Mathematics

Authors and titles for July 2022

[2601] arXiv:2207.12343 [pdf, html, other]

Title: Blow-up estimates for a system of semilinear SPDEs driven by mixed fractional Brownian motions

S. Sankar, Manil T. Mohan, S. Karthikeyan

Comments: arXiv admin note: text overlap with arXiv:2206.12359

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

[2602] arXiv:2207.12344 [pdf, other]

Title: Integral and boundary estimates for critical metrics of the volume functional

Rafael Diógenes, Neilha Pinheiro, Ernani Ribeiro Jr

Comments: To appear in Israel Journal of Mathematics

Subjects: Differential Geometry (math.DG)

[2603] arXiv:2207.12347 [pdf, other]

Title: Degrees of maps and multiscale geometry

Aleksandr Berdnikov, Larry Guth, Fedor Manin

Comments: 49 pages, 3 figures. Theorem C was proved incorrectly in v1; v2 corrects the proof and generalizes the theorem. Other corrections and clarifications are given in response to a referee report

Journal-ref: Forum Math. Pi, vol. 12 (2024) art. e2

Subjects: Metric Geometry (math.MG); Algebraic Topology (math.AT); Differential Geometry (math.DG)

[2604] arXiv:2207.12351 [pdf, other]

Title: Theta functions, fourth moments of eigenforms, and the sup-norm problem II

Ilya Khayutin, Paul D. Nelson, Raphael S. Steiner

Comments: 49 pages

Journal-ref: Forum of Mathematics, Pi , Volume 12 , 2024 , e11

Subjects: Number Theory (math.NT)

[2605] arXiv:2207.12363 [pdf, other]

Title: Self-similar spirals for the generalized surface quasi-geostrophic equations

Claudia García, Javier Gómez-Serrano

Comments: 61 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[2606] arXiv:2207.12365 [pdf, other]

Title: Fractional Burgers equation with singular initial condition

Tomasz Jakubowski, Grzegorz Serafin

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[2607] arXiv:2207.12366 [pdf, other]

Title: The arithmetical combinatorics of $k,l$-regular partitions

Isaac Konan

Comments: 8 pp

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

[2608] arXiv:2207.12372 [pdf, other]

Title: Zassenhaus and lower central filtrations of pro-$p$ groups considered as modules

Oussama Hamza

Comments: 27 pages, final version as it will appear in Journal of Algebra

Subjects: Group Theory (math.GR); Number Theory (math.NT)

[2609] arXiv:2207.12378 [pdf, other]

Title: Undecidability of polynomial inequalities in weighted graph homomorphism densities

Grigoriy Blekherman, Annie Raymond, Fan Wei

Comments: 14 pages, 2 figures

Subjects: Combinatorics (math.CO)

[2610] arXiv:2207.12382 [pdf, html, other]

Title: On Confidence Sequences for Bounded Random Processes via Universal Gambling Strategies

J. Jon Ryu, Alankrita Bhatt

Comments: 20 pages, 3 figures. IEEE Transactions on Information Theory (to appear)

Subjects: Probability (math.PR); Information Theory (cs.IT); Methodology (stat.ME)

[2611] arXiv:2207.12402 [pdf, other]

Title: Moore-Penrose inverse of distance Laplacians of trees are Z matrices

R. Balaji, Vinayak Gupta

Subjects: Combinatorics (math.CO)

[2612] arXiv:2207.12407 [pdf, other]

Title: A primality test for $Kp^n+1$ numbers and a generalization of Safe Primes and Sophie Germain Primes

A. Ramzy

Subjects: Number Theory (math.NT)

[2613] arXiv:2207.12417 [pdf, other]

Title: Tensor hierarchy algebras and restricted associativity

Martin Cederwall, Jakob Palmkvist

Comments: 16 pages

Subjects: Rings and Algebras (math.RA); High Energy Physics - Theory (hep-th); Representation Theory (math.RT)

[2614] arXiv:2207.12433 [pdf, other]

Title: H\"older continuity of the convex minorant of a L\'evy process

Jorge González Cázares, David Kramer-Bang, Aleksandar Mijatović

Comments: 12 pages, short YouTube presentation: this https URL. This version gives a complete characterisation of the Hölder continuity in terms of the Blumenthal-Getoor index when it is less than 2, improving the original result. The paper will appear in ECP

Subjects: Probability (math.PR)

[2615] arXiv:2207.12439 [pdf, html, other]

Title: Equidistribution and independence of Gauss sums

Antonio Rojas-León

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

[2616] arXiv:2207.12449 [pdf, other]

Title: Positive Definability Patterns

Ori Segel

Comments: 66 pages

Subjects: Logic (math.LO)

[2617] arXiv:2207.12453 [pdf, other]

Title: Change point inference in high-dimensional regression models under temporal dependence

