Mathematics

Authors and titles for August 2014

[101] arXiv:1408.0334 [pdf, other]

Title: Complex Two-Graphs via Equiangular Tight Frames

Thomas Hoffman, James Solazzo

Comments: The current definition on page 11 of mth root two graphs is wrong. We can quickly fix it for prime roots of unity, but the more general case does not work. We are not sure at the moment how many of the following results might be impacted and we don't want this work to be misleading to others

Subjects: Combinatorics (math.CO)

[102] arXiv:1408.0338 [pdf, other]

Title: Levy's distributional property for symmetric Levy processes

Hengyu Zhou

Comments: This paper has been withdrawn by the author due to a crucial sign error in equation

Subjects: Probability (math.PR)

[103] arXiv:1408.0339 [pdf, other]

Title: Beamforming for Secure Communication via Untrusted Relay Nodes Using Artificial Noise

Siddhartha Sarma

Subjects: Information Theory (cs.IT)

[104] arXiv:1408.0347 [pdf, other]

Title: An invariant region for the collisional dynamics of two bodies on Keplerian orbits

Dario Benedetto, Flavia Lenti

Subjects: Dynamical Systems (math.DS)

[105] arXiv:1408.0348 [pdf, other]

Title: Fibered commensurability and arithmeticity of random mapping tori

Hidetoshi Masai

Comments: Earlier versions contain a gap in Section 4 (Lemma 4.8 of v1 and v2 is false). 25 pages (10 pages longer)

Subjects: Geometric Topology (math.GT); Group Theory (math.GR); Probability (math.PR)

[106] arXiv:1408.0350 [pdf, other]

Title: Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups

Cai Heng Li, Binzhou Xia

Subjects: Group Theory (math.GR)

[107] arXiv:1408.0356 [pdf, other]

Title: Special elements of the lattice of epigroup varieties

V.Yu. Shaprynskii, D.V. Skokov, B.M. Vernikov

Comments: In comparison with the previous version, we slightly optimize the proof of Theorem 1.1, eliminate a few typos and add Question 11.4

Subjects: Group Theory (math.GR)

[108] arXiv:1408.0361 [pdf, other]

Title: Non-parametric Stochastic Approximation with Large Step sizes

Aymeric Dieuleveut, Francis Bach

Subjects: Statistics Theory (math.ST)

[109] arXiv:1408.0370 [pdf, other]

Title: Spectral Approximation for Quasiperiodic Jacobi Operators

Charles Puelz, Mark Embree, Jake Fillman

Subjects: Spectral Theory (math.SP); Numerical Analysis (math.NA)

[110] arXiv:1408.0371 [pdf, other]

Title: A graph partition problem

Peter J. Cameron, Sebastian M. Cioabă

Subjects: Combinatorics (math.CO)

[111] arXiv:1408.0372 [pdf, other]

Title: Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds

Michał Marcinkowski

Comments: 13 pages; a new proof of Lemma 7; there was a mistake in 4.1, the whole subsection was removed

Journal-ref: Journal of Topology., 9 (2016), no. 1, 105-116

Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT); Differential Geometry (math.DG); Group Theory (math.GR)

[112] arXiv:1408.0374 [pdf, other]

Title: Orbital counting of curves on algebraic surfaces and sphere packings

Igor Dolgachev

Comments: 42 pages, 5 figures. New references have been added that allowed the author to strengthen some of the main results of the paper. Also some minor corrections have been made

Subjects: Algebraic Geometry (math.AG); Dynamical Systems (math.DS)

[113] arXiv:1408.0375 [pdf, other]

Title: Configuration spaces of complex and real spheres

Igor Dolgachev, Benjamin Howard

Comments: 19 pages

Subjects: Algebraic Geometry (math.AG)

[114] arXiv:1408.0377 [pdf, other]

Title: Layered, Exact-Repair Regenerating Codes Via Embedded Error Correction and Block Designs

Chao Tian, Birenjith Sasidharan, Vaneet Aggarwal, Vinay A. Vaishampayan, P. Vijay Kumar

Comments: This is a combination of the following two papers with additional results (new asymptotic analysis, a better alphabet size bound and smaller repetition factors): arXiv:1302.4670 "Exact-Repair Regenerating Codes Via Layered Erasure Correction and Block Designs" by Tian, Aggarwal, and Vaishampayan, and arXiv:1301.6157 "High-Rate Regenerating Codes Through Layering" by Sasidharan and Kumar

Journal-ref: IEEE Transactions on Information Theory, vol. 61, no. 4, pp. 1933-1947 (2015)

Subjects: Information Theory (cs.IT)

[115] arXiv:1408.0378 [pdf, other]

Title: Cataloguing PL 4-manifolds by gem-complexity

M.R. Casali, P. Cristofori

Comments: 25 pages, 5 figures. Improvements suggested by the referee

Journal-ref: Electron. J. Combin., 22(4) #P4.25, 1--25, 2015

Subjects: Geometric Topology (math.GT)

[116] arXiv:1408.0381 [pdf, other]

Title: Uniqueness sets for Fourier series

Ashot Vagharshakyan

Subjects: Functional Analysis (math.FA)

[117] arXiv:1408.0382 [pdf, other]

Title: Non Controllability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation

Igor Romanov, Alexey Shamaev

Comments: 9 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[118] arXiv:1408.0385 [pdf, other]

Title: Entropy conditions in two weight inequalities for singular integral operators

Sergei Treil, Alexander Volberg

Comments: 37 pp

Subjects: Classical Analysis and ODEs (math.CA)

[119] arXiv:1408.0389 [pdf, other]

Title: Bifix codes and interval exchanges

Valérie Berthé, Clelia De Felice, Francesco Dolce, Julien Leroy, Dominique Perrin, Christophe Reutenauer, Giuseppina Rindone

Comments: arXiv admin note: substantial text overlap with arXiv:1305.0127, arXiv:1308.5396

Journal-ref: J. Pure Appl. Algebra, 19 (2015) 2781-2798

Subjects: Combinatorics (math.CO)

[120] arXiv:1408.0392 [pdf, other]

Title: Universal spaces for unramified Galois cohomology

Fedor Bogomolov, Yuri Tschinkel

Comments: 34 pages

Subjects: Algebraic Geometry (math.AG)

[121] arXiv:1408.0402 [pdf, other]

Title: On the saturation number for cubic surfaces

Yuchao Wang

Comments: 20 pages, substantial overlaps with arXiv:1406.6963

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[122] arXiv:1408.0408 [pdf, other]

Title: Enomoto and Ota's conjecture holds for large graphs

Vincent Coll, Alexander Halperin, Colton Magnant, Pouria Salehi Nowbandegani

Subjects: Combinatorics (math.CO)

[123] arXiv:1408.0412 [pdf, other]

Title: Asymptotic Properties of the Empirical Spatial Extremogram

Yongbum Cho, Richard A. Davis, Souvik Ghosh

Comments: 30 pages, 6 fugures

Subjects: Statistics Theory (math.ST)

[124] arXiv:1408.0413 [pdf, other]

Title: Smooth models of motivic spheres

Aravind Asok, Brent Doran, Jean Fasel

Comments: 26 pages, updated version containing an algebro-geometric version of the clutching construction; comments still welcome!

Subjects: K-Theory and Homology (math.KT); Algebraic Geometry (math.AG); Algebraic Topology (math.AT)

[125] arXiv:1408.0417 [pdf, other]

Title: Lozenge tilings with free boundaries

Greta Panova

Comments: 27 pages, 4 figures; version 2-- typos fixed, improved proofs and computations, incorporated referee's comments. To appear in Letters in Mathematical Physics

Subjects: Probability (math.PR); Combinatorics (math.CO)

[126] arXiv:1408.0418 [pdf, other]

Title: McCool groups of toral relatively hyperbolic groups

Vincent Guirardel, Gilbert Levitt

Journal-ref: Algebr. Geom. Topol. 15 (2015) 3485-3534

Subjects: Group Theory (math.GR)

[127] arXiv:1408.0419 [pdf, other]

Title: Matroid toric ideals: complete intersection, minors and minimal systems of generators

Ignacio García-Marco, Jorge Luis Ramírez Alfonsín

Comments: 9 pages

Journal-ref: SIAM J. Discrete Math. 29 (2015), no. 4, 2267-2276

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[128] arXiv:1408.0420 [pdf, other]

Title: Primes in the intervals between primes squared

Kolbjørn Tunstrøm

Comments: Minor revisions in preparation for submission

Subjects: Number Theory (math.NT)

[129] arXiv:1408.0422 [pdf, other]

Title: Existence and Uniqueness of Global Solutions to Fully Nonlinear First Order Elliptic Systems

Nikos Katzourakis (U. of Reading)

Comments: Journal: Nonlinear Analysis, revised, 15 pages

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Functional Analysis (math.FA)

[130] arXiv:1408.0423 [pdf, other]

Title: Stability in Conductivity Imaging from Partial Measurements of One Interior Current

Carlos Montalto, Alexandru Tamasan

Subjects: Mathematical Physics (math-ph)

[131] arXiv:1408.0424 [pdf, other]

Title: Equivariant minimax dominators of the MLE in the array normal model

David Gerard, Peter Hoff

Journal-ref: Journal of Multivariate Analysis 137 (2015) 32--49

Subjects: Statistics Theory (math.ST)

[132] arXiv:1408.0428 [pdf, other]

Title: Another Diminimal Map on the Torus

Thom Sulanke

Comments: 6 pages, 4 figure

Subjects: Combinatorics (math.CO)

