Mathematics

Authors and titles for January 2014

[1201] arXiv:1401.4049 [pdf, other]

Title: On some strengthening of the global implicit function theorem with an application to a Cauchy problem for an integro-differential Volterra system

Dariusz Idczak

Subjects: Classical Analysis and ODEs (math.CA)

[1202] arXiv:1401.4053 [pdf, other]

Title: Evaluation of an ensemble-based incremental variational data assimilation

Yin Yang, Cordelia Robinson, Dominique Heitz, Etienne Mémin

Subjects: Mathematical Physics (math-ph)

[1203] arXiv:1401.4066 [pdf, other]

Title: Spectral enclosure and superconvergence for eigenvalues in gaps

James Hinchcliffe, Michael Strauss

Subjects: Spectral Theory (math.SP)

[1204] arXiv:1401.4068 [pdf, other]

Title: Efficient transfer entropy analysis of non-stationary neural time series

Patricia Wollstadt, Mario Martínez-Zarzuela, Raul Vicente, Francisco J. Díaz-Pernas, Michael Wibral

Comments: 27 pages, 7 figures, submitted to PLOS ONE

Journal-ref: PLoS ONE 10(10): e0140530 (2014)

Subjects: Information Theory (cs.IT); Neurons and Cognition (q-bio.NC)

[1205] arXiv:1401.4071 [pdf, other]

Title: Families of rational curves on holomorphic symplectic varieties and applications to 0-cycles

François Charles, Gianluca Pacienza

Comments: The results are corrected and completed in arXiv:1907.10970, which replaces the paper

Subjects: Algebraic Geometry (math.AG)

[1206] arXiv:1401.4073 [pdf, other]

Title: Floer cohomology of the Chiang Lagrangian

Jonathan David Evans, Yanki Lekili

Comments: 40 pages, 13 figures; v2 added computation of module structure and strong generation result, v3 incorporated referee's comments to agree with accepted version. To appear in Selecta Mathematica

Subjects: Symplectic Geometry (math.SG); Geometric Topology (math.GT)

[1207] arXiv:1401.4080 [pdf, other]

Title: Noncommutative Topological Quantum Field Theory, Noncommutative Floer Homology, Noncommutative Hodge Theory

Ioannis P. Zois

Comments: 31 pages. Extended version of two talks presented during the International Conference on Mathematical Modeling in Physical Sciences, 1-5 September 2013, Prague, Czech Republic

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[1208] arXiv:1401.4081 [pdf, other]

Title: Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics

Luca Rondi, Mourad Sini

Comments: 49 pages

Journal-ref: Archive for Rational Mechanics and Analysis 218 (1) (2015) 1-54

Subjects: Analysis of PDEs (math.AP)

[1209] arXiv:1401.4083 [pdf, other]

Title: Large Dimensional Analysis and Optimization of Robust Shrinkage Covariance Matrix Estimators

Romain Couillet, Matthew R. McKay

Comments: Journal of Multivariate Analysis

Subjects: Probability (math.PR)

[1210] arXiv:1401.4084 [pdf, other]

Title: The strong profinite genus of a finitely presented group can be infinite

Martin R. Bridson

Comments: 10 pages, no figures. Final version to appear in Journal of the European Math. Soc

Subjects: Group Theory (math.GR)

[1211] arXiv:1401.4086 [pdf, other]

Title: Quatre applications du lemme de Zalcman \`a la dynamique complexe

Tomoki Kawahira

Comments: 26 pages, 2 figures, to appear in J. Anal. Math

Journal-ref: Journal d'Analyse Math\'ematique, 124(2014), Issue 1, pp 309-336

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[1212] arXiv:1401.4095 [pdf, other]

Title: A direct proof that $\ell_\infty^{(3)}$ has generalized roundness zero

Ian Doust, Stephen Sánchez, Anthony Weston

Comments: The first version of this paper had the title "The generalized roundness of $\ell_\infty^{(3)}$ revisited". This version includes some minor modifications of the text and corrections to several typographic errors

Journal-ref: Expo. Math., 33 (2015), 259-267

Subjects: Functional Analysis (math.FA)

