Mathematics

Authors and titles for October 2014

[101] arXiv:1410.0331 [pdf, other]

Title: Geometry, dynamics, and arithmetic of $S$-adic shifts

Valérie Berthé (IRIF), Wolfgang Steiner (IRIF), Jörg Thuswaldner (MUL)

Comments: After this paper was published in Ann. Inst. Fourier (Grenoble) (2019), we observed that Theorem 3.3 holds in a more general setting. The present manuscript contains this more general version of Theorem 3.3. To prove it we needed to change the last part of its proof (see p.32)

Journal-ref: Ann. Inst. Fourier (Grenoble) 69 (2019) 1347-1409

Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)

[102] arXiv:1410.0332 [pdf, other]

Title: Grundy values of Fibonacci nim

Urban Larsson, Simon Rubinstein-Salzedo

Comments: To appear in International Journal of Game Theory

Subjects: Combinatorics (math.CO)

[103] arXiv:1410.0333 [pdf, other]

Title: Connections between Optimal Transport, Combinatorial Optimization and Hydrodynamics

Yann Brenier (CMLS-EcolePolytechnique)

Subjects: Analysis of PDEs (math.AP)

[104] arXiv:1410.0335 [pdf, other]

Title: Derivation of nonlinear Gibbs measures from many-body quantum mechanics

Mathieu Lewin (CEREMADE), Phan Thành Nam, Nicolas Rougerie (LPMMC)

Comments: to appear in Journal de l'Ecole Polytechnique

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[105] arXiv:1410.0339 [pdf, other]

Title: Upper and Lower Bounds for Numerical Radii of Block Shifts

Hwa-Long Gau, Pei Yuan Wu

Comments: 12 pages

Subjects: Functional Analysis (math.FA)

[106] arXiv:1410.0340 [pdf, other]

Title: Resonances for Thin Barriers on the Circle

Jeffrey Galkowski

Comments: 23 pages, 6 figure

Journal-ref: J. Phys. A 49 (2016), no. 12, 125205, 22 pp

Subjects: Analysis of PDEs (math.AP)

[107] arXiv:1410.0341 [pdf, other]

Title: Strongly degenerate time inhomogeneous SDEs: densities and support properties. Application to a Hodgkin-Huxley system with periodic input

Reinhard Höpfner, E. Löcherbach, M. Thieullen

Comments: 35 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1310.7373

Subjects: Probability (math.PR)

[108] arXiv:1410.0346 [pdf, other]

Title: Optimal bounds for aggregation of affine estimators

Pierre C. Bellec

Comments: Published at this https URL in the Annals of Statistics (this http URL ) by the Institute of Mathematical Statistics (this http URL )

Journal-ref: Ann. Statist. Volume 46, Number 1 (2018), 30-59

Subjects: Statistics Theory (math.ST); Probability (math.PR)

[109] arXiv:1410.0347 [pdf, other]

Title: Bootstrap confidence sets under model misspecification

Vladimir Spokoiny, Mayya Zhilova

Comments: Published at this http URL in the Annals of Statistics (this http URL) by the Institute of Mathematical Statistics (this http URL)

Journal-ref: Annals of Statistics 2015, Vol. 43, No. 6, 2653-2675

Subjects: Statistics Theory (math.ST)

[110] arXiv:1410.0349 [pdf, other]

Title: Deterministic Homogenization of Unsteady Navier-Stokes type Equations

Lazarus Signing

Comments: 38 pages. arXiv admin note: text overlap with arXiv:1101.2781

Subjects: Analysis of PDEs (math.AP)

[111] arXiv:1410.0380 [pdf, other]

Title: On Capacity Regions of Two-Receiver Broadcast Packet Erasure Channels with Feedback and Memory

Michael Heindlmaier, Navid Reyhanian, Shirin Saeedi Bidokhti

Comments: Corrected version, extended version of work presented at Allerton '14

Subjects: Information Theory (cs.IT)

[112] arXiv:1410.0384 [pdf, other]

