Mathematics

Authors and titles for October 2022

[2101] arXiv:2210.10889 [pdf, other]

Title: On a quasilinear elliptic problem involving the 1-laplacian operator and a discontinuous nonlinearity

Marcos T.O. Pimenta, Gelson C.G. Santos, João R. Santos Júnior

Comments: 21 pages

Subjects: Analysis of PDEs (math.AP)

[2102] arXiv:2210.10900 [pdf, other]

Title: $r-$Adaptive Deep Learning Method for Solving Partial Differential Equations

Ángel J. Omella, David Pardo

Comments: 19 pages

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Neural and Evolutionary Computing (cs.NE)

[2103] arXiv:2210.10902 [pdf, other]

Title: Review on long time asymptotics of large data in some nonintegrable dispersive models

Claudio Muñoz

Comments: Review of a talk given at TYAN Virtual Thematic Workshop in Mathematics, in September 2021. To appear in Matemática Contemporânea

Subjects: Analysis of PDEs (math.AP)

[2104] arXiv:2210.10912 [pdf, html, other]

Title: Wave propagation on rotating cosmic string spacetimes

Katrina Morgan, Jared Wunsch

Comments: 58 pgs; Lemma 9.3 has been updated

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[2105] arXiv:2210.10917 [pdf, other]

Title: Substring Density Estimation from Traces

Kayvon Mazooji, Ilan Shomorony

Comments: 22 pages, 3 figures

Subjects: Information Theory (cs.IT); Data Structures and Algorithms (cs.DS); Probability (math.PR); Statistics Theory (math.ST)

[2106] arXiv:2210.10923 [pdf, other]

Title: Extension of mappings from the product of pseudocompact spaces

Evgenii Reznichenko

Comments: Evgenii Reznichenko Extension of mappings from the product of pseudocompact spaces Topology and its Applications Available online 4 November 2022, 108329 In Press, Journal Pre-proof Topology and its Applications

Journal-ref: Topol.Appl. 322 (2022) 108329

Subjects: General Topology (math.GN)

[2107] arXiv:2210.10928 [pdf, other]

Title: Boundary-Border Extensions of the Kuratowski Monoid

Mark Bowron

Comments: 51 pages, 11 figures

Journal-ref: Topology and its Applications, 341 (1 January 2024), article 108703

Subjects: General Topology (math.GN)

[2108] arXiv:2210.10932 [pdf, other]

Title: A note on equivalences between various mixing scales

Bohan Zhou

Subjects: Dynamical Systems (math.DS)

[2109] arXiv:2210.10934 [pdf, other]

Title: Macaulay duality and its geometry

Steven L. Kleiman, Jan O. Kleppe

Comments: Clarifications were made following the many thoughtful suggestions of the referee of the Collino Memorial Volume, including new indices of terminology and notation and the observation (justified more in this version than the one in press) that a general quotient of socle type bounded by t(-) is RECURSIVELY compressed of socle type t(-)

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

[2110] arXiv:2210.10939 [pdf, other]

Title: Discriminant, vertex and general type of a family of polynomials

Wallace Sousa

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

[2111] arXiv:2210.10941 [pdf, other]

Title: Spectral theory of $p-adic$ Hermite operator

Tianhong Zhao

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Number Theory (math.NT); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[2112] arXiv:2210.10942 [pdf, other]

Title: Lecture notes on Legendre polynomials: their origin and main properties

F. M. S. Lima

Comments: These notes may be useful for those interested in understanding Legendre polynomials in the frame of mathematical physics. They may also be useful for those interested in shifted Legendre polynomials and their application on irrationality proofs

Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)

[2113] arXiv:2210.10954 [pdf, other]

Title: Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem

Kin Ming Hui, Kai-Seng Chou

Comments: 23 pages, new reference added

Subjects: Analysis of PDEs (math.AP)

[2114] arXiv:2210.10963 [pdf, other]

Title: UAV-Assisted Multi-Cluster Over-the-Air Computation

Min Fu, Yong Zhou, Yuanming Shi, Chunxiao Jiang, Wei Zhang

Comments: 30 pages

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[2115] arXiv:2210.10966 [pdf, html, other]

Title: Maximization of the first Laplace eigenvalue of a finite graph

T. Gomyou, S. Nayatani

Comments: 17 pages

Subjects: Combinatorics (math.CO)

[2116] arXiv:2210.10980 [pdf, other]

Title: Sieve Method and Prime Gaps via Probabilistic Method

Buxin Su

Comments: 15 pages, 0 figures

Subjects: Number Theory (math.NT); Probability (math.PR)

[2117] arXiv:2210.10982 [pdf, other]

Title: A generalized expansion method for computing Laplace-Beltrami eigenfunctions on manifolds

