Statistical...
Source: http://arxiv.org/abs/1702.08391
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by O. N. Ghodsi; F. Torabi
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To analyze the property of nuclear matter in the 16O+208Pb collision system, the internuclear potential of the fusion reaction is calculated by using the Skyrme forces associated with an extensive nuclear matter incompressibility K range in the semiclassical energy density formalism. Comparison of the experimental fusion cross sections and those obtained by using potentials derived from different forces with various K values shows that the incompressibility of nuclear matter changes during the...
Topic: Nuclear Theory
Source: http://arxiv.org/abs/1702.08418
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by Chen Meiri; Doron Puder; Dan Carmon
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The Markoff group of transformations is a group $\Gamma$ of affine integral morphisms, which is known to act transitively on the set of all positive integer solutions to the equation $x^{2}+y^{2}+z^{2}=xyz$. The fundamental strong approximation conjecture for the Markoff equation states that for every prime $p$, the group $\Gamma$ acts transitively on the set $X^{*}\left(p\right)$ of non-zero solutions to the same equation over $\mathbb{Z}/p\mathbb{Z}$. Recently, Bourgain, Gamburd and Sarnak...
Topics: Group Theory, Number Theory, Mathematics
Source: http://arxiv.org/abs/1702.08358
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The observational properties of Soft Gamma Repeaters and Ano\-malous X-ray Pulsars (SGR/AXP) indicate to necessity of the energy source different from a rotational energy of a neutron star. The model, where the source of the energy is connected with a magnetic field dissipation in a highly magnetized neutron star (magnetar) is analyzed. Some observational inconsistencies are indicated for this interpretation. The alternative energy source, connected with the nuclear energy of superheavy nuclei...
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.08353
Arxiv.org
by Roscoe Bartlett; Irina Demeshko; Todd Gamblin; Glenn Hammond; Michael Heroux; Jeffrey Johnson; Alicia Klinvex; Xiaoye Li; Lois Curfman McInnes; J. David Moulton; Daniel Osei-Kuffuor; Jason Sarich; Barry Smith; Jim Willenbring; Ulrike Meier Yang
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Extreme-scale computational science increasingly demands multiscale and multiphysics formulations. Combining software developed by independent groups is imperative: no single team has resources for all predictive science and decision support capabilities. Scientific libraries provide high-quality, reusable software components for constructing applications with improved robustness and portability. However, without coordination, many libraries cannot be easily composed. Namespace collisions,...
Topics: Mathematical Software, Computing Research Repository
Source: http://arxiv.org/abs/1702.08425
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by Aditya Grover; Stefano Ermon
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We propose a new approach for using unsupervised boosting to create an ensemble of generative models, where models are trained in sequence to correct earlier mistakes. Our meta-algorithmic framework can leverage any existing base learner that permits likelihood evaluation, including recent latent variable models. Further, our approach allows the ensemble to include discriminative models trained to distinguish real data from model-generated data. We show theoretical conditions under which...
Topics: Learning, Machine Learning, Statistics, Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1702.08484
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It is well established that the notion of min-entropy fails to satisfy the \emph{chain rule} of the form $H(X,Y) = H(X|Y)+H(Y)$, known for Shannon Entropy. Such a property would help to analyze how min-entropy is split among smaller blocks. Problems of this kind arise for example when constructing extractors and dispersers. We show that any sequence of variables exhibits a very strong strong block-source structure (conditional distributions of blocks are nearly flat) when we \emph{spoil few...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.08476
Arxiv.org
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Let $R$ be a commutative ring and $M$ be an $R$-module, and let $I(R)^*$ be the set of all non-trivial ideals of $R$. The $M$-intersection graph of ideals of $R$, denoted by $G_M(R)$, is a graph with the vertex set $I(R)^*$, and two distinct vertices $I$ and $J$ are adjacent if and only if $IM\cap JM\neq 0$. For every multiplication $R$-module $M$, the diameter and the girth of $G_M(R)$ are determined. Among other results, we prove that if $M$ is a faithful $R$-module and the clique number of...
Topics: Commutative Algebra, Mathematics
Source: http://arxiv.org/abs/1702.08525
Arxiv.org
by Caroline Chaux; Laurent Duval; Jean-Christophe Pesquet
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We propose a 2D generalization to the $M$-band case of the dual-tree decomposition structure (initially proposed by N. Kingsbury and further investigated by I. Selesnick) based on a Hilbert pair of wavelets. We particularly address (\textit{i}) the construction of the dual basis and (\textit{ii}) the resulting directional analysis. We also revisit the necessary pre-processing stage in the $M$-band case. While several reconstructions are possible because of the redundancy of the representation,...
Topics: Physics, Computer Vision and Pattern Recognition, Data Analysis, Statistics and Probability,...
Source: http://arxiv.org/abs/1702.08534