Title: Indifference pricing for Contingent Claims: Large Deviations Effects

Scott Robertson, Konstantinos Spiliopoulos

Subjects: Probability (math.PR); Mathematical Finance (q-fin.MF)

[113] arXiv:1410.0386 [pdf, other]

Title: Rare event simulation for multiscale diffusions in random environments

Konstantinos Spiliopoulos

Comments: Final version, paper to appear in SIAM Journal Multiscale Modelling and Simulation

Subjects: Probability (math.PR); Methodology (stat.ME)

[114] arXiv:1410.0390 [pdf, other]

Title: Simple Complexity Analysis of Simplified Direct Search

Jakub Konečný, Peter Richtárik

Comments: 21 pages, 5 algorithms, 1 table

Subjects: Optimization and Control (math.OC); Computational Complexity (cs.CC)

[115] arXiv:1410.0393 [pdf, other]

Title: Trapped Modes and Steered Dirac Cones in Platonic Crystals

R. C. McPhedran, A. B. Movchan, N. V. Movchan, M. Brun, M. J. A. Smith

Comments: 21 pages, 12 figures

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

[116] arXiv:1410.0398 [pdf, other]

Title: Product Vacua and Boundary State Models in d Dimensions

Sven Bachmann, Eman Hamza, Bruno Nachtergaele, Amanda Young

Journal-ref: J. Stat. Phys. 160, 636--658 (2015)

Subjects: Mathematical Physics (math-ph)

[117] arXiv:1410.0402 [pdf, other]

Title: A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators

Kanishka Perera, Marco Squassina, Yang Yang

Comments: 13 pages, typos corrected

Subjects: Analysis of PDEs (math.AP)

[118] arXiv:1410.0405 [pdf, other]

Title: Linearly Solvable Stochastic Control Lyapunov Functions

Yoke Peng Leong, Matanya B. Horowitz, Joel W. Burdick

Comments: Published in SIAM Journal of Control and Optimization

Journal-ref: SIAM Journal of Control and Optimization 2016 54:6, 3106-3125

Subjects: Optimization and Control (math.OC)

[119] arXiv:1410.0407 [pdf, other]

Title: On three measures of non-convexity

Josef Cibulka, Miroslav Korbelář, Jan Kynčl, Viola Mészáros, Rudolf Stolař, Pavel Valtr

Comments: 28 pages, 9 figures; minor changes, added a few definitions and two references regarding metabelian groups

Journal-ref: Israel Journal of Mathematics 218 (2017), Issue 1, 331-369

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)

[120] arXiv:1410.0411 [pdf, other]

Title: Information-driven Fully Distributed Kalman Filter for Sensor Networks in Presence of Naive Nodes

Shaocheng Wang, Wei Ren, Zhongkui Li

Subjects: Optimization and Control (math.OC)

[121] arXiv:1410.0415 [pdf, other]

Title: A Global Trace Formula for Reductive Lie Algebras and the Harish-Chandra Transform on the Space of Characteristic Polynomials

Shuyang Cheng

Comments: removed an error from an earlier version

Subjects: Representation Theory (math.RT)

[122] arXiv:1410.0416 [pdf, other]

Title: On a zero-gravity limit of the Kerr--Newman spacetimes and their electromagnetic fields

A. Shadi Tahvildar-Zadeh

Comments: 22 pages, one figure; minor revisions

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP); Quantum Physics (quant-ph)

[123] arXiv:1410.0417 [pdf, other]

Title: Visualising the arithmetic of imaginary quadratic fields

Katherine E. Stange

Comments: Correction to proof of Lemma 7.8. 22 pages, 5 figures

Subjects: Number Theory (math.NT); Metric Geometry (math.MG)

[124] arXiv:1410.0419 [pdf, other]

Title: The Dirac point electron in zero-gravity Kerr--Newman spacetime

M. K.-H. Kiessling, A. S. Tahvildar-Zadeh

Comments: 49 pages, 17 figures; referee's comments implemented; the endnotes in the published version appear as footnotes in this preprint

