Mathematics

Authors and titles for May 2022

[301] arXiv:2205.01426 [pdf, html, other]

Title: Extreme Values of Permutation Statistics

Philip Dörr, Thomas Kahle

Comments: 15 pages, comments welcome, v2: more detailed analysis of k_n, 18 pages

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

[302] arXiv:2205.01430 [pdf, other]

Title: A Riccati-Lyapunov Approach to Nonfeedback Capacity of MIMO Gaussian Channels Driven by Stable and Unstable Noise

Charalambos D. Charalambous, Stelios Louka

Comments: 6 pages

Subjects: Information Theory (cs.IT)

[303] arXiv:2205.01433 [pdf, other]

Title: Integrable fluctuations in the KPZ universality class

Daniel Remenik

Comments: Contribution to Proceedings of the ICM 2022, 19 pages

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

[304] arXiv:2205.01439 [pdf, other]

Title: Orbital Stability of Periodic Traveling Waves for the "abcd" Boussinesq Systems

Gabriel E. Bittencourt Moraes, Guilherme de Loreno, Fábio Natali

Comments: 23 pages and 5 figures

Subjects: Analysis of PDEs (math.AP)

[305] arXiv:2205.01442 [pdf, other]

Title: Extracting structure from functional expressions for continuous and discrete relaxations of MINLP

Taotao He, Mohit Tawarmalani

Subjects: Optimization and Control (math.OC)

[306] arXiv:2205.01456 [pdf, other]

Title: Schur properties of randomly perturbed sets

Shagnik Das, Charlotte Knierim, Patrick Morris

Comments: 27 pages, 5 figures An extended abstract has appeared in EuroComb2021

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

[307] arXiv:2205.01479 [pdf, other]

Title: Dwork-type congruences and $p$-adic KZ connection

Alexander Varchenko

Comments: Latex, 26 pages. arXiv admin note: substantial text overlap with arXiv:2108.12679

Subjects: Number Theory (math.NT); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA)

[308] arXiv:2205.01483 [pdf, other]

Title: Hilbert Expansion for the Relativistic Landau Equation

Zhimeng Ouyang, Lei Wu, Qinghua Xiao

Comments: 40 pages

Subjects: Analysis of PDEs (math.AP)

[309] arXiv:2205.01485 [pdf, other]

Title: Optimal $(r,\delta)$-LRCs from monomial-Cartesian codes and their subfield-subcodes

Carlos Galindo, Fernando Hernando, Helena Martín-Cruz

Comments: This is a revised version of the manuscript "Optimal $(r,δ)$-LRCs from zero-dimensional affine variety codes and their subfield-subcodes". We have modified the title and the new one is "Optimal $(r,δ)$-LRCs from monomial-Cartesian codes and their subfield-subcodes". This new version contains rather changes, the main ones appear in Section 4

Journal-ref: Des. Codes Cryptogr. 92, 2549-2586 (2024)

Subjects: Information Theory (cs.IT)

[310] arXiv:2205.01487 [pdf, other]

Title: On the $1$d cubic NLS with a non-generic potential

Gong Chen, Fabio Pusateri

Comments: 56 pages

Subjects: Analysis of PDEs (math.AP)

[311] arXiv:2205.01488 [pdf, other]

Title: On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes

Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister, Chi-Wang Shu

Comments: 23 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[312] arXiv:2205.01496 [pdf, other]

Title: Variational properties of the first curve of the Fu\v{c}\'{\i}k spectrum for elliptic operators

Riccardo Molle, Donato Passaseo

Journal-ref: Calc. Var. 54, 3735--3752 (2015)

Subjects: Analysis of PDEs (math.AP)

[313] arXiv:2205.01502 [pdf, other]

Title: Lines of polynomials with alternating Galois group

Nuno Arala

Comments: 27 pages

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

[314] arXiv:2205.01503 [pdf, other]

Title: Uniform vs. Non-Uniform Coarse Quantization in Mutual Information Maximizing LDPC Decoding

Philipp Mohr, Gerhard Bauch

Comments: This work has been submitted to IEEE GLOBECOM 2022

Subjects: Information Theory (cs.IT)

[315] arXiv:2205.01505 [pdf, other]

Title: Information-Theoretically Private Matrix Multiplication From MDS-Coded Storage

Jinbao Zhu, Songze Li, Jie Li

Comments: 16 pages, 6 figures

Subjects: Information Theory (cs.IT)

[316] arXiv:2205.01511 [pdf, other]