Jackson C. Turner, Elena Cherkaev, Dong Wang

Comments: 17 pages, 13 figures

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[2118] arXiv:2210.10989 [pdf, other]

Title: A curious identity in connection with saddle-point method and Stirling's formula

Hsien-Kuei Hwang

Comments: 4 figures

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

[2119] arXiv:2210.10990 [pdf, other]

Title: Convergence Analysis of Discrete Conformal Transformation

Zhenyue Zhang, Zhong-Heng Tan

Subjects: Numerical Analysis (math.NA)

[2120] arXiv:2210.11002 [pdf, other]

Title: Contactomorphisms of the sphere without translated points

Dylan Cant

Comments: 7 pages

Subjects: Symplectic Geometry (math.SG)

[2121] arXiv:2210.11008 [pdf, other]

Title: Nonlinear potential estimates for sublinear problems with applications to elliptic semilinear and quasilinear equations

Igor E. Verbitsky

Comments: 30 pages. arXiv admin note: text overlap with arXiv:2203.02531

Subjects: Analysis of PDEs (math.AP)

[2122] arXiv:2210.11014 [pdf, other]

Title: Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs

Víctor Becerril, Marco A. Pérez

Comments: Some homotopical aspects concerning model structures were added. Some corrections were made and new examples were included

Subjects: Representation Theory (math.RT); Commutative Algebra (math.AC)

[2123] arXiv:2210.11025 [pdf, html, other]

Title: Double precision is not necessary for LSQR for solving discrete linear ill-posed problems

Haibo Li

Journal-ref: Journal of Scientific Computing 2024

Subjects: Numerical Analysis (math.NA)

[2124] arXiv:2210.11027 [pdf, html, other]

Title: Framed $E_2$ structures in Floer theory

Mohammed Abouzaid, Yoel Groman, Umut Varolgunes

Comments: 82 pages, 9 figures. Comments welcome. Numerous minor changes

Subjects: Symplectic Geometry (math.SG)

[2125] arXiv:2210.11030 [pdf, other]

Title: The cohomology of spherical vector bundles on K3 surfaces

Yeqin Liu

Comments: 61 pages, 0 figures

Subjects: Algebraic Geometry (math.AG)

[2126] arXiv:2210.11031 [pdf, other]

Title: Bergman kernel functions associated to measures supported on totally real submanifolds

George Marinescu, Duc-Viet Vu

Subjects: Complex Variables (math.CV); Probability (math.PR)

[2127] arXiv:2210.11032 [pdf, other]

Title: Counting Connected Partitions of Graphs

Yair Caro, Balázs Patkós, Zsolt Tuza, Máté Vizer

Subjects: Combinatorics (math.CO)

[2128] arXiv:2210.11036 [pdf, other]

Title: Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality

Kavin R, Ananta K Majee

Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

[2129] arXiv:2210.11037 [pdf, other]

Title: Edges not covered by monochromatic bipartite graphs

Xiutao Zhu, Ervin Győri, Zhen He, Zequn Lv, Nika Salia, Casey Tompkins, Kitti Varga

Subjects: Combinatorics (math.CO)

[2130] arXiv:2210.11038 [pdf, other]

Title: Towards the Gaussianity of Random Zeckendorf Games

Justin Cheigh, Guilherme Zeus Dantas e Moura, Ryan Jeong, Jacob Lehmann Duke, Wyatt Milgrim, Steven J. Miller, Prakod Ngamlamai

Comments: 29 pages

Subjects: Combinatorics (math.CO)

[2131] arXiv:2210.11040 [pdf, other]

Title: Shifted Convolution Sum for $GL(3) \times GL(2)$ with Weighted Average

Mohd Harun, Saurabh Kumar Singh

Comments: 24 Pages. Accepted for publication in The Ramanujan Journal

Subjects: Number Theory (math.NT)

[2132] arXiv:2210.11041 [pdf, other]

Title: The Tur\'an Number of Surfaces

Maya Sankar

Comments: 14 pages, 5 figures

Subjects: Combinatorics (math.CO)

[2133] arXiv:2210.11043 [pdf, other]

Title: Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces, 1

Oleksandra Khokhliuk, Sergiy Maksymenko

Comments: 37 pages, 2 figures, the content is essentially reworked

Journal-ref: Journal of Homotopy and Related Structures, 18 (2023) 313-356

Subjects: Algebraic Topology (math.AT); Complex Variables (math.CV); Differential Geometry (math.DG); Dynamical Systems (math.DS); Geometric Topology (math.GT)

[2134] arXiv:2210.11044 [pdf, other]

Title: Equilibria analysis of a networked bivirus epidemic model using Poincar\'e--Hopf and Manifold Theory

Brian D.O. Anderson, Mengbin Ye

Comments: Accepted version of paper to appear in SIAM Journal of Applied Dynamical Systems