Journal-ref: Journal of Mathematical Physics, vol.56, article 042303 (2015)

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Quantum Physics (quant-ph)

[125] arXiv:1410.0420 [pdf, other]

Title: Permutation Groups and Orbits on Power Sets

Yong Yang

Subjects: Group Theory (math.GR)

[126] arXiv:1410.0423 [pdf, other]

Title: Anisotropic Sobolev Capacity with Fractional Order

Jie Xiao, Deping Ye

Journal-ref: Can. J. Math.-J. Can. Math. 69 (2017) 873-889

Subjects: Metric Geometry (math.MG); Mathematical Physics (math-ph); Differential Geometry (math.DG); Functional Analysis (math.FA)

[127] arXiv:1410.0424 [pdf, other]

Title: Almost Empty Monochromatic Triangles in Planar Point Sets

Deepan Basu, Kinjal Basu, Bhaswar B. Bhattacharya, Sandip Das

Comments: Revised. 10 Pages, 2 figures. To appear in Discrete Applied Mathematics

Subjects: Combinatorics (math.CO)

[128] arXiv:1410.0427 [pdf, other]

Title: Elementary Equivariant Modules

Mikhail Gudim

Subjects: Commutative Algebra (math.AC); Representation Theory (math.RT)

[129] arXiv:1410.0428 [pdf, other]

Title: Metric measure geometry

Takashi Shioya

Comments: 172 pages; not a final version; to appear in the IRMA series of the European Mathematical Society

Subjects: Metric Geometry (math.MG)

[130] arXiv:1410.0430 [pdf, other]

Title: Cycles with consecutive odd lengths

Jie Ma

Comments: 7 pages

Subjects: Combinatorics (math.CO)

[131] arXiv:1410.0435 [pdf, other]

Title: Stacks in Representation Theory. What is a continuous representation of an algebraic group ?

Joseph Bernstein

Subjects: Representation Theory (math.RT)

[132] arXiv:1410.0437 [pdf, other]

Title: Integrable Aspects of Universal Quantum Transport in Chaotic Cavities

Eugene Kanzieper

Comments: A brief review mainly based on arXiv:0806.2784, arXiv:0902.3069 and arXiv:1111.5557; to appear in the Special Issue: Painlevé Equations -- Part II (Constructive Approximation, 2014)

Journal-ref: Constructive Approximation 41, 615 (2015)

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Chaotic Dynamics (nlin.CD); Exactly Solvable and Integrable Systems (nlin.SI)

[133] arXiv:1410.0443 [pdf, other]

Title: Strong Converse for a Degraded Wiretap Channel via Active Hypothesis Testing

Masahito Hayashi, Himanshu Tyagi, Shun Watanabe

Comments: This paper was presented at Allerton 2014

Subjects: Information Theory (cs.IT)

[134] arXiv:1410.0444 [pdf, other]

Title: Joint SIC and Relay Selection for Cooperative DS-CDMA Systems

J. Gu, R. C. de Lamare

Comments: 5 figures, conference

Subjects: Information Theory (cs.IT)

[135] arXiv:1410.0445 [pdf, other]

Title: Multicolored Isomorphic Spanning Trees in Complete Graphs

Hung-Lin Fu, Yuan-Hsun Lo

Comments: 10 pages, 6 figures. This paper has been accepted for publication in Ars Combinatoria

Journal-ref: Ars Combinatoria, 122 (2015) 423-430

Subjects: Combinatorics (math.CO)

[136] arXiv:1410.0447 [pdf, other]

Title: Existence of pearled patterns in the planar Functionalized Cahn-Hilliard equation

Keith Promislow, Qiliang Wu

Comments: 40 pages, 4 figures; key words: functionalized Cahn-Hilliard, pearled bilayer, spatial dynamics, normal form, singular perturbation

Subjects: Analysis of PDEs (math.AP)

[137] arXiv:1410.0449 [pdf, other]

Title: BSDEs driven by a multi-dimensional martingale and their applications to market models with funding costs