Title: On some kinds of factorizable topological groups

Meng Bao, Xiaoquan Xu

Comments: 14 pages

Subjects: General Topology (math.GN)

[317] arXiv:2205.01513 [pdf, other]

Title: Threshold Rates of Codes Ensembles: Linear is Best

Nicolas Resch, Chen Yuan

Comments: 37 pages, 2 figures. Accepted to ICALP 2022

Subjects: Information Theory (cs.IT)

[318] arXiv:2205.01522 [pdf, other]

Title: Upper and Lower Bounds for the Correlation Length of the Two-Dimensional Random-Field Ising Model

Yoav Bar-Nir

Subjects: Probability (math.PR)

[319] arXiv:2205.01525 [pdf, other]

Title: Multiplicity theorems involving functions with non-convex range

Biagio Ricceri

Subjects: Optimization and Control (math.OC)

[320] arXiv:2205.01533 [pdf, other]

Title: Average Age of Information Minimization in Reliable Covert Communication on Time-Varying Channels

Shima Salar Hosseini, Paeiz Azmi, Nader Mokari

Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR); Systems and Control (eess.SY)

[321] arXiv:2205.01535 [pdf, other]

Title: A review of the Separation Theorem of Chebyshev-Markov-Stieltjes for polynomial and some rational Krylov subspaces

Tobias Jawecki

Subjects: Numerical Analysis (math.NA)

[322] arXiv:2205.01537 [pdf, other]

Title: Bratteli diagrams, translation flows and their $C^*$-algebras

Ian F. Putnam, Rodrigo Treviño

Comments: 93 pages, comments welcome

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS)

[323] arXiv:2205.01539 [pdf, other]

Title: Parameterized Vietoris-Rips Filtrations via Covers

Bradley J. Nelson

Comments: 18 pages, 6 figures

Subjects: Algebraic Topology (math.AT); Computational Geometry (cs.CG)

[324] arXiv:2205.01566 [pdf, other]

Title: The exact order of discrepancy for Levin's normal number in base 2

Roswitha Hofer, Gerhard Larcher

Comments: There was a gap in the proof in a previous version. Here now is the corrected version

Subjects: Number Theory (math.NT)

[325] arXiv:2205.01572 [pdf, other]

Title: Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation

E. Jespers, A. Van Antwerpen, L. Vendramin

Comments: 18 pages. In this version, Definition 5.5 and Proposition 5.6 were modified following arXiv:2310.07474. Postprint version

Journal-ref: Commun. Contemp. Math. 25 (2023), no. 09, Paper No. 2250064

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

[326] arXiv:2205.01578 [pdf, other]

Title: A Model of Fluid-Structure and Biochemical Interactions for Applications to Subclinical Leaflet Thrombosis

Aaron Barrett, Jordan A. Brown, Margaret Anne Smith, Andrew Woodward, John P. Vavalle, Arash Kheradvar, Boyce E. Griffith, Aaron L. Fogelson

Comments: 29 pages, 11 figures

Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[327] arXiv:2205.01582 [pdf, other]

Title: Robust low-rank tensor regression via truncation and adaptive Huber loss

Kangqiang Li

Comments: To be continued

Subjects: Statistics Theory (math.ST)

[328] arXiv:2205.01584 [pdf, other]

Title: On Natural Measures of SLE- and CLE-Related Random Fractals

Gefei Cai, Xinyi Li

Comments: 34 pages, 2 figures. Revised several definitions in Section 2 and revised the title

Subjects: Probability (math.PR)

[329] arXiv:2205.01587 [pdf, other]

Title: Hydrodynamic Limits of non-Markovian Interacting Particle Systems on Sparse Graphs

Ankan Ganguly, Kavita Ramanan

Comments: Made significant modifications for clarity. Length: 64 pages

Subjects: Probability (math.PR)

[330] arXiv:2205.01589 [pdf, other]

Title: A dynamic mass transport method for Poisson-Nernst-Planck equations

H. Liu, W. Maimaitiyiming

Subjects: Numerical Analysis (math.NA)

[331] arXiv:2205.01594 [pdf, other]

Title: Optimal Projection Filters

Damiano Brigo

Comments: arXiv admin note: text overlap with arXiv:1610.03887

Subjects: Probability (math.PR); Differential Geometry (math.DG)

[332] arXiv:2205.01596 [pdf, other]

Title: Exotic Quantum Difference Equations and Integral Solutions

Hunter Dinkins

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

[333] arXiv:2205.01598 [pdf, other]

Title: Level-based Blocking for Sparse Matrices: Sparse Matrix-Power-Vector Multiplication

