Mathematics

Authors and titles for July 2014

[1001] arXiv:1407.3508 [pdf, other]

Title: Relative free splitting and free factor complexes I: Hyperbolicity

Michael Handel, Lee Mosher

Comments: 81 pages. Added references and acknowledgements

Subjects: Group Theory (math.GR)

[1002] arXiv:1407.3515 [pdf, other]

Title: Automorphic forms for triangle groups: Integrality properties

Hossein Movasati, Khosro M. Shokri

Comments: To appear in Journal of Number Theory

Subjects: Number Theory (math.NT); Complex Variables (math.CV)

[1003] arXiv:1407.3516 [pdf, other]

Title: Chebyshev Polynomials and Statistics on a New Collection of Words in the Catalan Family

Toufik Mansour, Mark Shattuck

Subjects: Combinatorics (math.CO)

[1004] arXiv:1407.3522 [pdf, other]

Title: Asymptotic Couplings by Reflection and Applications for Non-Linear Monotone SPDES

Feng-Yu Wang

Comments: 29 pages

Subjects: Probability (math.PR)

[1005] arXiv:1407.3523 [pdf, other]

Title: Further clarifications of "Necessary and sufficient stability condition of fractional-order interval linear systems"

Hyo-Sung Ahn, Young-Hun Lim, Kwang-Kyo Oh, YangQuan Chen

Subjects: Optimization and Control (math.OC)

[1006] arXiv:1407.3526 [pdf, other]

Title: The Morse-Bott-Kirwan condition is local

Tara Holm, Yael Karshon

Comments: 25 pages, one figure. v2: corrected some proofs

Journal-ref: Research in the Mathematical Sciences 3 (2016) 3:25

Subjects: Symplectic Geometry (math.SG)

[1007] arXiv:1407.3527 [pdf, other]

Title: On the classical solutions of the three dimensional Stefan problem

Jun-ichi Koga

Comments: 10 pages, 0 figures

Subjects: Analysis of PDEs (math.AP)

[1008] arXiv:1407.3529 [pdf, other]

Title: Harmonic spinors on axisymmetric 3-manifolds with Melvin ends

A.K.M. Masood-ul-Alam, Qizhi Wang

Comments: 12 pages. Some details added

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

[1009] arXiv:1407.3530 [pdf, other]

Title: The Moduli of Klein Covers of Curves

Charles Siegel

Comments: 18 pages

Subjects: Algebraic Geometry (math.AG)

[1010] arXiv:1407.3531 [pdf, other]

Title: Realizing degree sequences as $Z_3$-connected graphs

Fan Yang, Xiangwen Li, Hong -Jian Lai

Subjects: Combinatorics (math.CO)

[1011] arXiv:1407.3533 [pdf, other]

Title: Generalising Tuenter's binomial sums

Richard P. Brent

Comments: 17 pages, 2 appendices, corrected typos in v2, added OEIS references in v3, corrected abstract in v4

Journal-ref: Journal of Integer Sequences 18 (2015), Article 15.3.2

Subjects: Combinatorics (math.CO)

[1012] arXiv:1407.3538 [pdf, other]

Title: On Uplink-Downlink Duality for Cellular IA

Vasilis Ntranos, Mohammad Ali Maddah-Ali, Giuseppe Caire

Subjects: Information Theory (cs.IT)

[1013] arXiv:1407.3550 [pdf, other]

Title: Dedekind $\eta$-function, Hauptmodul and invariant theory

Lei Yang

Comments: 46 pages. arXiv admin note: substantial text overlap with arXiv:1209.1783

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

[1014] arXiv:1407.3551 [pdf, other]

Title: Spectral flow inside essential spectrum

Nurulla Azamov

Comments: 132 pages; typos fixed, introduction and the last section are extended

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[1015] arXiv:1407.3553 [pdf, other]

Title: A general approach to small deviation via concentration of measures

Ehsan Azmoodeh, Lauri Viitasaari

Subjects: Probability (math.PR)

[1016] arXiv:1407.3554 [pdf, other]

Title: A lower bound on tunnel number degeneration

Trent Schirmer

Comments: 22 pages, 6 figures

Journal-ref: Algebr. Geom. Topol. 16 (2016) 1279-1308

Subjects: Geometric Topology (math.GT)

[1017] arXiv:1407.3555 [pdf, other]