Tianyang Nie, Marek Rutkowski

Subjects: Probability (math.PR)

[138] arXiv:1410.0455 [pdf, other]

Title: Strong Koszulness of the toric ring associated to a cut ideal

Kazuki Shibata

Comments: 10 pages, 3 figures

Journal-ref: Commentarii Mathematici Universitatis Sancti Pauli 64 (2015), no. 1, 71-80

Subjects: Commutative Algebra (math.AC)

[139] arXiv:1410.0457 [pdf, other]

Title: Asymptotic entropy of transformed random walks

Behrang Forghani

Journal-ref: Ergodic Theory and Dynamical Systems (2017)

Subjects: Dynamical Systems (math.DS); Group Theory (math.GR); Probability (math.PR)

[140] arXiv:1410.0458 [pdf, other]

Title: When does a discrete-time random walk in $\mathbb{R}^n$ absorb the origin into its convex hull?

Konstantin Tikhomirov, Pierre Youssef

Comments: Added the matching bound contained in the paper Minimax of an n-dimension Brownian motion which is withdrawn

Journal-ref: Ann. Probab. Volume 45, Number 2 (2017), 965-1002

Subjects: Probability (math.PR)

[141] arXiv:1410.0466 [pdf, other]

Title: Brauer groups for quiver moduli

Markus Reineke, Stefan Schroeer

Comments: 20 pages

Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)

[142] arXiv:1410.0467 [pdf, other]

Title: A fractional Helly theorem for boxes

I. Bárány, F. Fodor, A. Martínez-Pérez, L. Montejano, D. Oliveros, A. Pór

Journal-ref: Computational Geometry: Theory and Applications 48 (2015), no. 3, 221-224

Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)

[143] arXiv:1410.0469 [pdf, other]

Title: A functional central limit theorem for branching random walks, almost sure weak convergence, and applications to random trees

Rudolf Grübel, Zakhar Kabluchko

Comments: 34 pages, no figures

Subjects: Probability (math.PR)

[144] arXiv:1410.0475 [pdf, other]

Title: The Curvature of the Determinant Line Bundle on the Noncommutative Two Torus

Ali Fathi, Asghar Ghorbanpour, Masoud Khalkhali

Comments: 18 pages

Journal-ref: Math Phys Anal Geom (2017) 20: 4

Subjects: Quantum Algebra (math.QA); Differential Geometry (math.DG); Operator Algebras (math.OA); Spectral Theory (math.SP)

[145] arXiv:1410.0483 [pdf, other]

Title: Tensor products and regularity properties of Cuntz semigroups

Ramon Antoine, Francesc Perera, Hannes Thiel

Comments: 195 pages; revised version; several proofs streamlined; some results corrected, in particular added 5.2.3-5.2.6

Journal-ref: Mem. Amer. Math. Soc. 251 (2018), no. 1199; viii+19 pages

Subjects: Operator Algebras (math.OA); Category Theory (math.CT); Rings and Algebras (math.RA)

[146] arXiv:1410.0486 [pdf, other]

Title: Higher-order time discretizations with ALE finite elements for parabolic problems on evolving surfaces

Balázs Kovács, Christian Andreas Power Guerra

Subjects: Numerical Analysis (math.NA)

[147] arXiv:1410.0490 [pdf, other]

Title: Homogenization of functional with linear growth in the context of $\mathcal{A}$-quasiconvexity

José Matias, Marco Morandotti, Pedro M. Santos

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[148] arXiv:1410.0498 [pdf, other]

Title: Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations

Charlotte Perrin, Ewelina Zatorska

Subjects: Analysis of PDEs (math.AP)

[149] arXiv:1410.0499 [pdf, other]

Title: Reflecting random flights

Alessandro De Gregorio, Enzo Orsingher

Comments: 21 pages, 3 figures

Subjects: Probability (math.PR)

[150] arXiv:1410.0500 [pdf, other]

Title: Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model

Luisa Andreis, David Barbato, Francesca Collet, Marco Formentin, Luigi Provenzano

Comments: 13 pages

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)