Mathematics

Authors and titles for March 2018

[2401] arXiv:1803.09137 [pdf, other]

Title: A stochastic telegraph equation from the six-vertex model

Alexei Borodin, Vadim Gorin

Comments: 63 pages. v3: Conjecture 6.1 is now Theorem 6.1. To appear in Annals of Probability

Subjects: Probability (math.PR); Mathematical Physics (math-ph)

[2402] arXiv:1803.09139 [pdf, other]

Title: On contact graphs of totally separable packings in low dimensions

Károly Bezdek, Márton Naszódi

Comments: 12 pages

Journal-ref: Adv. in Appl. Math. 101 (2018) 266-280

Subjects: Metric Geometry (math.MG)

[2403] arXiv:1803.09141 [pdf, other]

Title: A Note on the DP-Chromatic Number of Complete Bipartite Graphs

Jeffrey A. Mudrock

Comments: 6 pages

Subjects: Combinatorics (math.CO)

[2404] arXiv:1803.09142 [pdf, other]

Title: Bypass attachments in higher-dimensional contact topology

Ko Honda, Yang Huang

Comments: 61 pages, 21 figures; updated reference

Subjects: Symplectic Geometry (math.SG)

[2405] arXiv:1803.09144 [pdf, other]

Title: A study on resistance matrix of graphs

Deepak Sarma

Comments: 16 pages

Subjects: Combinatorics (math.CO)

[2406] arXiv:1803.09147 [pdf, other]

Title: A generalization of an integrability theorem of Darboux

Michael Benfield, Helge Kristian Jenssen, Irina A. Kogan

Comments: 21 pages, 2 figures

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[2407] arXiv:1803.09154 [pdf, other]

Title: Unifying large scale and small scale geometry

Jerzy Dydak

Comments: 21 pages, 2nd version significantly expanded, in particular the concept of large scale compactifications is introduced

Subjects: Metric Geometry (math.MG); General Topology (math.GN); Geometric Topology (math.GT)

[2408] arXiv:1803.09155 [pdf, other]

Title: The diagonalization method and Brocard's problem

Theophilus Agama

Comments: 6 pages; the underlying requirements of the diagonal method have been simplified

Subjects: General Mathematics (math.GM)

[2409] arXiv:1803.09161 [pdf, other]

Title: On the birational geometry of spaces of complete forms I: collineations and quadrics

Alex Massarenti

Comments: 38 pages

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

[2410] arXiv:1803.09169 [pdf, other]

Title: FROST -- Fast row-stochastic optimization with uncoordinated step-sizes

Ran Xin, Chenguang Xi, Usman A. Khan

Comments: Submitted for journal publication, currently under review

Subjects: Optimization and Control (math.OC)

[2411] arXiv:1803.09170 [pdf, other]

Title: Hermitian non-K\"{a}hler structures on products of principal $S^{1}$-bundles over complex flag manifolds and applications in Hermitian geometry with torsion

Eder M. Correa

Comments: Minor corrections. Comments and suggestions are welcome. arXiv admin note: text overlap with arXiv:1801.02763

Subjects: Differential Geometry (math.DG)

[2412] arXiv:1803.09181 [pdf, other]

Title: Saturated Fully Leafed Tree-Like Polyforms and Polycubes

Blondin Massé Alexandre, de Carufel Julien, Goupil Alain

Subjects: Combinatorics (math.CO)

[2413] arXiv:1803.09182 [pdf, other]

Title: Harmonic determinants and unique continuation

Mihajlo Cekić

Comments: 22 pages, comments are welcome

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[2414] arXiv:1803.09185 [pdf, other]

Title: Slim cyclotomic q-Schur algebras

Bangming Deng, Jie Du, Guiyu Yang

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[2415] arXiv:1803.09186 [pdf, other]

Title: Finite-Data Performance Guarantees for the Output-Feedback Control of an Unknown System

Ross Boczar, Nikolai Matni, Benjamin Recht

Comments: Changed margins

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

[2416] arXiv:1803.09187 [pdf, other]

Title: The Probability that Ideals in a Number Ring are k-wise Relatively r-Prime

Ryan D. DeMoss, Brian D. Sittinger

Comments: Final published version of the article

Journal-ref: International Journal of Number Theory, Vol. 16, No. 08, pp.1753-1765 (2020)

Subjects: Number Theory (math.NT)

[2417] arXiv:1803.09188 [pdf, other]

Title: Parareal exponential $\theta$-scheme for longtime simulation of stochastic Schr\"odinger equations with weak damping

Jialin Hong, Xu Wang, Liying Zhang

Comments: 25pages

Subjects: Numerical Analysis (math.NA)

[2418] arXiv:1803.09190 [pdf, other]

Title: Bayesian Optimal Data Detector for Hybrid mmWave MIMO-OFDM Systems with Low-Resolution ADCs

Hengtao He, Chao-Kai Wen, Shi Jin

Comments: 15 pages,8 figures, to appear in IEEE Journal of Selected Topics in Signal Processing

Subjects: Information Theory (cs.IT)