Haotian Xu, Daren Wang, Zifeng Zhao, Yi Yu

Subjects: Statistics Theory (math.ST); Methodology (stat.ME)

[2618] arXiv:2207.12460 [pdf, other]

Title: A comprehensive and biophysically detailed computational model of the whole human heart electromechanics

Marco Fedele, Roberto Piersanti, Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Michele Bucelli, Alberto Zingaro, Luca Dede', Alfio Quarteroni

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE); Distributed, Parallel, and Cluster Computing (cs.DC); Medical Physics (physics.med-ph)

[2619] arXiv:2207.12462 [pdf, other]

Title: Lyapunov stability tests for linear time-delay systems

Sabine Mondié, Alexey Egorov, Marco A. Gomez

Comments: 19 pages, 4 figures, 1 table, journal paper submitted to Annual Reviews in Control

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

[2620] arXiv:2207.12465 [pdf, other]

Title: Stability version of Dirac's theorem and its applications for generalized Tur\'an problems

Xiutao Zhu, Ervin Győri, Zhen He, Zequn Lv, Nika Salia, Chuanqi Xiao

Subjects: Combinatorics (math.CO)

[2621] arXiv:2207.12469 [pdf, other]

Title: Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-B Artin groups

Anh Trong Nam Hoang

Comments: 46 pages, 7 figures. Minor edits. To appear in Mathematische Zeitschrift

Subjects: Algebraic Topology (math.AT); Quantum Algebra (math.QA)

[2622] arXiv:2207.12472 [pdf, other]

Title: Existence and multiplicity results for a class of Kirchhoff-Choquard equations with a generalized sign-changing potential

Eduardo de Souza Böer, Olímpio Hiroshi Miyagaki, Patrizia Pucci

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[2623] arXiv:2207.12480 [pdf, other]

Title: Exponential Consistency of M-estimators in Generalized Linear Mixed Models

Andrea M. Bratsberg, Magne Thoresen, Abhik Ghosh

Comments: Pre-print; under review

Subjects: Statistics Theory (math.ST)

[2624] arXiv:2207.12481 [pdf, other]

Title: Fock representation of free convolution powers

Michael Anshelevich, Jacob Mashburn

Comments: v2: minor revision following comments by the referee

Subjects: Operator Algebras (math.OA)

[2625] arXiv:2207.12483 [pdf, other]

Title: A cone conjecture for log Calabi-Yau surfaces

Jennifer Li

Comments: 26 pages, 12 figures. Comments welcome!

Subjects: Algebraic Geometry (math.AG)

[2626] arXiv:2207.12487 [pdf, other]

Title: $3$-Selmer group, ideal class groups and cube sum problem

Somnath Jha, Dipramit Majumdar, Pratiksha Shingavekar

Subjects: Number Theory (math.NT)

[2627] arXiv:2207.12490 [pdf, other]

Title: Clusters and semistable models of hyperelliptic curves in the wild case

Leonardo Fiore, Jeffrey Yelton

Comments: 85 pages, 9 sections, 8 figures, 2 tables. For this submission, more minor mistakes and typos have been corrected, and a previous misstatement in Theorem 1.5(c) has been modified

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

[2628] arXiv:2207.12493 [pdf, html, other]

Title: Probabilistic Galois Theory -- The Square Discriminant Case

Lior Bary-Soroker, Or Ben-Porath, Vlad Matei

Subjects: Number Theory (math.NT)

[2629] arXiv:2207.12500 [pdf, other]

Title: The Hurewicz theorem for cubical homology

Daniel Carranza, Chris Kapulkin, Andrew Tonks

Comments: Math. Z. (to appear); 17 pages; minor revision

Subjects: Algebraic Topology (math.AT)

[2630] arXiv:2207.12517 [pdf, other]

Title: Scenario-based Stochastic MPC for systems with uncertain dynamics

Francesco Micheli, John Lygeros

Subjects: Optimization and Control (math.OC)

[2631] arXiv:2207.12518 [pdf, other]

Title: The Automorphism Group of the Infinite-Rank Free Group is Coarsely Bounded

George Domat, Hannah Hoganson, Sanghoon Kwak

Comments: 4 pages. v2: Incorporated referee's comment. To appear in New York Journal of Mathematics

Journal-ref: New York J. Math. 28 (2022), 1506-1511

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

[2632] arXiv:2207.12519 [pdf, other]

Title: A Three-phase Power Flow Model and Balanced Network Analysis

Steven H. Low

Comments: In proceedings of the 11th Bulk Power Systems Dynamics and Control Symposium (IREP 2022), July 25-30, 2022, Banff, Canada

Subjects: Optimization and Control (math.OC)

[2633] arXiv:2207.12523 [pdf, other]