Title: Bounded monochromatic components for random graphs

Nicolas Broutin, Ross J. Kang

Comments: 23 pages, 1 figure; v2 accepted to Journal of Combinatorics

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

[1018] arXiv:1407.3556 [pdf, other]

Title: Optimal Spectrum Management in Two-User Interference Channels

Navid Hamedazimi, Himanshu Gupta

Subjects: Information Theory (cs.IT)

[1019] arXiv:1407.3558 [pdf, other]

Title: Strong approximation for certain quadric fibrations with compact fibers

Fei Xu

Subjects: Number Theory (math.NT)

[1020] arXiv:1407.3562 [pdf, other]

Title: Un th\'eor\`eme du support pour la fibration de Hitchin

Pierre-Henri Chaudouard, Gérard Laumon

Comments: 16 pages, in French

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

[1021] arXiv:1407.3566 [pdf, other]

Title: Performance Comparison between Network Coding in Space and Routing in Space

Yuanqing Ye, Xin Huang, Ting Wen, Jiaqing Huang, Alfred Uwitonze

Subjects: Information Theory (cs.IT)

[1022] arXiv:1407.3572 [pdf, other]

Title: Moderate solutions of semilinear elliptic equations with Hardy potential

Moshe Marcus, Phuoc-Tai Nguyen

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[1023] arXiv:1407.3573 [pdf, other]

Title: Spherical averages of Siegel transforms for higher rank diagonal actions and applications

Jayadev S. Athreya, Anish Ghosh, Jimmy Tseng

Comments: New title. Added comments concerning number fields (see Section 5)

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

[1024] arXiv:1407.3578 [pdf, other]

Title: Hankel determinants of the Cantor sequence

Zhi-xiong Wen, Wen Wu

Comments: 20 pages, 1 figure

Journal-ref: Sci Sin Math, 2014, 44: 1059-1072

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[1025] arXiv:1407.3580 [pdf, other]

Title: Mixing Time and Cutoff for a Random Walk on the Ring of Integers mod $n$

Michael E. Bate, Stephen B. Connor

Comments: 15 pages; accepted for publication in Bernoulli Journal

Subjects: Probability (math.PR)

[1026] arXiv:1407.3581 [pdf, other]

Title: An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator

Natalia Bondarenko

Comments: arXiv admin note: text overlap with arXiv:1008.4339

Subjects: Spectral Theory (math.SP)

[1027] arXiv:1407.3582 [pdf, other]

Title: Even dimensional homogeneous Finsler spaces with positive flag curvature

Ming Xu, Shaoqiang Deng, Libing Huang, Zhiguang Hu

Comments: The title is changed from 'Homogeneous Finsler spaces with positive flag curvature' to 'Even dimensional homogeneous Finsler spaces with positive flag curvature'. Add a flag curvature formula for homogeneous Finsler spaces and correct some typos

Subjects: Differential Geometry (math.DG)

[1028] arXiv:1407.3589 [pdf, other]

Title: Bad reduction of genus $3$ curves with complex multiplication

Irene Bouw, Jenny Cooley, Kristin Lauter, Elisa Lorenzo Garcia, Michelle Manes, Rachel Newton, Ekin Ozman

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

[1029] arXiv:1407.3592 [pdf, other]

Title: Interaction versus entropic repulsion for low temperature Ising polymers

Dmitry Ioffe, Senya Shlosman, Fabio Lucio Toninelli

Subjects: Probability (math.PR); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)

[1030] arXiv:1407.3594 [pdf, other]

Title: Classification of third-order symmetric Lorentzian manifolds

Anton S. Galaev

Comments: 11 pages. arXiv admin note: text overlap with arXiv:1011.3439

Journal-ref: Classical Quantum Gravity 32 (2015), no. 2, 025001, 15 pp

Subjects: Differential Geometry (math.DG)

[1031] arXiv:1407.3597 [pdf, other]

Title: On the Differential Equation $\frac{d}{dt}\left(\frac{\cos x}{1-\dot{x}}\right)\,=\,-\sin x$

P.S.Datti, B.R.Nagaraj

Subjects: Classical Analysis and ODEs (math.CA)

[1032] arXiv:1407.3601 [pdf, other]

Title: Elliptic Quantum Group U_{q,p}(B_N^{(1)}) and Vertex Operators

Hitoshi Konno, Kazuyuki Oshima

Comments: 53 pages

Subjects: Quantum Algebra (math.QA)