Christie L. Alappat, Georg Hager, Olaf Schenk, Gerhard Wellein

Comments: 18 pages, 19 figures, 3 tables

Subjects: Numerical Analysis (math.NA); Distributed, Parallel, and Cluster Computing (cs.DC); Performance (cs.PF)

[334] arXiv:2205.01599 [pdf, other]

Title: A general scheme for separably reducible properties

M. Fabian, A. Ioffe, J.P. Revalski

Subjects: Functional Analysis (math.FA)

[335] arXiv:2205.01611 [pdf, other]

Title: Improved Weakly Private Information Retrieval Codes

Chengyuan Qian, Ruida Zhou, Chao Tian, Tie Liu

Comments: 6 pages 1 figure, ISIT 2022 accepted

Subjects: Information Theory (cs.IT)

[336] arXiv:2205.01612 [pdf, other]

Title: A New Approach to Compute Information Theoretic Outer Bounds and Its Application to Regenerating Codes

Wenjing Chen, Chao Tian

Comments: 6 pages, 3 figures, accepted ISIT 2022

Subjects: Information Theory (cs.IT)

[337] arXiv:2205.01615 [pdf, other]

Title: Global semiconcavity of solutions to first-order Hamilton-Jacobi equations with state constraints

Yuxi Han

Subjects: Analysis of PDEs (math.AP)

[338] arXiv:2205.01617 [pdf, other]

Title: Functors in Lorentzian geometry -- three variations on a theme

Olaf Müller

Comments: 15 pages. The article is a contribution to the conference volume of the conference "Singularity theorems, causality and all that; a tribute to Roger Penrose" (2021) and is in large parts an overview article but also contains some new results

Subjects: Differential Geometry (math.DG)

[339] arXiv:2205.01618 [pdf, other]

Title: GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back

Di Yang

Comments: 24 pages

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Exactly Solvable and Integrable Systems (nlin.SI)

[340] arXiv:2205.01633 [pdf, other]

Title: A Zeroth-order Proximal Stochastic Gradient Method for Weakly Convex Stochastic Optimization

Spyridon Pougkakiotis, Dionysios S. Kalogerias

Subjects: Optimization and Control (math.OC)

[341] arXiv:2205.01635 [pdf, other]

Title: Coarse sheaf cohomology

Elisa Hartmann

Comments: 41 pages

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)

[342] arXiv:2205.01642 [pdf, other]

Title: Exact renormalization groups and transportation of measures

Yair Shenfeld

Comments: Minor corrections

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

[343] arXiv:2205.01645 [pdf, other]

Title: On a conjecture that strengthens the $k$-factor case of Kundu's $k$-factor Theorem

James M. Shook

Comments: 27 pages, 2 figures

Subjects: Combinatorics (math.CO)

[344] arXiv:2205.01653 [pdf, other]

Title: A Counterexample to the Generalisation of Witten's Conjecture

Rhea Palak Bakshi

Comments: 10 pages, 6 figures

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

[345] arXiv:2205.01658 [pdf, other]

Title: Some new invariants of Noetherian local rings related to square of the maximal ideal

Dylan C. Beck, Souvik Dey

Comments: First draft. 40 pages. Comments are Welcome!

Subjects: Commutative Algebra (math.AC)

[346] arXiv:2205.01660 [pdf, other]

Title: On the Lie algebra structure of integrable derivations

Benjamin Briggs, Lleonard Rubio y Degrassi

Comments: 17 pages, comments welcome

Subjects: Rings and Algebras (math.RA)

[347] arXiv:2205.01664 [pdf, other]

Title: An Efficient Method To Generate A Discrete Uniform Distribution Using A Biased Random Source

Xiaoyu Lei

Subjects: Probability (math.PR)

[348] arXiv:2205.01708 [pdf, other]

Title: Convergence Analysis of Waveform Relaxation Method to Compute Coupled Advection-Diffusion-Reaction Equations

Wenbin Dong, Hansong Tang

Comments: 20 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[349] arXiv:2205.01711 [pdf, other]

Title: On the Level Crossing Rate of Fluid Antenna Systems

Priyadarshi Mukherjee, Constantinos Psomas, Ioannis Krikidis

Comments: To appear in IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC) 2022

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

[350] arXiv:2205.01734 [pdf, other]

Title: Squared distance matrices of trees with matrix weights

Iswar Mahato, M. Rajesh Kannan

Comments: Preliminary version. Comments are welcome. 17 pages

Subjects: Combinatorics (math.CO)