Title: Obstructions to some injective oriented colourings

Russell Campbell, Nancy E. Clarke, Gary MacGillivray

Comments: 19 pages, 4 figures

Subjects: Combinatorics (math.CO)

[2634] arXiv:2207.12524 [pdf, other]

Title: The Kac formula and Poincar\'{e} recurrence theorem in Riesz spaces

Youssef Azouzi, Mohamed Amine Ben Amor, Jonathan Homann, Marwa Masmoudi, Bruce A. Watson

Subjects: Probability (math.PR); Dynamical Systems (math.DS); Functional Analysis (math.FA)

[2635] arXiv:2207.12526 [pdf, other]

Title: Complexity of injective homomorphisms to small tournaments, and of injective oriented colourings

Russell J. Campbell, Nancy E. Clarke, Gary MacGillivray

Comments: 15 pages, 2 figures

Subjects: Combinatorics (math.CO)

[2636] arXiv:2207.12528 [pdf, other]

Title: Switching $m$-edge-coloured graphs using non-Abelian groups

Chris Duffy, Gary MacGillivray, Ben Tremblay

Comments: 14 pages

Subjects: Combinatorics (math.CO)

[2637] arXiv:2207.12529 [pdf, other]

Title: Approximate Real Symmetric Tensor Rank

Alperen A. Ergür, Jesus Rebollo Bueno, Petros Valettas

Comments: Fixed few typos and error in writing of Algorithm 1. To appear in Arnold Mathematical Journal

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Symbolic Computation (cs.SC); Commutative Algebra (math.AC); Optimization and Control (math.OC)

[2638] arXiv:2207.12531 [pdf, other]

Title: Distant 2-Colored Components on Embeddings Part I: Connecting Faces

Joshua Nevin

Comments: 48 pages, 9 figures, 1 table

Subjects: Combinatorics (math.CO)

[2639] arXiv:2207.12541 [pdf, other]

Title: Tropical expansions and toric variety bundles

Francesca Carocci, Navid Nabijou

Comments: 27 pages, comments welcome. v2: removed smoothness hypotheses

Subjects: Algebraic Geometry (math.AG)

[2640] arXiv:2207.12542 [pdf, html, other]

Title: A Randomized Algorithm for Tensor Singular Value Decomposition using an Arbitrary Number of Passes

Salman Ahmadi-Asl, Anh-Huy Phan, Andrzej Cichocki

Subjects: Numerical Analysis (math.NA)

[2641] arXiv:2207.12553 [pdf, other]

Title: An elementary alternative to PFH spectral invariants

Oliver Edtmair

Subjects: Symplectic Geometry (math.SG)

[2642] arXiv:2207.12557 [pdf, other]

Title: Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot's consolidation model

Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen

Comments: 25 pages

Subjects: Numerical Analysis (math.NA)

[2643] arXiv:2207.12561 [pdf, other]

Title: Complex curves in hypercomplex nilmanifolds with H-solvable Lie algebras

Yulia Gorginyan

Comments: version 1.0, 19 pages

Journal-ref: Journal of Geometry and Physics Volume 192, October 2023, 104900

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

[2644] arXiv:2207.12568 [pdf, other]

Title: Hybridizable discontinuous Galerkin methods for the coupled Stokes--Biot problem

Aycil Cesmelioglu, Jeonghun J. Lee, Sander Rhebergen

Comments: 30 pages

Subjects: Numerical Analysis (math.NA)

[2645] arXiv:2207.12569 [pdf, other]

Title: Characterizing $S$-Artinianness by uniformity

Xiaolei Zhang, Wei Qi

Subjects: Commutative Algebra (math.AC)

[2646] arXiv:2207.12573 [pdf, other]

Title: Degenerations of non-simple abelian surfaces

Nelson Alvarado

Subjects: Algebraic Geometry (math.AG)

[2647] arXiv:2207.12584 [pdf, other]

Title: On Deep Holes of Elliptic Curve Codes

Jun Zhang, Daqing Wan

Comments: 19 pages

Subjects: Information Theory (cs.IT)

[2648] arXiv:2207.12590 [pdf, other]

Title: q-Whittaker functions, finite fields, and Jordan forms

Steven N. Karp, Hugh Thomas

Comments: 69 pages. v2: Added Remark 5.11

Subjects: Combinatorics (math.CO); Probability (math.PR); Representation Theory (math.RT)

[2649] arXiv:2207.12593 [pdf, other]

Title: Equivariant topological slice disks and negative amphichiral knots

Keegan Boyle, Wenzhao Chen

Subjects: Geometric Topology (math.GT)

[2650] arXiv:2207.12596 [pdf, other]

Title: Canonicity in power and modal logics of finite achronal width

Robert Goldblatt, Ian Hodkinson

Journal-ref: The Review of Symbolic Logic 17 (2024) 705-735

Subjects: Logic (math.LO); Logic in Computer Science (cs.LO)