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7.0

Jun 30, 2018
06/18

by
A. L. Saraiva; A. Baena; M. J. Calderón; Belita Koiller

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We provide here a roadmap for modeling silicon nano-devices with one or two group V donors (D). We discuss systems containing one or two electrons, that is, D^0, D^-, D_2^+ and D_2^0 centers. The impact of different levels of approximation is discussed. The most accurate instances -- for which we provide quantitative results -- are within multivalley effective mass including the central cell correction and a configuration interaction account of the electron-electron correlations. We also derive...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1407.8224

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64

Jun 30, 2018
06/18

by
A. O. Smirnov; E. G. Semenova; V. Zinger; N. Zinger

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A periodic two-phase algebro-geometric solution of the focusing nonlinear Schr\"odinger equation is constructed in terms of elliptic Jacobi theta-functions. A dependence of this solution on the parameters of a spectral curve is investigated. An existence of a real smooth finite-gap solution of NLS equation with complex initial phase is proven. Degenerations of the constructed solution to one-phase traveling wave solution and solutions in the form of the plane waves are carried.

Topics: Mathematics, Nonlinear Sciences, Exactly Solvable and Integrable Systems, Mathematical Physics,...

Source: http://arxiv.org/abs/1407.7974

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6.0

Jun 30, 2018
06/18

by
A. Zazunov; A. Brunetti; A. Levy Yeyati; R. Egger

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We present a comprehensive theoretical framework for the Andreev bound state population dynamics in superconducting weak links. Contrary to previous works, our approach takes into account the generated nonequilibrium distribution of the continuum quasiparticle states in a self-consistent way. As application of our theory, we show that the coupling of the superconducting contact to environmental phase fluctuations induces a charge imbalance of the continuum quasiparticle population. This...

Topics: Superconductivity, Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1407.7991

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80

Jun 30, 2018
06/18

by
A. de Paz; B. Naylor; J. Huckans A. Carrance; O. Gorceix; E. Marechal; P. Pedri; B. Laburthe-Tolra; L. Vernac

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We experimentally study the spin dynamics of mesoscopic ensembles of ultracold magnetic spin-3 atoms located in two separated wells of an optical dipole trap. We use a radio-frequency sweep to selectively flip the spin of the atoms in one of the wells, which produces two separated spin domains of opposite polarization. We observe that these engineered spin domains are metastable with respect to the long-range magnetic dipolar interactions between the two ensembles. The absence of inter-cloud...

Topics: Physics, Quantum Gases, Atomic Physics, Quantum Physics, Condensed Matter

Source: http://arxiv.org/abs/1407.8130

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Jun 30, 2018
06/18

by
Adriana Gonzalez; Laurent Jacques

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The 2-D phase unwrapping problem aims at retrieving a "phase" image from its modulo $2\pi$ observations. Many applications, such as interferometry or synthetic aperture radar imaging, are concerned by this problem since they proceed by recording complex or modulated data from which a "wrapped" phase is extracted. Although 1-D phase unwrapping is trivial, a challenge remains in higher dimensions to overcome two common problems: noise and discontinuities in the true phase...

Topics: Mathematics, Optimization and Control

Source: http://arxiv.org/abs/1407.8040

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8.0

Jun 30, 2018
06/18

by
Alexandru Dimca; Stefan Papadima; Alexandru Suciu

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We relate the geometry of the resonance varieties associated to a commutative differential graded algebra model of a space to the finiteness properties of the completions of its Alexander-type invariants. We also describe in simple algebraic terms the non-translated components of the degree-one characteristic varieties for a class of non-proper complex manifolds.

Topics: Mathematics, Algebraic Topology, Algebraic Geometry

Source: http://arxiv.org/abs/1407.8027

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5.0

Jun 30, 2018
06/18

by
Amadeo Jimenez-Alba; Karl Landsteiner; Luis Melgar

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We study the magneto response with non-conserved currents in Holography. Non-conserved currents are dual to massive vector fields in AdS. We introduce the mass in a gauge invariant way via the St\"uckelberg mechanism. In particular we find generalizations of the Chiral Magnetic Effect, the Chiral Separation Effect and the Chiral Magnetic Wave. Since the associated charge is not conserved we need to source it explicitly by a coupling, the generalization of the chemical potential. In this...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology, Strongly Correlated Electrons,...