[1213] arXiv:1401.4096 [pdf, other]

Title: Rational homotopy theory of automorphisms of manifolds

Alexander Berglund, Ib Madsen

Comments: 83 pages. Revision of v2 prompted by referee comments. Final version, to appear in Acta Mathematica

Subjects: Algebraic Topology (math.AT)

[1214] arXiv:1401.4109 [pdf, other]

Title: On the role of Gittins index in singular stochastic control: semi-explicit solutions via the Wiener-Hopf factorisation

J. Sexton

Subjects: Optimization and Control (math.OC)

[1215] arXiv:1401.4125 [pdf, other]

Title: FullSWOF: A free software package for the simulation of shallow water flows

Olivier Delestre (JAD), Frédéric Darboux (USS), Francois James (MAPMO), Carine Lucas (MAPMO), Christian Laguerre (MAPMO), Stephane Cordier (MAPMO)

Comments: 38 pages

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[1216] arXiv:1401.4136 [pdf, other]

Title: A New Proof of Fitzgerald's Characterization of Primitive Polynomials

Samrith Ram

Journal-ref: Finite Fields Appl. 31(0): 8-11, 2015

Subjects: Number Theory (math.NT)

[1217] arXiv:1401.4146 [pdf, other]

Title: Independence of the metric in the fine $C^0$-topology of a function space

Francisco J. González Acuña

Comments: This is a translation of the paper "{\em Independencia de la métrica en la $C^0$ topología fina de un espacio de funciones}". Vol.\ 3 (1963) pp.\ 29-35.\ Anales del Instituto de Matemáticas (Universidad Nacional Autónoma México). I thank Francisco Marmolejo for writing this translation. 5 pages

Subjects: General Topology (math.GN)

[1218] arXiv:1401.4147 [pdf, other]

Title: Simple Semi-Distributed Lifetime Maximizing Strategy via Power Allocation in Collaborative Beamforming for Wireless Sensor Networks

Mohammed F. A. Ahmed, Sergiy A. Vorobyov

Comments: 27 pages, 11 figures, Finished in March 2011, Unpublished

Subjects: Information Theory (cs.IT); Networking and Internet Architecture (cs.NI)

[1219] arXiv:1401.4148 [pdf, other]

Title: Ergodic Theory and Diophantine approximation for translation surfaces and linear forms

Jayadev Athreya, Andrew Parrish, Jimmy Tseng

Comments: Minor changes to the presentation; results, proofs unchanged

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

[1220] arXiv:1401.4149 [pdf, other]

Title: Existence and Spectral Theory for Weak Solutions of Neumann and Dirichlet Problems for Linear Degenerate Elliptic Operators with Rough Coefficients

Dario D. Monticelli, Scott Rodney

Subjects: Analysis of PDEs (math.AP)

[1221] arXiv:1401.4154 [pdf, other]

Title: Curvature Decay Estimates of Graphical Mean Curvature Flow in Higher Codimensions

Knut Smoczyk, Mao-Pei Tsui, Mu-Tao Wang

Comments: arXiv admin note: text overlap with arXiv:math/0302242

Subjects: Differential Geometry (math.DG)

[1222] arXiv:1401.4159 [pdf, other]

Title: Proof of the $1$-factorization and Hamilton Decomposition Conjectures

Béla Csaba, Daniela Kühn, Allan Lo, Deryk Osthus, Andrew Treglown

Comments: We originally split the proof into four papers [arXiv:1401.4159,arXiv:1401.4164, arXiv:1401.4178, arXiv:1401.4183]. The present paper now combines this series into a single publication, which will appear in the Memoirs of the AMS. 160 pages, 5 figures

Subjects: Combinatorics (math.CO)

[1223] arXiv:1401.4164 [pdf, other]

Title: Proof of the 1-factorization and Hamilton decomposition conjectures II: the bipartite case

Béla Csaba, Daniela Kühn, Allan Lo, Deryk Osthus, Andrew Treglown

Comments: We originally split the proof into four papers, of which this was the second paper. We have now combined this series into a single publication [arXiv:1401.4159v2], which will appear in the Memoirs of the AMS. 62 pages, 2 figures

