Mathematics

Authors and titles for August 2015

[2301] arXiv:1508.07606 [pdf, other]

Title: Helly's Theorem: New Variations and Applications

Nina Amenta, Jesús A. De Loera, Pablo Soberón

Comments: 40 pages, 1 figures

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

[2302] arXiv:1508.07607 [pdf, other]

Title: Efficient Numerical Methods to Solve Sparse Linear Equations with Application to PageRank

Anton Anikin, Alexander Gasnikov, Alexander Gornov, Dmitry Kamzolov, Yury Maximov, Yurii Nesterov

Comments: 26 pages; Accepted to Optimization Methods and Software

Subjects: Optimization and Control (math.OC)

[2303] arXiv:1508.07608 [pdf, other]

Title: Relative complements and a `switch'-classification of simple graphs

Elżbieta Błaszko, Małgorzata Prażmowska, Krzysztof Prażmowski

Subjects: Combinatorics (math.CO)

[2304] arXiv:1508.07611 [pdf, other]

Title: Local regularity for the modified SQG patch equation

Alexander Kiselev, Yao Yao, Andrej Zlatos

Comments: 62 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[2305] arXiv:1508.07613 [pdf, other]

Title: Finite time singularity formation for the modified SQG patch equation

Alexander Kiselev, Lenya Ryzhik, Yao Yao, Andrej Zlatos

Comments: 42 pages, 10 figures

Subjects: Analysis of PDEs (math.AP)

[2306] arXiv:1508.07615 [pdf, other]

Title: Positivity and Fourier integrals over regular hexagon

Yuan Xu

Subjects: Classical Analysis and ODEs (math.CA)

[2307] arXiv:1508.07617 [pdf, other]

Title: Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

Stephen Pankavich, Christian Parkinson

Comments: 21 pages

Journal-ref: Disc. Cont. Dyn. Sys. B 21: 1237-1257, 2016

Subjects: Analysis of PDEs (math.AP)

[2308] arXiv:1508.07618 [pdf, other]

Title: Thin Sequences

Pamela Gorkin, Brett. D. Wick

Comments: v1: 17 pages. v2: 17 pages; references added and typos corrected. Survey article drawing from 1410.0518, 1404.3088, and 1312.5759

Subjects: Complex Variables (math.CV)

[2309] arXiv:1508.07619 [pdf, other]

Title: Instability conditions for some periodic BGK waves in the Vlasov-Poisson system

Stephen Pankavich, Robert Allen

Comments: 8 pages; PACS codes this http URL, this http URL, 52.35.-g

Journal-ref: Eur. Phys. J. D (2014) 68: 363

Subjects: Analysis of PDEs (math.AP)

[2310] arXiv:1508.07623 [pdf, other]

Title: Porosity of the Free Boundary in the Singular p-Parabolic Obstacle Problem

Abdeslem Lyaghfouri

Subjects: Analysis of PDEs (math.AP)

[2311] arXiv:1508.07624 [pdf, other]

Title: Some finiteness results on monogenic orders in positive characteristic

Jason P. Bell, Khoa D. Nguyen

Comments: 27 pages, comments are welcome

Subjects: Number Theory (math.NT)

[2312] arXiv:1508.07625 [pdf, other]

Title: The normal bundle of a rational curve on a generic quintic threefold

B. Wang

Comments: arXiv admin note: substantial text overlap with arXiv:1202.2831

Subjects: Algebraic Geometry (math.AG)

[2313] arXiv:1508.07627 [pdf, other]

Title: On graphs uniquely defined by their $k$-circular matroids

José F. De Jesús, Alexander Kelmans

Comments: arXiv admin note: text overlap with arXiv:1508.05364

Subjects: Combinatorics (math.CO)

[2314] arXiv:1508.07632 [pdf, other]

Title: Grid-based electronic structure calculations: the tensor decomposition approach

Maxim Rakhuba, Ivan Oseledets

Comments: 15 pages, 3 figures

Subjects: Numerical Analysis (math.NA)

[2315] arXiv:1508.07633 [pdf, other]

Title: The number of distinct eigenvalues of a matrix after perturbation

Patrick E. Farrell

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[2316] arXiv:1508.07636 [pdf, other]

Title: A characterization of best unbiased estimators

Iosif Pinelis

Comments: 4 pages. Version 2: the paper is thoroughly reworked, even the title and the abstract have changed; the method remains the same. Version 3: a corollary, a proposition, and two examples (on Bernoulli and Beta-Bernoulli trials) are added; two typos are fixed

Subjects: Statistics Theory (math.ST)

[2317] arXiv:1508.07637 [pdf, other]

Title: Explicit Expressions for the Variance and Higher Moments of the Size of a Simultaneous Core Partition and its Limiting Distribution