[1033] arXiv:1407.3602 [pdf, other]

Title: Regularity of the extremal solution for singular p-Laplace equations

Daniele Castorina

Journal-ref: Manuscripta Mathematica, Vol. 146 (2015), pag. 519-529

Subjects: Analysis of PDEs (math.AP)

[1034] arXiv:1407.3604 [pdf, other]

Title: Davies-trees in infinite combinatorics

Daniel T. Soukup

Comments: 8 pages, prepared for the Logic Colloquium 2014

Subjects: Logic (math.LO); Combinatorics (math.CO)

[1035] arXiv:1407.3608 [pdf, other]

Title: The horoboundary of outer space, and growth under random automorphisms

Camille Horbez

Comments: 48 pages, 5 figures

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

[1036] arXiv:1407.3613 [pdf, other]

Title: ApSimon's Mint Problem with Three or More Weighings

Richard J. Mathar

Comments: 7 pages. LaTeX with amsart

Subjects: Combinatorics (math.CO)

[1037] arXiv:1407.3616 [pdf, other]

Title: The role of residue and quotient tables in the theory of k-Schur functions

Matjaz Konvalinka

Subjects: Combinatorics (math.CO)

[1038] arXiv:1407.3620 [pdf, other]

Title: Extremal measures with prescribed moments

Teresa Rajba, Szymon Wasowicz

Journal-ref: J. Math. Anal. Appl. 423~(2015), 1838-1848

Subjects: Classical Analysis and ODEs (math.CA); Numerical Analysis (math.NA); Probability (math.PR)

[1039] arXiv:1407.3624 [pdf, other]

Title: The Lost Melody Phenomenon

Merlin Carl

Subjects: Logic (math.LO)

[1040] arXiv:1407.3625 [pdf, other]

Title: A Darling-Erd\H{o}s-type CUSUM-procedure for functional data II

Leonid Torgovitski

Comments: Correction of Theorem 4.1. Additional results on change-point estimation in Theorem 3.8 and in Remark 3.9. (35 pages, 3 figures)

Subjects: Statistics Theory (math.ST)

[1041] arXiv:1407.3629 [pdf, other]

Title: Oscillating facets

Milena Matusik, Piotr Rybka

Comments: 34 pages

Subjects: Analysis of PDEs (math.AP)

[1042] arXiv:1407.3630 [pdf, other]

Title: Some highlights of Harald Niederreiter's work

Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing

Subjects: History and Overview (math.HO)

[1043] arXiv:1407.3631 [pdf, other]

Title: Group Testing with Pools of Fixed Size

David Cariolaro, Zhaiming Shen, Yi Zhang

Subjects: Combinatorics (math.CO); Data Structures and Algorithms (cs.DS)

[1044] arXiv:1407.3637 [pdf, other]

Title: Local well-posedness of Prandtl equations for compressible flow in two space variables

Ya-Guang Wang, Feng Xie, Tong Yang

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[1045] arXiv:1407.3639 [pdf, other]

Title: Sampling Parts of Random Integer Partitions: A Probabilistic and Asymptotic Analysis

Ljuben Mutafchiev

Comments: 19 pages. arXiv admin note: substantial text overlap with arXiv:1306.6155

Subjects: Probability (math.PR)

[1046] arXiv:1407.3640 [pdf, other]

Title: On effective equidistribution for higher step nilflows

Livio Flaminio, Giovanni Forni

Comments: 59 pages

Subjects: Dynamical Systems (math.DS)

[1047] arXiv:1407.3642 [pdf, other]

Title: A note on random samples of Lie algebras

Georg Beyerle

Comments: 8 pages, no figures

Subjects: Representation Theory (math.RT)

[1048] arXiv:1407.3645 [pdf, other]

Title: Permutation Invariant Functionals of L\'evy Processes

F. Baumgartner, S. Geiss

Subjects: Probability (math.PR)

[1049] arXiv:1407.3647 [pdf, other]

Title: A New Criterion on Normal Bases of Finite Field Extensions

Aixian Zhang, Keqin Feng

Subjects: Number Theory (math.NT); Information Theory (cs.IT)

[1050] arXiv:1407.3654 [pdf, other]

Title: Quasi-normal modes for de Sitter-Reissner-Nordstr\"om Black Holes

Alexei Iantchenko

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Spectral Theory (math.SP)