Subjects: Combinatorics (math.CO)

[1224] arXiv:1401.4178 [pdf, other]

Title: Proof of the 1-factorization and Hamilton decomposition conjectures III: approximate decompositions

Béla Csaba, Daniela Kühn, Allan Lo, Deryk Osthus, Andrew Treglown

Comments: We originally split the proof into four papers, of which this was the third paper. We have now combined this series into a single publication [arXiv:1401.4159v2], which will appear in the Memoirs of the AMS. 29 pages, 2 figures

Subjects: Combinatorics (math.CO)

[1225] arXiv:1401.4179 [pdf, other]

Title: Geodesics on path spaces and double category

Saikat Chatterjee

Comments: 20 pages, Added a section explaining physical interpretation of the double category

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)

[1226] arXiv:1401.4183 [pdf, other]

Title: Proof of the 1-factorization and Hamilton decomposition conjectures IV: exceptional systems for the two cliques case

Daniela Kühn, Allan Lo, Deryk Osthus

Comments: We originally split the proof into four papers, of which this was the fourth paper. We have now combined this series into a single publication [arXiv:1401.4159v2], which will appear in the Memoirs of the AMS. 37 pages

Subjects: Combinatorics (math.CO)

[1227] arXiv:1401.4189 [pdf, other]

Title: Scalable Capacity Bounding Models for Wireless Networks

Jinfeng Du, Muriel Medard, Ming Xiao, Mikael Skoglund

Comments: Accepted for publication in IEEE Transactions on Information Theory

Subjects: Information Theory (cs.IT)

[1228] arXiv:1401.4197 [pdf, other]

Title: Factors of IID on Trees

Russell Lyons

Comments: 18 pages, 1 figure

Journal-ref: Combin. Probab. Comput. 26, no. 2 (2017), 285--300

Subjects: Dynamical Systems (math.DS); Combinatorics (math.CO); Probability (math.PR)

[1229] arXiv:1401.4202 [pdf, other]

Title: Gorensteinness, homological invariants and Gorenstein derived categories

Nan Gao

Comments: arXiv admin note: text overlap with arXiv:1104.4006 by other authors

Subjects: Representation Theory (math.RT)

[1230] arXiv:1401.4204 [pdf, other]

Title: On homotopy categories of Gorenstein modules: compact generation and dimensions

Nan Gao

Comments: arXiv admin note: text overlap with arXiv:0810.1401 by other authors

Subjects: Representation Theory (math.RT)

[1231] arXiv:1401.4206 [pdf, other]

Title: Speed of convergence for laws of rare events and escape rates

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd

Journal-ref: Stochastic Process. Appl., 125(4):1653--1687, 2015

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

[1232] arXiv:1401.4209 [pdf, other]

Title: The Robust Minimal Controllability Problem

Sergio Pequito, Guilherme Ramos, Soummya Kar, A. Pedro Aguiar, Jaime Ramos

Subjects: Optimization and Control (math.OC)

[1233] arXiv:1401.4220 [pdf, other]

Title: IMRO: a proximal quasi-Newton method for solving $l_1$-regularized least square problem

Sahar Karimi, Stephen Vavasis

Journal-ref: SIAM Journal on Optimization, volume 27(2), pages 583 to 615, 2017

Subjects: Optimization and Control (math.OC)

[1234] arXiv:1401.4224 [pdf, other]

Title: Green's ${\mathcal J}$-classes and Subduction Classes in Finite Transformation Semigroups

Attila Egri-Nagy, Chrystopher L. Nehaniv

Comments: 8 pages

Subjects: Group Theory (math.GR)

[1235] arXiv:1401.4226 [pdf, other]

Title: Some applications of eta-quotients

Ick Sun Eum, Ja Kyung Koo, Dong Hwa Shin

Subjects: Number Theory (math.NT)

[1236] arXiv:1401.4231 [pdf, other]

Title: Subprojective Banach spaces

Timur Oikhberg, Eugeniu Spinu

Subjects: Functional Analysis (math.FA)

[1237] arXiv:1401.4233 [pdf, other]