Shalosh B. Ekhad, Doron Zeilberger

Comments: 13 pages; accompanied by a Maple package, stCore, and outputs files that may be gotten from <A HREF="this http URL html url</A>

Subjects: Combinatorics (math.CO)

[2318] arXiv:1508.07641 [pdf, other]

Title: Homogenization of nonstationary Schr\"odinger type equations with periodic coefficients

Tatiana Suslina

Comments: 78 pages

Subjects: Analysis of PDEs (math.AP)

[2319] arXiv:1508.07642 [pdf, other]

Title: A variational approach to some transport inequalities

Joaquin Fontbona, Nathael Gozlan, Jean-Francois Jabir

Subjects: Probability (math.PR)

[2320] arXiv:1508.07644 [pdf, other]

Title: Singular curves and their compactified Jacobians

Jesse Leo Kass

Journal-ref: In A celebration of algebraic geometry, volume 18 of Clay Math. Proc., pages 391-427. Amer. Math. Soc., Providence, RI, 2013

Subjects: Algebraic Geometry (math.AG)

[2321] arXiv:1508.07646 [pdf, other]

Title: On divisor-closed submonoids and minimal distances in finitely generated monoids

J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías

Subjects: Commutative Algebra (math.AC)

[2322] arXiv:1508.07649 [pdf, other]

Title: Constrained and Preconditioned Stochastic Gradient Method

Hong Jiang, Gang Huang, Paul Wilford, Liangkai Yu

Comments: 14 pages, 8 figures

Journal-ref: IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 63, NO. 10, MAY 15, 2015

Subjects: Numerical Analysis (math.NA)

[2323] arXiv:1508.07650 [pdf, other]

Title: Abelian Gauge Theory, Knots and Odd Khovanov Homology

Aliakbar Daemi

Comments: 78 pages

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)

[2324] arXiv:1508.07652 [pdf, other]

Title: A convexity of functions on convex metric spaces of Takahashi and applications

Ahmed A. Abdelhakim

Subjects: Functional Analysis (math.FA)

[2325] arXiv:1508.07655 [pdf, other]

Title: An explicit Jacobian of dimension 3 with maximal Galois action

David Zywina

Subjects: Number Theory (math.NT)

[2326] arXiv:1508.07657 [pdf, other]

Title: Remarks on spectral gaps on the Riemannian path space

Shizan Fang, Bo Wu

Subjects: Probability (math.PR)

[2327] arXiv:1508.07658 [pdf, other]

Title: Vertex operators and principal subspaces of level one for $U_q (\widehat{\mathfrak{sl}}_2)$

Slaven Kozic

Comments: 31 pages, 4 figures, minor changes, final version

Journal-ref: J. Algebra 455 (2016), 251-290

Subjects: Quantum Algebra (math.QA)

[2328] arXiv:1508.07660 [pdf, other]

Title: On the possible images of the mod ell representations associated to elliptic curves over Q

David Zywina

Subjects: Number Theory (math.NT)

[2329] arXiv:1508.07661 [pdf, other]

Title: On the surjectivity of mod $\ell$ representations associated to elliptic curves

David Zywina

Comments: Minor corrections. Code in appendix was updated to better match the algorithm stated in the paper

Subjects: Number Theory (math.NT)

[2330] arXiv:1508.07662 [pdf, other]

Title: Nonhomogeneous Boundary Value Problem for the Steady Navier-Stokes Equations in 2D Symmetric Domains with Several Outlets to Infinity

Kristina Kaulakyte, Wei Xue

Subjects: Analysis of PDEs (math.AP)

[2331] arXiv:1508.07663 [pdf, other]

Title: Possible indices for the Galois image of elliptic curves over Q

David Zywina

Comments: Minor corrections and updates. New permanent link to related code with improvements in code (it was running extraordinarily slow on current versions of Magma)

Subjects: Number Theory (math.NT)

[2332] arXiv:1508.07666 [pdf, other]

Title: BRST structure for the mixed Weyl-diffeomorphism residual symmetry

Jordan François, Serge Lazzarini, Thierry Masson

Comments: 23 pages, 3 figures

Journal-ref: Journal of Mathematical Physics 57, 033504 (2016)

Subjects: Mathematical Physics (math-ph)

[2333] arXiv:1508.07668 [pdf, other]

Title: Cincinnati lectures on Bellman functions

Leonid Slavin (editor), Vasily Vasyunin

Comments: 33 pages, 4 figures

Subjects: Classical Analysis and ODEs (math.CA)

[2334] arXiv:1508.07670 [pdf, other]

Title: Chromatic bases for symmetric functions

Soojin Cho, Stephanie van Willigenburg

Comments: 6 pages, final version that appeared in Electron. J. Combin. with the missing term in Theorem 8 Part 4 added. The authors would like to thank Samantha Dahlberg for alerting them to this omission

Journal-ref: Electron. J. Combin. 23:P1.15 6pp (2016)