Source: http://arxiv.org/abs/1407.8162

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Jun 30, 2018
06/18

by
Andreas Buhr; Christian Engwer; Mario Ohlberger; Stephan Rave

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The Reduced Basis (RB) method is a well established method for the model order reduction of problems formulated as parametrized partial differential equations. One crucial requirement for the application of RB schemes is the availability of an a posteriori error estimator to reliably estimate the error introduced by the reduction process. However, straightforward implementations of standard residual based estimators show poor numerical stability, rendering them unusable if high accuracy is...

Topics: Mathematics, Numerical Analysis

Source: http://arxiv.org/abs/1407.8005

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6.0

Jun 30, 2018
06/18

by
Anna M. Barry; F. Hajir; P. G. Kevrekidis

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In this work, we construct suitable generating functions for vortices of alternating signs in the realm of Bose-Einstein condensates. In addition to the vortex-vortex interaction included in earlier fluid dynamics constructions of such functions, the vortices here precess around the center of the trap. This results in the generating functions of the vortices of positive charge and of negative charge satisfying a modified, so-called, Tkachenko differential equation. From that equation, we...

Topics: Nonlinear Sciences, Quantum Gases, Mathematics, Pattern Formation and Solitons, Mathematical...

Source: http://arxiv.org/abs/1407.7965

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6.0

Jun 30, 2018
06/18

by
Assaf Ben-Yishai; Ofer Shayevitz

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Consider a pair of terminals connected by two independent additive white Gaussian noise channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal, within a given error probability. We construct an explicit interactive scheme consisting of only (non-linear) scalar operations, by endowing the Schalkwijk-Kailath noiseless feedback scheme with modulo arithmetic. Our scheme achieves a communication rate close to the...

Topics: Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1407.8022

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Jun 30, 2018
06/18

by
Awais Khawar; Ahmed Abdelhadi; T. Charles Clancy

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Multiple-input multiple-output (MIMO) radar is a relatively new concept in the field of radar signal processing. Many novel MIMO radar waveforms have been developed by considering various performance metrics and constraints. In this paper, we show that finite alphabet constant-envelope (FACE) quadrature-pulse shift keying (QPSK) waveforms can be designed to realize a given covariance matrix by transforming a constrained nonlinear optimization problem into an unconstrained nonlinear optimization...

Topics: Networking and Internet Architecture, Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1407.8510

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7.0

Jun 30, 2018
06/18

by
Benjamin Dodson; Andrew Lawrie

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In this paper we study the focusing cubic wave equation in 1+5 dimensions with radial initial data as well as the one-equivariant wave maps equation in 1+3 dimensions with the model target manifolds $\mathbb{S}^3$ and $\mathbb{H}^3$. In both cases the scaling for the equation leaves the $\dot{H}^{\frac{3}{2}} \times \dot{H}^{\frac{1}{2}}$-norm of the solution invariant, which means that the equation is super-critical with respect to the conserved energy. Here we prove a conditional scattering...

Topics: Mathematics, Analysis of PDEs, Mathematical Physics

Source: http://arxiv.org/abs/1407.8199

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4.0

Jun 30, 2018
06/18

by
Boris A. Malomed; Dmitry E. Pelinovsky

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We justify the Thomas--Fermi approximation for the elliptic problem with the repulsive nonlinear confinement used in the recent physical literature. The method is based on the resolvent estimates and the fixed-point iterations.

Topics: Nonlinear Sciences, Mathematics, Analysis of PDEs, Pattern Formation and Solitons

Source: http://arxiv.org/abs/1407.8043

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8.0

Jun 30, 2018
06/18

by
Brian Swingle; John McGreevy

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We give a detailed physical argument for the area law for entanglement entropy in gapped phases of matter arising from local Hamiltonians. Our approach is based on renormalization group (RG) ideas and takes a resource oriented perspective. We report four main results. First, we argue for the "weak area law": any gapped phase with a unique ground state on every closed manifold obeys the area law. Second, we introduce an RG based classification scheme and give a detailed argument that...