Title: An Explicit Result for Primes Between Cubes

Adrian Dudek

Comments: Feedback is especially welcome

Subjects: Number Theory (math.NT)

[1238] arXiv:1401.4236 [pdf, other]

Title: The Impact of Phase Fading on the Dirty Paper Channel

Stefano Rini, Shlomo Shamai (Shitz)

Subjects: Information Theory (cs.IT)

[1239] arXiv:1401.4237 [pdf, other]

Title: The Cognitive Compressive Sensing Problem

Saeed Bagheri, Anna Scaglione

Comments: 8 pages, 2 figures

Subjects: Information Theory (cs.IT); Optimization and Control (math.OC)

[1240] arXiv:1401.4238 [pdf, other]

Title: An explicit integration of a problem of motion of a generalized Kovalevskaya top

Mikhail P. Kharlamov, Alexander Y. Savushkin

Comments: LaTex, 3 pages. PII: S1064562405020365

Journal-ref: Doklady Mathematics, Vol. 71, No. 2, March-April 2005, pp. 298-299

Subjects: Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)

[1241] arXiv:1401.4244 [pdf, other]

Title: A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in $\mathbb R$

Joonhyung Kim, Sungwoon Kim

Subjects: Geometric Topology (math.GT)

[1242] arXiv:1401.4250 [pdf, other]

Title: Markov chains, $\mathscr R$-trivial monoids and representation theory

Arvind Ayyer, Anne Schilling, Benjamin Steinberg, Nicolas M. Thiery

Comments: Dedicated to Stuart Margolis on the occasion of his sixtieth birthday; 71 pages; final version to appear in IJAC

Journal-ref: International Journal of Algebra and Computation, Volume 25, Issue 01n02, 169 (2015)

Subjects: Combinatorics (math.CO); Group Theory (math.GR); Probability (math.PR); Rings and Algebras (math.RA)

[1243] arXiv:1401.4251 [pdf, other]

Title: Bitwise MAP Algorithm for Group Testing based on Holographic Transformation

Tadashi Wadayama, Taisuke Izumi

Comments: 6 pages, 5 figures

Subjects: Information Theory (cs.IT)

[1244] arXiv:1401.4255 [pdf, other]

Title: An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind

Feng Qi

Comments: 4 pages

Journal-ref: Journal of Analysis & Number Theory 3 (2015), no. 1, 27--30

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

[1245] arXiv:1401.4257 [pdf, other]

Title: Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers

Bai-Ni Guo, Feng Qi

Comments: 6 pages

Journal-ref: Feng Qi and Bai-Ni Guo, Analysis---International mathematical journal of analysis and its applications 34 (2014), no. 3, 311--317

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

[1246] arXiv:1401.4259 [pdf, other]

Title: A new Frobenius exact structure on the category of complexes

Yan-Fu Ben, Yan-Hong Bao, Xian-Neng Du

Comments: 15 pages

Journal-ref: Journal of Pure and Applied Algebra, 219 (2015), 2756-2770

Subjects: Category Theory (math.CT); Rings and Algebras (math.RA); Representation Theory (math.RT)

[1247] arXiv:1401.4264 [pdf, other]

Title: Hydrodynamic limit for interacting neurons

Anna De Masi, Antonio Galves, Eva Löcherbach, Errico Presutti

Subjects: Probability (math.PR)

[1248] arXiv:1401.4269 [pdf, other]

Title: SUPER: Sparse signals with Unknown Phases Efficiently Recovered

Sheng Cai, Mayank Bakshi, Sidharth Jaggi, Minghua Chen

Comments: 19 pages

Subjects: Information Theory (cs.IT)

[1249] arXiv:1401.4271 [pdf, other]

Title: R\'enyi entropies and nonlinear diffusion equations

Giuseppe Toscani

Subjects: Mathematical Physics (math-ph); Information Theory (cs.IT)

[1250] arXiv:1401.4274 [pdf, other]

Title: Visualizing automorphisms of graph algebras

James Emil Avery, Rune Johansen, Wojciech Szymanski

Comments: 30 pages, 8 figures

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS)