Mathematics

Authors and titles for September 2018

[2401] arXiv:1809.09308 [pdf, other]

Title: Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws

Zhouping Xin, Qian Yuan, Yuan Yuan

Subjects: Analysis of PDEs (math.AP)

[2402] arXiv:1809.09316 [pdf, other]

Title: Gr\"obner bases and equations of the multi-Rees algebras

Babak Jabarnejad

Subjects: Commutative Algebra (math.AC)

[2403] arXiv:1809.09320 [pdf, other]

Title: Digital pattern and transcendence via generalized $k$-regular sequences

Eiji Miyanohara

Comments: Title change. We unifies the arXiv:1809.09320v2 and arXiv:1405.7124v6

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

[2404] arXiv:1809.09322 [pdf, other]

Title: Fusions and Clifford extensions

Tiberiu Coconet, Andrei Marcus, Constantin-Cosmin Todea

Subjects: Representation Theory (math.RT)

[2405] arXiv:1809.09323 [pdf, other]

Title: Block extensions, local categories, and basic Morita equivalences

Tiberiu Coconet, Andrei Marcus, Constantin-Cosmin Todea

Subjects: Representation Theory (math.RT)

[2406] arXiv:1809.09336 [pdf, other]

Title: A Model-Driven Deep Learning Network for MIMO Detection

Hengtao He, Chao-Kai Wen, Shi Jin, Geoffrey Ye Li

Comments: 5 pages, 3 figures, to appear in IEEE Globalsip 2018

Subjects: Information Theory (cs.IT)

[2407] arXiv:1809.09339 [pdf, other]

Title: Extension of fragmented Baire-one functions on Lindel\"{o}f spaces

Olena Karlova, Volodymyr Mykhaylyuk

Subjects: General Topology (math.GN)

[2408] arXiv:1809.09340 [pdf, other]

Title: On the elliptic Kashiwara-Vergne Lie algebra

Elise Raphael, Leila Schneps

Subjects: Quantum Algebra (math.QA); Geometric Topology (math.GT)

[2409] arXiv:1809.09341 [pdf, other]

Title: On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables

Guan Huang, Vadim Kaloshin

Subjects: Dynamical Systems (math.DS)

[2410] arXiv:1809.09343 [pdf, other]

Title: Head and tail speeds of mean curvature flow with forcing

Hongwei Gao, Inwon Kim

Comments: 50 pages

Journal-ref: This is a pre-print of an article published in Archive for Rational Mechanics and Analysis in 2019

Subjects: Analysis of PDEs (math.AP)

[2411] arXiv:1809.09344 [pdf, other]

Title: An index theorem for Schr\"odinger operators on metric graphs

Yuri Latushkin, Selim Sukhtaiev

Subjects: Spectral Theory (math.SP)

[2412] arXiv:1809.09347 [pdf, other]

Title: Note on 3-Choosability of Planar Graphs with Maximum Degree 4

François Dross, Borut Lužar, Mária Maceková, Roman Soták

Subjects: Combinatorics (math.CO)

[2413] arXiv:1809.09348 [pdf, other]

Title: Algorithms for Euclidean Degree Bounded Spanning Tree Problems

Patrick J. Andersen, Charl J. Ras

Comments: 38 pages, 8 pages of appendices

Subjects: Combinatorics (math.CO); Computational Geometry (cs.CG)

[2414] arXiv:1809.09352 [pdf, other]

Title: New and Updated Semidefinite Programming Bounds for Subspace Codes

Daniel Heinlein, Ferdinand Ihringer

Journal-ref: Advances in Mathematics of Communications, 2020, 14 (4) : 613-630

Subjects: Combinatorics (math.CO)

[2415] arXiv:1809.09354 [pdf, other]

Title: Accelerated Coordinate Descent with Arbitrary Sampling and Best Rates for Minibatches

Filip Hanzely, Peter Richtárik

Comments: 28 pages, 108 figures

Subjects: Optimization and Control (math.OC)

[2416] arXiv:1809.09355 [pdf, other]

Title: A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

Yulong Du, Li Yuan*, Yahui Wang

Comments: 9 tables, 3 figures

Subjects: Numerical Analysis (math.NA)

[2417] arXiv:1809.09357 [pdf, other]

Title: The dynamics of gonosomal evolution operators

Akmal T. Absalamov, Utkir A. Rozikov

Comments: 12 pages

Subjects: Dynamical Systems (math.DS)

[2418] arXiv:1809.09360 [pdf, other]

Title: On the genus of a quotient of a numerical semigroup

Ayomikun Adeniran, Steve Butler, Colin Defant, Yibo Gao, Pamela E. Harris, Cyrus Hettle, Qingzhong Liang, Hayan Nam, Adam Volk

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

[2419] arXiv:1809.09362 [pdf, other]

Title: Combinatorics of free and simplicial line arrangements

David Geis

Comments: 18 pages, 2 figures. Updates in this version: the exposition has been changed in order to increase the level of organization of the paper (results are unchanged). The focus has been shifted more towards pseudoline arrangements, which is appropriate because most results are combinatorial in nature

Subjects: Combinatorics (math.CO)

[2420] arXiv:1809.09363 [pdf, other]

Title: A stochastic invariantization method for It\^o stochastic perturbations of differential equations

Jacky Cresson, Yasmina Kheloufi, Khadra Nachi

Comments: 15 pages

Subjects: Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[2421] arXiv:1809.09365 [pdf, other]

Title: A Comprehensive Subclass of Bi-Univalent Functions Associated with Chebyshev Polynomials of the Second Kind

Feras Yousef, Somaia Alroud, Mohamed Illafe

Subjects: Complex Variables (math.CV)

[2422] arXiv:1809.09377 [pdf, other]

Title: Evolution operator for time-dependent non-Hermitian Hamiltonians

Bijan Bagchi

Comments: 10 pages; Accepted in Letters in High Energy Physics, some typos corrected and few references added

Journal-ref: Lett High Energy Physics 3 (2018) 04

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

[2423] arXiv:1809.09384 [pdf, other]

Title: Relations de Hodge--Riemann et combinatoire des matro\"ides (d'apr\`es K. Adiprasito, J. Huh et E. Katz)

Antoine Chambert-Loir

Comments: Séminaire Bourbaki 2017/2018, 70e année, exposé 1144, mars 2018. in French To appear in Astérisque, vol. 414

Journal-ref: S\'eminaire Bourbaki 2017/18, Ast\'erisque 414, 2019 (Expos\'e 1144, mars 2018)

Subjects: Algebraic Geometry (math.AG)

[2424] arXiv:1809.09385 [pdf, other]

Title: Spectral multipliers for functions of fixed $K$-type on $L^p(SL(2,\mathbb{R}))$

Fulvio Ricci, Błażej Wróbel

Comments: 34 pages

Subjects: Functional Analysis (math.FA); Representation Theory (math.RT); Spectral Theory (math.SP)

[2425] arXiv:1809.09386 [pdf, other]

Title: Residually finite rationally solvable groups and virtual fibring

Dawid Kielak

Comments: 29 pages, no figures, v2. improved exposition following referee's comments. To appear in J. Amer. Math. Soc

Journal-ref: J. Amer. Math. Soc. 33 (2020), no. 2, 451-486

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

[2426] arXiv:1809.09389 [pdf, other]

Title: The application of the Schur-Weyl duality in the one-dimensional Hubbard model

Dorota Jakubczyk

Comments: 16 pages, 2 tables

Subjects: Mathematical Physics (math-ph)

[2427] arXiv:1809.09391 [pdf, other]

Title: Holomorphic Legendrian curves in projectivised cotangent bundles

Franc Forstneric, Finnur Larusson

Comments: Indiana Univ. Math. J., Vol. 17, No. 1 (2022)

Journal-ref: Indiana Univ. Math. J., 71(1):93-124, 2022

Subjects: Complex Variables (math.CV); Symplectic Geometry (math.SG)

[2428] arXiv:1809.09393 [pdf, other]

Title: On the box dimension of graph of harmonic functions on the Sierpi\'nski gasket

Abhilash Sahu, Amit Priyadarshi

Comments: 17 pages, 1 figure

Subjects: Metric Geometry (math.MG)

[2429] arXiv:1809.09394 [pdf, other]

Title: Large annihilator category O for sl_{\infty}, o_{\infty}, sp_{\infty}

Ivan Penkov, Vera Serganova

Subjects: Representation Theory (math.RT)

[2430] arXiv:1809.09402 [pdf, other]

Title: Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials

Daniel Erman, Steven V Sam, Andrew Snowden

Comments: This expository paper was written in conjunction with Craig Huneke's talk on Stillman's Conjecture at the 2018 JMM Current Events Bulletin

Journal-ref: Bull. Amer. Math. Soc. (N.S.) 56 (2019), no. 1, 87-114

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[2431] arXiv:1809.09411 [pdf, other]

Title: Analysis of Outage Probabilities for Cooperative NOMA Users with Imperfect CSI

Xuesong Liang, Xinbao Gong, Yongpeng Wu, Derrick Wing Kwan Ng, Tao Hong

Comments: 7 pages, 3 figures, accepted by ITOEC 2018

Subjects: Information Theory (cs.IT)

[2432] arXiv:1809.09416 [pdf, other]

Title: The Diamond ensemble: a constructive set of points with small logarithmic energy

Carlos Beltrán, Ujué Etayo

Subjects: Mathematical Physics (math-ph)

[2433] arXiv:1809.09418 [pdf, other]

Title: Connections between properties of the additive and the multiplicative groups of a two-sided skew brace

T. Nasybullov

Comments: 9 pages

Subjects: Group Theory (math.GR); Rings and Algebras (math.RA)

[2434] arXiv:1809.09422 [pdf, other]

Title: Coded Caching with Shared Caches: Fundamental Limits with Uncoded Prefetching

Emanuele Parrinello, Ayşe Ünsal, Petros Elia

Subjects: Information Theory (cs.IT)

[2435] arXiv:1809.09423 [pdf, other]

Title: Strategically reproducible bases and the factorization property

Richard Lechner, Pavlos Motakis, Paul F. X. Müller, Thomas Schlumprecht

Comments: 34 pages, 1 figure

Subjects: Functional Analysis (math.FA)

[2436] arXiv:1809.09432 [pdf, other]

Title: Coset construction of Virasoro minimal models and coupling of Wess-Zumino-Witten theory with Schramm-Loewner evolution

Shinji Koshida

Comments: 14 pages

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR); Quantum Algebra (math.QA); Representation Theory (math.RT)

[2437] arXiv:1809.09435 [pdf, other]

Title: Power mean of the Hurwitz zeta function

A.C.L. Ashton

Comments: 16 pages

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

[2438] arXiv:1809.09436 [pdf, other]

Title: Memory Management in Successive-Cancellation based Decoders for Multi-Kernel Polar Codes

Valerio Bioglio, Carlo Condo, Ingmar Land

Comments: to appear in 2018 Asilomar Conference on Signals, Systems, and Computers

Subjects: Information Theory (cs.IT)

[2439] arXiv:1809.09438 [pdf, other]

Title: Fast cubature of high dimensional biharmonic potential based on Approximate Approximations

Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt

Subjects: Numerical Analysis (math.NA)

[2440] arXiv:1809.09440 [pdf, other]

Title: Relations among the Riemann zeta and Hurwitz zeta functions as well as their products

A.C.L. Ashton, A.S. Fokas

Comments: 20 pages

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

[2441] arXiv:1809.09442 [pdf, other]

Title: Local biquandles and Niebrzydowski's tribracket theory

Sam Nelson, Kanako Oshiro, Natsumi Oyamaguchi

Comments: 41 pages. Version 2 includes changes suggested by referee. To appear in Topology and Its Applications

Subjects: Geometric Topology (math.GT)

[2442] arXiv:1809.09443 [pdf, other]

Title: The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos)

Nickos Papadatos

Comments: To appear in {\it Journal of Statistical Theory and Practice}. 13 pages, 1 Figure

Subjects: Probability (math.PR)

[2443] arXiv:1809.09449 [pdf, other]

Title: Hessian barrier algorithms for linearly constrained optimization problems

Immanuel M. Bomze, Panayotis Mertikopoulos, Werner Schachinger, Mathias Staudigl

Comments: 27 pages, 6 figures

Journal-ref: SIAM Journal on Optimization 29 (2019), 2100-2127

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG)

[2444] arXiv:1809.09453 [pdf, other]

Title: Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling

Jins de Jong, Raimar Wulkenhaar

Subjects: Mathematical Physics (math-ph)

[2445] arXiv:1809.09454 [pdf, other]

Title: Rational curves on fibered varieties

Fabrizio Anella

Comments: 17 pages, no figures, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[2446] arXiv:1809.09457 [pdf, other]

Title: On the boundary behavior of mass-minimizing integral currents

Camillo De Lellis, Guido De Philippis, Jonas Hirsch, Annalisa Massaccesi

Subjects: Analysis of PDEs (math.AP)

[2447] arXiv:1809.09458 [pdf, other]

Title: An improved upper bound for the grid Ramsey problem

Luka Milićević

Comments: 9 pages

Subjects: Combinatorics (math.CO)

[2448] arXiv:1809.09459 [pdf, other]

Title: The inverse cyclotomic Discrete Fourier Transform algorithm

Sergei V. Fedorenko

Comments: 4 pages. Proceedings of Sixteenth International Workshop on Algebraic and Combinatorial Coding Theory at Svetlogorsk, Russia, September 02-08, 2018

Journal-ref: IEEE Signal Processing Letters. 2019. Vol. 26, Issue 9, 1320-1324

Subjects: Information Theory (cs.IT)

[2449] arXiv:1809.09461 [pdf, other]

Title: Markov Processes and Some PCF Quadratic Polynomials

Vefa Goksel

Comments: 46 pages

Subjects: Number Theory (math.NT)

[2450] arXiv:1809.09462 [pdf, other]

Title: A reverse Sidorenko inequality

Ashwin Sah, Mehtaab Sawhney, David Stoner, Yufei Zhao

Comments: 30 pages

Subjects: Combinatorics (math.CO); Functional Analysis (math.FA)