Topics: Quantum Physics, High Energy Physics - Theory, Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1407.8203

4
4.0

Jun 30, 2018
06/18

by
Bruno Rousseau; François Lapointe; Minh Nguyen; Maxime Biron; Etienne Gaufrès; Saman Choubak; Zheng Han; Vincent Bouchiat; Patrick Desjardins; Michel Côté; Richard Martel

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Herein, intervalley scattering is exploited to account for anomalous antiresonances in the infrared spectra of doped and disordered single layer graphene. We present infrared spectroscopy measurements of graphene grafted with iodophenyl moieties in both reflection microscopy and transmission configurations. Asymmetric transparency windows at energies corresponding to phonon modes near the {\Gamma} and K points are observed, in contrast to the featureless spectrum of pristine graphene. These...

Topics: Mesoscale and Nanoscale Physics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1407.8141

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5.0

Jun 30, 2018
06/18

by
Caihua Chen; Shiqian Ma; Junfeng Yang

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In this paper, we first propose a general inertial proximal point method for the mixed variational inequality (VI) problem. Based on our knowledge, without stronger assumptions, convergence rate result is not known in the literature for inertial type proximal point methods. Under certain conditions, we are able to establish the global convergence and a $o(1/k)$ convergence rate result (under certain measure) of the proposed general inertial proximal point method. We then show that the...

Topics: Mathematics, Optimization and Control

Source: http://arxiv.org/abs/1407.8238

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6.0

Jun 30, 2018
06/18

by
Chia-Yu Hsieh; YunKyong Hyon; Hijin Lee; Tai-Chia Lin; Chun Liu

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In order to describe the dynamics of crowded ions (charged particles), we use an energetic variation approach to derive a modified Poisson-Nernst-Planck (PNP) system which includes an extra dissipation due to the effective velocity differences between ion species. Such a system is more complicated than the original PNP system but with the same equilibrium states. Using Schauder's fixed-point theorem, we develop a local existence theorem of classical solutions for the modified PNP system....

Topics: Mathematics, Analysis of PDEs, Mathematical Physics

Source: http://arxiv.org/abs/1407.8245

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Jun 30, 2018
06/18

by
Chuanhai Liu; Ryan Martin

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The development of statistical methods for valid and efficient probabilistic inference without prior distributions has a long history. Fisher's fiducial inference is perhaps the most famous of these attempts. We argue that, despite its seemingly prior-free formulation, fiducial and its various extensions are not prior-free and, therefore, do not meet the requirements for prior-free probabilistic inference. In contrast, the inferential model (IM) framework is genuinely prior-free and is shown to...

Topics: Mathematics, Statistics Theory, Statistics, Methodology

Source: http://arxiv.org/abs/1407.8225

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6.0

Jun 30, 2018
06/18

by
Chunhua Wang; Changlin Xiang

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Let $1 p^{2}+p,a(0)>0$ and $\Omega$ satisfies some geometry conditions if $0\in\partial\Omega$, say, all the principle curvatures of $\partial\Omega$ at $0$ are negative, then the above problem has infinitely many solutions.

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.7982

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Jun 30, 2018
06/18

by
Cédric M. Campos; J. M. Sanz-Serna

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We study a method, Extra Chance Generalized Hybrid Monte Carlo, to avoid rejections in the Hybrid Monte Carlo method and related algorithms. In the spirit of delayed rejection, whenever a rejection would occur, extra work is done to find a fresh proposal that, hopefully, may be accepted. We present experiments that clearly indicate that the additional work per sample carried out in the extra chance approach clearly pays in terms of the quality of the samples generated.

Topics: Probability, Mathematics, Numerical Analysis

Source: http://arxiv.org/abs/1407.8107

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6.0

Jun 30, 2018
06/18

by
D. J. Hepburn; E. MacLeod; G. J. Ackland

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We present a comprehensive set of first principles electronic structure calculations to study transition metal solutes and their interactions with point defects in austenite. Clear trends were observed across the series. Solute-defect interactions were strongly correlated to the solute size factors, consistent with local strain field effects. Strong correlations with results in ferrite show insensitivity to the underlying crystal structure in Fe. Oversized solutes act as strong traps for...