[133] arXiv:1408.0429 [pdf, other]

Title: The distribution of $k$-free numbers and the derivative of the Riemann zeta-function

Xianchang Meng

Comments: 26 pages, shorter proof of some Theorems

Subjects: Number Theory (math.NT)

[134] arXiv:1408.0435 [pdf, other]

Title: On the joint normality of certain digit expansions

Joseph Vandehey

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

[135] arXiv:1408.0444 [pdf, other]

Title: Quantum dilogarithms and partition q-series

Akishi Kato, Yuji Terashima

Comments: 24 pages, published version

Journal-ref: Communications in Mathematical Physics 2015, Volume 338, Issue 1, pp 457-481

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Combinatorics (math.CO); Quantum Algebra (math.QA)

[136] arXiv:1408.0447 [pdf, other]

Title: Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions

Hiroyuki Takamura, Mohammad Rammaha, Hiroshi Uesaka, Kyouhei Wakasa

Comments: 16pages

Journal-ref: Differential and integral equations, 29 (1-2) (2016), 1-18

Subjects: Analysis of PDEs (math.AP)

[137] arXiv:1408.0448 [pdf, other]

Title: Holomorphic Poisson Cohomology

Zhuo Chen, Daniele Grandini, Yat-Sun Poon

Subjects: Differential Geometry (math.DG); Symplectic Geometry (math.SG)

[138] arXiv:1408.0451 [pdf, other]

Title: Generalized trapezoidal words

Amy Glen, Florence Levé

Comments: Major revision

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)

[139] arXiv:1408.0455 [pdf, other]

Title: Quantized CSI-Based Tomlinson-Harashima Precoding in Multiuser MIMO Systems

Liang Sun, Ming Lei

Comments: 22 pages, 4 figures, IEEE Transactions on Wireless Communications, Vol. 12, No. 3, March 2013

Subjects: Information Theory (cs.IT)

[140] arXiv:1408.0461 [pdf, other]

Title: The standard sign conjecture on algebraic cycles: the case of Shimura varieties

Sophie Morel, Junecue Suh

Comments: Added some references to recent work

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[141] arXiv:1408.0469 [pdf, other]

Title: Tomlinson-Harashima Precoding for Multiuser MIMO Systems with Quantized CSI Feedback and User Scheduling

Liang Sun, Matthew R. McKay

Comments: 13 pages, 4 figures, IEEE Trans. Signal Process., Aug. 2014

Subjects: Information Theory (cs.IT)

[142] arXiv:1408.0470 [pdf, other]

Title: On boundary behavior of spatial mappings

Denis Kovtonyuk, Vladimir Ryazanov

Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:1401.4839, arXiv:1012.5010

Subjects: Complex Variables (math.CV)

[143] arXiv:1408.0475 [pdf, other]

Title: Fixed speed competition on the configuration model with infinite variance degrees: unequal speeds

Enrico Baroni, Remco van der Hofstad, Julia Komjathy

Comments: 44 pages, 9 pictures

Journal-ref: Electronic Journal of Probability, Volume 20 (2015), 48 pp

Subjects: Probability (math.PR); Combinatorics (math.CO)

[144] arXiv:1408.0477 [pdf, other]

Title: On the asymptotic normality of the Legendre-Stirling numbers of the second kind

Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel

Subjects: Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)

[145] arXiv:1408.0478 [pdf, other]

Title: Bases of random unconditional convergence in Banach spaces

J. Lopez-Abad, P. Tradacete

Subjects: Functional Analysis (math.FA)

[146] arXiv:1408.0483 [pdf, other]

Title: Iterated torus knots and double affine Hecke algebras

Peter Samuelson

Comments: 28 pages. v2: Corrected sign in Corollary 2.12 (and other signs). v3: improved exposition of cabling formula, added appendix, submitted. v4: edits based on referee remarks, changed title. Final version

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[147] arXiv:1408.0486 [pdf, other]

Title: Limits for circular Jacobi beta-ensembles

Dang-Zheng Liu

Comments: 26 pages

Subjects: Probability (math.PR)

[148] arXiv:1408.0489 [pdf, other]

Title: Derivation of the Stochastic Burgers equation from the WASEP

Patrícia Gonçalves

Comments: 19 pages, 1 figure

Subjects: Probability (math.PR)

[149] arXiv:1408.0494 [pdf, other]

Title: A note on the existence of traveling-wave solutions to a Boussinesq system

Filipe Oliveira

Subjects: Analysis of PDEs (math.AP)

[150] arXiv:1408.0498 [pdf, other]

Title: Adaptive trains for attracting sequences of holomorphic automorphisms

Han Peters, Iris Marjan Smit

Comments: 34 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1311.3835

Subjects: Complex Variables (math.CV)