[2419] arXiv:1803.09192 [pdf, other]

Title: The Shifted-inverse Power Weak Galerkin Method for Eigenvalue Problems

Qilong Zhai, Xiaozhe Hu, Ran Zhang

Comments: 19 pages, 3 tables

Subjects: Numerical Analysis (math.NA)

[2420] arXiv:1803.09193 [pdf, other]

Title: Optimal Spectrum Sensing Policy with Traffic Classification in RF-Powered CRNs

Hae Sol Lee, Muhammad Ejaz Ahmed, Dong In Kim

Comments: 14 pages, 12 figures

Subjects: Information Theory (cs.IT)

[2421] arXiv:1803.09194 [pdf, other]

Title: A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids

Ivan Kobyzev, Ilya Shapiro

Comments: Final version, to appear in Applied Categorical Structures

Subjects: K-Theory and Homology (math.KT); Category Theory (math.CT); Quantum Algebra (math.QA)

[2422] arXiv:1803.09198 [pdf, other]

Title: Quadratic differentials, measured foliations and metric graphs on punctured surfaces

Kealey Dias, Subhojoy Gupta, Maria Trnkova

Comments: 32 pages, 9 figures

Subjects: Geometric Topology (math.GT)

[2423] arXiv:1803.09199 [pdf, other]

Title: Peano Model for Planar Compacta and a Lemma by Beardon

Jun Luo, Yi Yang, Xiao-Ting Yao

Comments: 37 pages, 14 figures

Subjects: Dynamical Systems (math.DS)

[2424] arXiv:1803.09201 [pdf, other]

Title: On the Euler-Poincar\'e characteristic and mixed multiplicities of maximal degrees

Truong Thi Hong Thanh, Duong Quoc Viet

Comments: 22 pages

Subjects: Commutative Algebra (math.AC)

[2425] arXiv:1803.09207 [pdf, other]

Title: Revisiting Mayer: Symmetric solutions for sporadic cases of the Map Color Theorem

Timothy Sun

Comments: 6 pages, 6 figures

Subjects: Combinatorics (math.CO)

[2426] arXiv:1803.09212 [pdf, other]

Title: Shape, Scale, and Minimality of Matrix Ranges

Benjamin Passer

Comments: 32 pages. Version 2 includes some updates to section 3. To appear in Transactions of the American Mathematical Society

Journal-ref: Trans. Amer. Math. Soc. 372:2 (2019), 1451-1484

Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA)

[2427] arXiv:1803.09213 [pdf, other]

Title: Almost para-Hermitian and almost paracontact metric structures induced by natural Riemann extensions

Cornelia-Livia Bejan, Galia Nakova

Comments: 17 pages

Subjects: Differential Geometry (math.DG)

[2428] arXiv:1803.09216 [pdf, other]

Title: Real-Variable Characterizations of Orlicz-Slice Hardy Spaces

Yangyang Zhang, Dachun Yang, Wen Yuan, Songbai Wang

Comments: 58 pages; Submitted

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[2429] arXiv:1803.09221 [pdf, other]

Title: Nonconventional Random Matrix Products

Yuri Kifer, Sasha Sodin

Subjects: Probability (math.PR)

[2430] arXiv:1803.09223 [pdf, other]

Title: Edge correlations in random regular hypergraphs and applications to subgraph testing

Alberto Espuny Díaz, Felix Joos, Daniela Kühn, Deryk Osthus

Comments: Final version. To appear in SIAM J. Discrete Math

Subjects: Combinatorics (math.CO)

[2431] arXiv:1803.09224 [pdf, other]

Title: Inexact Sequential Quadratic Optimization with Penalty Parameter Updates Within the QP Solve: Extended Version

James V. Burke, Frank E. Curtis, Hao Wang, Jiashan Wang

Subjects: Optimization and Control (math.OC)

[2432] arXiv:1803.09225 [pdf, other]

Title: NOMA for throughput and EE maximization in Energy Harvesting Enabled Networks

A. A. Nasir, H. D. Tuan, T. Q. Duong, M. Debbah

Subjects: Information Theory (cs.IT)

[2433] arXiv:1803.09228 [pdf, other]

Title: The Gross-Pitaevskii equation: B\"acklund transformations and admitted solutions

Sandra Carillo, Federico Zullo

Comments: arXiv admin note: text overlap with arXiv:1711.04304 Authors' Answer: this article represents a further development of the previous one; thus, some crucial results are repeated for the reader convenience

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

[2434] arXiv:1803.09229 [pdf, other]

Title: Logarithmic girth expander graphs of $SL_n(\mathbb F_p)$

Goulnara Arzhantseva, Arindam Biswas

Comments: Title and content updated to reflect published version. Previous title: "Large girth graphs with bounded diameter-by-girth ratio"

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

[2435] arXiv:1803.09232 [pdf, other]

Title: On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems

Svetlana Matculevich, Monika Wolfmayr

Comments: 29 pages, 14 figures, 14 tables

Subjects: Numerical Analysis (math.NA)

[2436] arXiv:1803.09233 [pdf, other]