Topics: Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1407.7996

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5.0

Jun 30, 2018
06/18

by
Daniel E. Sheehy

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The ground-state phase diagram of attractively-interacting Fermi gases in two dimensions with a population imbalance is investigated. We find the regime of stability for the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, in which pairing occurs at finite wave vector, and determine the magnitude of the pairing amplitude $\Delta$ and FFLO wavevector $q$ in the ordered phase, finding that $\Delta$ can be of the order of the two-body binding energy. Our results rely on a careful analysis of the...

Topics: Quantum Gases, Condensed Matter

Source: http://arxiv.org/abs/1407.8021

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6.0

Jun 30, 2018
06/18

by
David Dumas; Michael Wolf

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We construct and study a natural homeomorphism between the moduli space of polynomial cubic differentials of degree d on the complex plane and the space of projective equivalence classes of oriented convex polygons with d+3 vertices. This map arises from the construction of a complete hyperbolic affine sphere with prescribed Pick differential, and can be seen as an analogue of the Labourie-Loftin parameterization of convex RP^2 structures on a compact surface by the bundle of holomorphic cubic...

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1407.8149

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5.0

Jun 30, 2018
06/18

by
David Sutter; Tobias Sutter; Peyman Mohajerin Esfahani; Renato Renner

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We propose an iterative method for approximating the capacity of classical-quantum channels with a discrete input alphabet and a finite dimensional output, possibly under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and lower bounds for the capacity. To provide an $\varepsilon$-close estimate to the capacity, the presented algorithm requires $O(\tfrac{(N \vee M) M^3 \log(N)^{1/2}}{\varepsilon})$, where $N$ denotes the input...

Topics: Quantum Physics, Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1407.8202

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4.0

Jun 30, 2018
06/18

by
Diego Rainis; Daniel Loss

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We consider electronic transport through semiconducting nanowires (W) with spin-orbit interaction (SOI), in a hybrid N-W-N setup where the wire is contacted by normal-metal leads (N). We investigate the conductance behavior of the system as a function of gate and bias voltage, magnetic field, wire length, temperature, and disorder. The transport calculations are performed numerically and are based on standard recursive Green's function techniques. In particular, we are interested in...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1407.8239

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6.0

Jun 30, 2018
06/18

by
Diogo A. Gomes; Hiroyoshi Mitake

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In this paper, we investigate the existence and uniqueness of solutions to a stationary mean field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian with possibly singular congestion effects. Thanks to a new class of a-priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions.

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.8267

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Jun 30, 2018
06/18

by
E. Costa; R. Diógenes; E. Ribeiro

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In a remarkable article published in 1982, M. Gromov introduced the concept of minimal volume, namely, the minimal volume of a manifold $M^n$ is defined to be the greatest lower bound of the total volumes of $M^n$ with respect to complete Riemannian metrics whose sectional curvature is bounded above in absolute value by 1. While the minimal curvature, introduced by G. Yun in 1996, is the smallest pinching of the sectional curvature among metrics of volume 1. The goal of this article is to...

Topics: Mathematics, Differential Geometry, Geometric Topology

Source: http://arxiv.org/abs/1407.8137

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5.0

Jun 30, 2018
06/18

by
E. Nicklas; W. Muessel; H. Strobel; P. G. Kevrekidis; M. K. Oberthaler

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The dynamical evolution of spatial patterns in a complex system can reveal the underlying structure and stability of stationary states. As a model system we employ a two-component rubidium Bose-Einstein condensate at the transition from miscible to immiscible with the additional control of linear interconversion. Excellent agreement is found between the detailed experimental time evolution and the corresponding numerical mean-field computations. Analyzing the dynamics of the system, we find...

Topics: Quantum Gases, Nonlinear Sciences, Pattern Formation and Solitons, Condensed Matter

Source: http://arxiv.org/abs/1407.8049

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Jun 30, 2018
06/18

by
Emma Carberry; Martin Ulrich Schmidt

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Constant mean curvature (CMC) tori in Euclidean 3-space are described by an algebraic curve, called the spectral curve, together with a line bundle on this curve and a point on $ S ^ 1 $, called the Sym point. For a given spectral curve the possible choices of line bundle and Sym point are easily described. The space of spectral curves of tori is totally disconnected. Hence to characterise the "moduli space" of CMC tori one should, for each genus $g$, determine the closure...