Journal-ref: SIAM Journal of Applied Dynamical Systems, 22 (4): pp. 2856 - 2889, 2023

Subjects: Dynamical Systems (math.DS); Systems and Control (eess.SY); Differential Geometry (math.DG)

[2135] arXiv:2210.11048 [pdf, html, other]

Title: The quadratic linking degree

Clémentine Lemarié--Rieusset (IMB)

Subjects: Algebraic Geometry (math.AG); Geometric Topology (math.GT)

[2136] arXiv:2210.11051 [pdf, other]

Title: Representing ideal classes of ray class groups by product of prime ideals of small size

J.-M. Deshouillers, S. Gun, O. Ramaré, J. Sivaraman

Subjects: Number Theory (math.NT)

[2137] arXiv:2210.11067 [pdf, other]

Title: A note on knot fertility II

Tetsuya Ito

Comments: 7 pages, no Figures

Journal-ref: Acta Math. Hungar.169(2023), no.2, 553-561

Subjects: Geometric Topology (math.GT)

[2138] arXiv:2210.11069 [pdf, other]

Title: Pipelined Architecture for Soft-decision Iterative Projection Aggregation Decoding for RM Codes

Marzieh Hashemipour-Nazari, Yuqing Ren, Kees Goossens, Alexios Balatsoukas-Stimming

Subjects: Information Theory (cs.IT); Hardware Architecture (cs.AR); Signal Processing (eess.SP)

[2139] arXiv:2210.11076 [pdf, other]

Title: A Gauss Laguerre approach for the resolvent of fractional powers

Eleonora Denich, Laura Grazia Dolce, Paolo Novati

Subjects: Numerical Analysis (math.NA)

[2140] arXiv:2210.11079 [pdf, other]

Title: Sequential Quantum Channel Discrimination

Yonglong Li, Christoph Hirche, Marco Tomamichel

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

[2141] arXiv:2210.11081 [pdf, other]

Title: Computing maximum likelihood thresholds using graph rigidity

Daniel Irving Bernstein, Sean Dewar, Steven J. Gortler, Anthony Nixon, Meera Sitharam, Louis Theran

Comments: 15 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:2108.02185

Journal-ref: Alg. Stat. 14 (2023) 287-305

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

[2142] arXiv:2210.11090 [pdf, other]

Title: Decay rates of convergence for Fokker-Planck equations with confining drift

Alessio Porretta

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[2143] arXiv:2210.11098 [pdf, html, other]

Title: The definable content of homological invariants II: \v{C}ech cohomology and homotopy classification

Jeffrey Bergfalk, Martino Lupini, Aristotelis Panagiotopoulos

Comments: 63 pages; revised and accepted to Forum of Mathematics, Pi

Subjects: Logic (math.LO); Algebraic Topology (math.AT); Geometric Topology (math.GT); K-Theory and Homology (math.KT)

[2144] arXiv:2210.11102 [pdf, html, other]

Title: Piecewise linear interpolation of noise in finite element approximations of parabolic SPDEs

Gabriel Lord, Andreas Petersson

Comments: Extended introduction, added supplementary comparison to spectral method

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[2145] arXiv:2210.11110 [pdf, other]

Title: Twist maps of the annulus: an abstract point of view

Patrice Le Calvez

Subjects: Dynamical Systems (math.DS)

[2146] arXiv:2210.11116 [pdf, other]

Title: A new approach for computing the distance and the diameter in circulant graphs

Laila Loudiki, Mustapha Kchikech, El Hassan Essaky

Comments: arXiv admin note: text overlap with arXiv:2102.10397

Subjects: Combinatorics (math.CO)

[2147] arXiv:2210.11117 [pdf, html, other]

Title: Associated Permutations of Complete Non-Ambiguous Trees

Daniel Chen, Sebastian Ohlig

Journal-ref: Discrete Mathematics & Theoretical Computer Science, vol. 25:2, Combinatorics (April 3, 2024) dmtcs:11169

Subjects: Combinatorics (math.CO)

[2148] arXiv:2210.11119 [pdf, other]

Title: Minimum Age of Information in Internet of Things with Opportunistic Channel Access

Lei Wang, Rongfei Fan

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[2149] arXiv:2210.11120 [pdf, other]

Title: Strong domination number of some operations on a graph

Saeid Alikhani, Nima Ghanbari, Hassan Zaherifar

Comments: 10 pages, 5 figures

Subjects: Combinatorics (math.CO)

[2150] arXiv:2210.11128 [pdf, other]

Title: On the isomorphism class of $q$-Gaussian W$^\ast$-algebras for infinite variables

Martijn Caspers

Comments: To appear in the Comptes Rendus de l'Academie des Sciences

Subjects: Operator Algebras (math.OA)