Title: On modules with self Tor vanishing

Olgur Celikbas, Henrik Holm

Comments: Introduction has been rewritten and terminology has been changed to align with work of Avramov, Iyengar, Nasseh, and Sather-Wagstaff. 5 pages

Subjects: Commutative Algebra (math.AC)

[2437] arXiv:1803.09235 [pdf, other]

Title: An improved Popoviciu-type inequality for a new Bernstein-type operator

Mihai N. Pascu, Nicolae R. Pascu, Florenţa Tripşa

Comments: 7 pages, no figures

Subjects: Classical Analysis and ODEs (math.CA)

[2438] arXiv:1803.09236 [pdf, other]

Title: A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography

Tatsuo Iguchi

Subjects: Analysis of PDEs (math.AP)

[2439] arXiv:1803.09239 [pdf, other]

Title: What is a true spectra of a finite Fourier transform

Javier Diaz-Vargas, Lev Glebsky, Carlos Jacob Rubio-Barrios

Comments: 11 pages

Subjects: Group Theory (math.GR); Representation Theory (math.RT)

[2440] arXiv:1803.09243 [pdf, other]

Title: On algebraic properties of low rank approximations of Prony systems

Gil Goldman, Yosef Yomdin

Subjects: Classical Analysis and ODEs (math.CA)

[2441] arXiv:1803.09245 [pdf, other]

Title: On comparison between relative log de Rham-Witt cohomology and relative log crystalline cohomology

Kazuki Hirayama, Atsushi Shiho

Comments: 54 pages, Appendix added

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

[2442] arXiv:1803.09246 [pdf, other]

Title: Ground states of the $L^2$-critical NLS equation with localized nonlinearity on a tadpole graph

Simone Dovetta, Lorenzo Tentarelli

Comments: 12 pages, 5 figures. Keywords: minimization, metric graphs, critical growth, nonlinear Schrödinger equation, localized nonlinearity

Journal-ref: Oper. Theory Adv. Appl. 281 (2020), 113-125

Subjects: Analysis of PDEs (math.AP)

[2443] arXiv:1803.09248 [pdf, other]

Title: Construction of nice nilpotent Lie groups

Diego Conti, Federico A. Rossi

Comments: v3: Condition (N3) has been changed to exclude diagrams with arrows with the same label as the starting node, this will not affect the rest of the paper or the results, since this condition was implicitly assumed through the paper. Added a final remark 3.9. Presentation improved and bibliography updated. Article 28 Pages; Tables in ancillary file 137 pages

Journal-ref: Journal of Algebra, Volume 525, 2019, Pages 311-340, ISSN 0021-8693

Subjects: Differential Geometry (math.DG)

[2444] arXiv:1803.09253 [pdf, other]

Title: Boundary behavior for random walks in cones

Kilian Raschel, Pierre Tarrago

Comments: 37 pages, 2 figures. The previous version of this article (arXiv:1803.09253V2) has been split into two parts: the first part is the new version (arXiv:1803.09253v3) and the second will be part of a joint article with Jetlir Duraj and Vitali Wachtel (to appear soon on arXiv)

Subjects: Probability (math.PR)

[2445] arXiv:1803.09259 [pdf, other]

Title: Dynamics on the Wandering Components of the Fatou Set of Three Transcendental Entire Functions and Their Composites

Bishnu Hari Subedi, Ajaya Singh

Comments: 10 pages

Subjects: Dynamical Systems (math.DS)

[2446] arXiv:1803.09261 [pdf, other]

Title: Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function

Sandra Carillo

Subjects: Mathematical Physics (math-ph)

[2447] arXiv:1803.09262 [pdf, other]

Title: On the pro-$p$-Iwahori invariants of supersingular representations of unramified $U(2, 1)$

Peng Xu

Comments: version 2: 1) the admissibility assumption in version 1 is removed, by a suggestion from Karol Kozioł. 2) fix an inaccuracy in the appendix

Subjects: Representation Theory (math.RT); Number Theory (math.NT)

[2448] arXiv:1803.09266 [pdf, other]

Title: New SOCP relaxation and branching rule for bipartite bilinear programs

Santanu S. Dey, Asteroide Santana, Yang Wang

Subjects: Optimization and Control (math.OC)

[2449] arXiv:1803.09267 [pdf, other]

Title: Frobenius Degenerations of Preprojective Algebras

Daniel Kaplan

Comments: 55 pages, to appear in the Journal of Noncommutative Geometry, exposition clarified and minor errors fixed as part of the author's thesis corrections

Subjects: Rings and Algebras (math.RA); Representation Theory (math.RT); Symplectic Geometry (math.SG)

[2450] arXiv:1803.09268 [pdf, other]

Title: On the non-vanishing of $p$-adic heights on CM abelian varieties, and the arithmetic of Katz $p$-adic $L$-functions

Ashay Burungale, Daniel Disegni

Comments: Ann. Inst. Fourier, to appear

Journal-ref: Ann. Inst. Fourier 70-5 (2020), 2077-2101

Subjects: Number Theory (math.NT)