Topics: Mathematics, Differential Geometry

Source: http://arxiv.org/abs/1407.7986

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7.0

Jun 30, 2018
06/18

by
Ezequiel E. Ferrero; Kirsten Martens; Jean-Louis Barrat

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We study consequences of long-range elasticity in thermally assisted dynamics of yield stress materials. Within a two-dimensinal mesoscopic model we calculate the mean-square displacement and the dynamical structure factor for tracer particle trajectories. The ballistic regime at short time scales is associated with a compressed exponential decay in the dynamical structure factor, followed by a subdiffusive crossover prior to the onset of diffusion. We relate this crossover to spatiotemporal...

Topics: Statistical Mechanics, Soft Condensed Matter, Disordered Systems and Neural Networks, Condensed...

Source: http://arxiv.org/abs/1407.8014

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5.0

Jun 30, 2018
06/18

by
Farhad A. Goodarzi; Daewon Lee; Taeyoung Lee

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We derived a coordinate-free form of equations of motion for a complete model of a quadrotor UAV with a payload which is connected via a flexible cable according to Lagrangian mechanics on a manifold. The flexible cable is modeled as a system of serially-connected links and has been considered in the full dynamic model. A geometric nonlinear control system is presented to exponentially stabilize the position of the quadrotor while aligning the links to the vertical direction below the...

Topics: Mathematics, Optimization and Control

Source: http://arxiv.org/abs/1407.8164

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7.0

Jun 30, 2018
06/18

by
Fernando Cordero; Lavinia Perez-Ostafe

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We study the arbitrage opportunities in the presence of transaction costs in a sequence of binary markets approximating the fractional Black-Scholes model. This approximating sequence was constructed by Sottinen and named fractional binary markets. Since, in the frictionless case, these markets admit arbitrage, we aim to determine the size of the transaction costs needed to eliminate the arbitrage from these models. To gain more insight, we first consider only 1-step trading strategies and we...

Topics: Probability, Mathematics, Quantitative Finance, Pricing of Securities

Source: http://arxiv.org/abs/1407.8068

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6.0

Jun 30, 2018
06/18

by
Franziska Jahnke; Jochen Koenigsmann

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Admitting a non-trivial $p$-henselian valuation is a weaker assumption on a field than admitting a non-trivial henselian valuation. Unlike henselianity, $p$-henselianity is an elementary property in the language of rings. We are interested in the question when a field admits a non-trivial 0-definable $p$-henselian valuation (in the language of rings). We give a classification of elementary classes of fields in which the canonical $p$-henselian valuation is uniformly 0-definable. We then apply...

Topics: Mathematics, Logic, Commutative Algebra

Source: http://arxiv.org/abs/1407.8156

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5.0

Jun 30, 2018
06/18

by
Frederic Legoll; William Minvielle

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We consider a variance reduction approach for the stochastic homogenization of divergence form linear elliptic problems. Although the exact homogenized coefficients are deterministic, their practical approximations are random. We introduce a control variate technique to reduce the variance of the computed approximations of the homogenized coefficients. Our approach is based on a surrogate model inspired by a defect-type theory, where a perfect periodic material is perturbed by rare defects....

Topics: Mathematics, Numerical Analysis, Probability

Source: http://arxiv.org/abs/1407.8029

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7.0

Jun 30, 2018
06/18

by
Friedrich Knop; Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

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We apply the local structure theorem and the polar decomposition to a real spherical space Z=G/H and control the volume growth on Z. We define the Harish-Chandra Schwartz space on Z. We give a geometric criterion to ensure $L^p$-integrability of matrix coefficients on Z.

Topics: Mathematics, Representation Theory

Source: http://arxiv.org/abs/1407.8006

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9.0

Jun 30, 2018
06/18

by
Gabriel Calsamiglia; Paulo Sad

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We consider the problem of extending germs of plane holomorphic foliations to foliations of compact surfaces. We show that the germs that become regular after a single blow up and admit meromorphic first integrals can be extended, after local changes of coordinates, to foliations of compact surfaces. We also show that the simplest elements in this class can be defined by polynomial equations. On the other hand we prove that, in the absence of meromorphic first integrals there are uncountably...

Topics: Complex Variables, Mathematics, Dynamical Systems

Source: http://arxiv.org/abs/1407.8111

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8.0

Jun 30, 2018
06/18

by
Gang Liao; Wenxiang Sun; Shirou Wang

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We prove that entropy map is upper semi-continuous for C1 nonuniformly hyperbolic systems with domination, while it is not true for C1+alpha nonuniformly hyperbolic systems in general. This goes a little against a common intuition that conclusions are parallel between C1+domination systems and C1+alpha systems.

Topics: Mathematics, Dynamical Systems

Source: http://arxiv.org/abs/1407.8102

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5.0

Jun 30, 2018
06/18

by
Genggeng Huang; Congming Li

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In this paper, we apply the moving plane method to the following high order degenerate elliptic equation,\begin{equation*} (-A)^p u=u^\alpha\text{ in } \mathbb R^{n+1}_+,n\geq 1, \end{equation*}where the operator $A=y\partial_y^2+a\partial_y+\Delta_x,a\geq 1$. We get a Liouville theorem for subcritical case and classify the solutions for the critical case.

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.7978

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5.0

Jun 30, 2018
06/18

by
Georgios Psaradakis; Daniel Spector

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We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case $p=n\geq2.$ In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for $p=2n\geq1$ in G. Psaradakis, An optimal Hardy-Morrey inequality, Calc. Var. Partial Differential Equations 45 (3-4) (2012) 421--441.

Topics: Functional Analysis, Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.7983

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5.0

Jun 30, 2018
06/18

by
Hoai-Minh Nguyen

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This paper is devoted to the study of cloaking via anomalous localized resonance (CALR) in the two and three dimensional quasistatic regimes. CALR associated with negative index materials was discovered by Milton and Nicorovicci in [21] and attracted a lot attention in the scientific community. Two key figures of this phenomenon are the localized resonance, i.e., the fields blow up in some regions and remain bounded in some others, and the connection between the localized resonance and the blow...

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.7977

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7.0

Jun 30, 2018
06/18

by
Huy Nguyen; Hao Shi; Jie Xu; Shiwei Zhang

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We describe CPMC-Lab, a Matlab program for the constrained-path and phaseless auxiliary-field Monte Carlo methods. These methods have allowed applications ranging from the study of strongly correlated models, such as the Hubbard model, to ab initio calculations in molecules and solids. The present package implements the full ground-state constrained-path Monte Carlo (CPMC) method in Matlab with a graphical interface, using the Hubbard model as an example. The package can perform calculations in...

Topics: Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1407.7967

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5.0

Jun 30, 2018
06/18

by
I. A. Karimjanov; A. Kh. Khudoyberdiyev; B. A. Omirov

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In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators on elements of Leibniz algebra have upper triangular forms. We establish that solvable Leibniz algebra of a maximal possible dimension with a given triangular nilradical is a Lie algebra. Furthermore, solvable Leibniz algebras with triangular nilradicals of low dimensions are classified.

Topics: Mathematics, Rings and Algebras

Source: http://arxiv.org/abs/1407.7956

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Jun 30, 2018
06/18

by
Javad Noorbakhsh; David Schwab; Allyson Sgro; Thomas Gregor; Pankaj Mehta

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Unicellular organisms exhibit elaborate collective behaviors in response to environmental cues. These behaviors are controlled by complex biochemical networks within individual cells and coordinated through cell-to-cell communication. Describing these behaviors requires new mathematical models that can bridge scales -- from biochemical networks within individual cells to spatially structured cellular populations. Here, we present a family of multiscale models for the emergence of spiral waves...

Topics: Nonlinear Sciences, Quantitative Biology, Mathematics, Pattern Formation and Solitons, Cell...