Subjects: Combinatorics (math.CO)

[2335] arXiv:1508.07671 [pdf, other]

Title: Rigid Body Pose Estimation based on the Lagrange-d'Alembert Principle

Maziar Izadi, Amit Kumar Sanyal

Subjects: Optimization and Control (math.OC)

[2336] arXiv:1508.07675 [pdf, other]

Title: The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-body Evolution

Xuwen Chen, Justin Holmer

Journal-ref: International Mathematics Research Notices, Vol. 2017, No. 14, 4173-4216

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

[2337] arXiv:1508.07682 [pdf, other]

Title: Bounds for the Lang-Trotter conjectures

David Zywina

Comments: To appear in CRM Proceedings Series, published by the AMS as part of the Contemporary Mathematics Series, dedicated to Ram Murty's 60th birthday conference

Subjects: Number Theory (math.NT)

[2338] arXiv:1508.07687 [pdf, other]

Title: Counting Dirac braid relators and hyperelliptic Lefschetz fibrations

Hisaaki Endo, Seiichi Kamada

Comments: 30 pages, 32 figures; (v2) the title changed, Section 1 rewritten, remarks added. arXiv admin note: text overlap with arXiv:1403.7946

Subjects: Geometric Topology (math.GT)

[2339] arXiv:1508.07692 [pdf, other]

Title: On the Kobayashi hyperbolicity of tube domains in ${\mathbb C}^2$

Alexander Isaev

Subjects: Complex Variables (math.CV)

[2340] arXiv:1508.07693 [pdf, other]

Title: Stochastic maximum principle for stochastic recursive optimal control problem under volatility ambiguity

Mingshang Hu, Shaolin Ji

Comments: 29 pages

Subjects: Optimization and Control (math.OC)

[2341] arXiv:1508.07694 [pdf, other]

Title: Arc length as a conformal parameter for locally analytic curves

Vassili Nestoridis, Athanase Papadopoulos (IRMA)

Subjects: Complex Variables (math.CV); Metric Geometry (math.MG)

[2342] arXiv:1508.07695 [pdf, other]

Title: Real frontiers of fake planes

Adrien Dubouloz (IMB), Frédéric Mangolte (LAREMA)

Journal-ref: European Journal of Mathematics, Springer, 2016, Special Issue: Spitsbergen Volume, 2 (1), pp.140-168

Subjects: Algebraic Geometry (math.AG)

[2343] arXiv:1508.07696 [pdf, other]

Title: Averaging for SDE-BSDE with null recurrent fast component Application to homogenization in a non periodic media

K Bahlali (IMATH), A Elouaflin (UFR-MI), E Pardoux (LATP)

Subjects: Probability (math.PR)

[2344] arXiv:1508.07698 [pdf, other]

Title: Rate-Compatible Polar Codes for Wireless Channels

Mostafa El-Khamy, Hsien-Ping Lin, Jungwon Lee, Hessam Mahdavifar, Inyup Kang

Comments: Accepted for publication at 2015 IEEE Global Communications Conference (Globecom)

Subjects: Information Theory (cs.IT)

[2345] arXiv:1508.07699 [pdf, other]

Title: The complexity of topological conjugacy of pointed Cantor minimal systems

Burak Kaya

Subjects: Logic (math.LO); Dynamical Systems (math.DS)

[2346] arXiv:1508.07703 [pdf, other]

Title: Kuratowski monoids of $n$-topological spaces

T. Banakh, O. Chervak, T. Martynyuk, M. Pylypovych, A. Ravsky, M. Simkiv

Comments: 20 pages

Journal-ref: Top. Algebra Appl. 6:1 (2018) 1-25

Subjects: General Topology (math.GN); Combinatorics (math.CO); Rings and Algebras (math.RA)

[2347] arXiv:1508.07705 [pdf, other]

Title: A recursive structure of sand pile model and its applications

Wenjie Fang, Roberto Mantaci

Comments: 17 pages, 6 figures. Accepted by Pure Mathematics and Applications, to appear

Journal-ref: Pure Mathematics and Applications 25 (2015) 63-78

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

[2348] arXiv:1508.07706 [pdf, other]

Title: Quasiprimitive groups containing a transitive alternating group

Binzhou Xia

Subjects: Group Theory (math.GR)

[2349] arXiv:1508.07713 [pdf, other]

Title: A Characterization of Triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals

Do Trong Hoang, Tran Nam Trung

Comments: 15 pages, to appear in JACO

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

[2350] arXiv:1508.07716 [pdf, other]

Title: Canonical Kahler metrics and Arithmetics -- Generalising Faltings heights

Yuji Odaka

Comments: 47 pages. Final version, to appear in Kyoto Journal of Mathematics

Journal-ref: Kyoto J. Math. 58, no. 2 (2018), 243-288

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