Source: http://arxiv.org/abs/1407.8210

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10.0

Jun 30, 2018
06/18

by
Jennifer Hom

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Ozsvath-Stipsicz-Szabo recently defined a one-parameter family, upsilon of K at t, of concordance invariants associated to the knot Floer complex. We compare their invariant to the {-1, 0, 1}-valued concordance invariant epsilon, which is also associated to the knot Floer complex. In particular, we give an example of a knot K with upsilon uniformly equal to zero but epsilon non-zero.

Topics: Mathematics, Geometric Topology

Source: http://arxiv.org/abs/1407.8200

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6.0

Jun 30, 2018
06/18

by
Ji Oon Lee; Kevin Schnelli

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We consider $N\times N$ random matrices of the form $H = W + V$ where $W$ is a real symmetric Wigner matrix and $V$ a random or deterministic, real, diagonal matrix whose entries are independent of $W$. We assume subexponential decay for the matrix entries of $W$ and we choose $V$ so that the eigenvalues of $W$ and $V$ are typically of the same order. For a large class of diagonal matrices $V$ we show that the rescaled distribution of the extremal eigenvalues is given by the Tracy-Widom...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1407.8015

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5.0

Jun 30, 2018
06/18

by
Jige Chen; Yi Gao; Chunlei Wang; Renliang Zhang; Hong Zhao; Haiping Fang

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Thermally driven nanotube nanomotors provide linear mass transportation controlled by a temperature gradient. However, the underlying mechanism is still unclear where the mass transportation velocity in experiment is much lower than that resulting from simulations. Considering that defects are common in fabricated nanotubes, we use molecular dynamics simulations to show that the mass transportation would be considerably impeded by the potential barriers or wells induced by the defects, which...

Topics: Mesoscale and Nanoscale Physics, Statistical Mechanics, Condensed Matter

Source: http://arxiv.org/abs/1407.8263

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5.0

Jun 30, 2018
06/18

by
Jing Tang; Shuo Cao; Yunan Gao; Yue Sun; Weidong Geng; David A. Williams; Kuijuan Jin; Xiulai Xu

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We report a photoluminescence (PL) spectroscopy study of charge state control in single self-assembled InAs/GaAs quantum dots by applying electric and/or magnetic fields at 4.2 K. Neutral and charged exciton complexes were observed under applied bias voltages from -0.5 V to 0.5 V by controlling the carrier tunneling. The highly negatively charged exciton emission becomes stronger with increasing pumping power, arising from the fact that electrons have a smaller effective mass than holes and are...

Topics: Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1407.7980

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5.0

Jun 30, 2018
06/18

by
John D. Jakeman; Michael S. Eldred; Khachik Sargsyan

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In this paper we present a basis selection method that can be used with $\ell_1$-minimization to adaptively determine the large coefficients of polynomial chaos expansions (PCE). The adaptive construction produces anisotropic basis sets that have more terms in important dimensions and limits the number of unimportant terms that increase mutual coherence and thus degrade the performance of $\ell_1$-minimization. The important features and the accuracy of basis selection are demonstrated with a...

Topics: Mathematics, Numerical Analysis, Computing Research Repository

Source: http://arxiv.org/abs/1407.8093

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6.0

Jun 30, 2018
06/18

by
Jonathan L. Gross; Michal Kotrbčík; Timothy Sun

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We derive a quadratic-time algorithm for the genus distribution of any 3-regular, biconnected series-parallel graph, which we extend to any biconnected series-parallel graph of maximum degree at most 3. Since the biconnected components of every graph of treewidth 2 are series-parallel graphs, this yields, by use of bar-amalgamation, a quadratic-time algorithm for every graph of treewidth at most 2 and maximum degree at most 3.

Topics: Mathematics, Discrete Mathematics, Computing Research Repository, Combinatorics

Source: http://arxiv.org/abs/1407.8031

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8.0

Jun 30, 2018
06/18

by
Kanishka Perera; Marco Squassina; Yang Yang

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In this paper we investivate bifurcation results for a class of problem in a smooth bounded domain involving the fractional p-Laplacian operator and with a nonlinearity that reaches the critical growth with respect to the fractional Sobolev embedding.

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.8061