Mathematics

Authors and titles for June 2022

[2001] arXiv:2206.09804 [pdf, other]

Title: The cap set problem: Up to dimension 7

Henry Robert Thackeray (University of Pretoria)

Comments: 16 pages, 4 figures

Subjects: Combinatorics (math.CO)

[2002] arXiv:2206.09805 [pdf, other]

Title: Asymptotic Preserving Discontinuous Galerkin Methods for a Linear Boltzmann Semiconductor Model

Victor DeCaria, Cory Hauck, Stefan Schnake

Subjects: Numerical Analysis (math.NA)

[2003] arXiv:2206.09808 [pdf, other]

Title: On the Span of $l$ Distance Coloring of Infinite Hexagonal Grid

Sasthi C. Ghosh, Subhasis Koley

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)

[2004] arXiv:2206.09824 [pdf, other]

Title: The Carleman convexification method for Hamilton-Jacobi equations on the whole space

Huynh P. N. Le, Thuy T. Le, Loc H. Nguyen

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[2005] arXiv:2206.09825 [pdf, other]

Title: Sharp function and weighted $L^{p}$ estimates for pseudo-differential operators with symbols in general H\"{o}rmander classes

Guangqing Wang

Subjects: Analysis of PDEs (math.AP)

[2006] arXiv:2206.09826 [pdf, html, other]

Title: Perturbation theory for nonlinear Schrodinger equations

Andrea Sacchetti

Comments: 22 pages, 2 figures

Journal-ref: Published on Nonlinearity (36) 6048, 2023

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[2007] arXiv:2206.09828 [pdf, other]

Title: On Rational Convexity of Totally Real Sets

Blake J. Boudreaux, Rasul Shafikov

Subjects: Complex Variables (math.CV)

[2008] arXiv:2206.09829 [pdf, other]

Title: Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincar\'e Mappings

Paolo Ricci, Ermanno Citraro, Adrien Merlini, Francesco P. Andriulli

Subjects: Numerical Analysis (math.NA)

[2009] arXiv:2206.09830 [pdf, other]

Title: Zigzags in combinatorial tetrahedral chains and the associated Markov chain

Adam Tyc

Subjects: Combinatorics (math.CO)

[2010] arXiv:2206.09832 [pdf, other]

Title: An inhomogeneous porous medium equation with large data: well-posedness

Matteo Muratori, Troy Petitt

Subjects: Analysis of PDEs (math.AP)

[2011] arXiv:2206.09833 [pdf, other]

Title: The P\'olya-Szeg\H{o} inequality for smoothing rearrangements

Gabriele Bianchi, Richard J. Gardner, Paolo Gronchi, Markus Kiderlen

Comments: 49 pages

Journal-ref: J. Funct. Anal. (2024)

Subjects: Functional Analysis (math.FA); Metric Geometry (math.MG)

[2012] arXiv:2206.09838 [pdf, other]

Title: On the automatic regularity of derivations from Riesz subalgebras of $\cal L^r(X)$

Ariel Blanco

Comments: 24 pages

Subjects: Functional Analysis (math.FA)

[2013] arXiv:2206.09844 [pdf, other]

Title: Heavy-traffic single-server queues and the transform method

M. A. A. Boon, A. J. E. M. Janssen, J. S. H. van Leeuwaarden

Subjects: Probability (math.PR)

[2014] arXiv:2206.09862 [pdf, other]

Title: Propagation of chaos for a stochastic particle system modelling epidemics

Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella

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

[2015] arXiv:2206.09865 [pdf, other]

Title: The exact worst-case convergence rate of the alternating direction method of multipliers

Moslem Zamani, Hadi Abbaszadehpeivasti, Etienne de Klerk

Subjects: Optimization and Control (math.OC)

[2016] arXiv:2206.09869 [pdf, other]

Title: On the inverse Poletsky inequality with cotangent dilatation

Evgeny Sevost'yanov, Valery Targonskii

Comments: in Ukrainian language

Subjects: Complex Variables (math.CV)

[2017] arXiv:2206.09874 [pdf, other]

Title: The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication

Ashay Burungale, Matthias Flach

Comments: To appear in Cambridge Journal of Math

Subjects: Number Theory (math.NT)

[2018] arXiv:2206.09876 [pdf, other]

Title: Dual Linear Programming Bounds for Sphere Packing via Discrete Reductions

Rupert Li

Comments: 20 pages. Updated to include non-sharpness in dimension 5

Subjects: Metric Geometry (math.MG); Information Theory (cs.IT); Combinatorics (math.CO)

[2019] arXiv:2206.09879 [pdf, other]

Title: Spectra of generators of Markovian evolution in the thermodynamic limit: From non-Hermitian to full evolution via tridiagonal Laurent matrices

Frederik Ravn Klausen, Albert H. Werner

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[2020] arXiv:2206.09882 [pdf, other]

Title: An energy minimization approach to twinning with variable volume fraction

Sergio Conti, Robert Kohn, Oleksandr Misiats

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

[2021] arXiv:2206.09890 [pdf, other]

Title: Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior

Yekaterina Epshteyn, Chang Liu, Chun Liu, Masashi Mizuno

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[2022] arXiv:2206.09901 [pdf, other]

Title: Only Tails Matter: Average-Case Universality and Robustness in the Convex Regime

Leonardo Cunha, Gauthier Gidel, Fabian Pedregosa, Damien Scieur, Courtney Paquette

Comments: To be published in ICML 2022

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

[2023] arXiv:2206.09904 [pdf, html, other]

Title: On Waring numbers of henselian rings

Tomasz Kowalczyk, Piotr Miska

Comments: 34 pages, final version, to appear in Mathematika

Subjects: Commutative Algebra (math.AC); Number Theory (math.NT)

[2024] arXiv:2206.09905 [pdf, other]

Title: An It\^o-Wentzell formula for rough paths

Rafael A. Castrequini, Pedro J. Catuogno, Alvaro E. Machado Hernandez

Subjects: Probability (math.PR)

[2025] arXiv:2206.09908 [pdf, other]

Title: Learning Optimal Flows for Non-Equilibrium Importance Sampling

Yu Cao, Eric Vanden-Eijnden

Subjects: Statistics Theory (math.ST); Machine Learning (stat.ML)

[2026] arXiv:2206.09911 [pdf, other]

Title: Scaling Symmetries, Contact Reduction and Poincar\'e's dream

Alessandro Bravetti, Connor Jackman, David Sloan

Comments: 25 pages, 3 appendices, comments are welcome

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Symplectic Geometry (math.SG); Classical Physics (physics.class-ph)

[2027] arXiv:2206.09913 [pdf, other]

Title: $l^1$-higher index, $l^1$-higher rho invariant and cyclic cohomology

Jinmin Wang, Zhizhang Xie, Guoliang Yu

Comments: 49 pages

Subjects: K-Theory and Homology (math.KT); Operator Algebras (math.OA)

[2028] arXiv:2206.09916 [pdf, other]

Title: The fastest linearly converging discrete-time average consensus using buffered information

Amir-Salar Esteki, Hossein Moradian, Solmaz S. Kia

Comments: 6 pages, Europe Control Conference

Subjects: Optimization and Control (math.OC); Multiagent Systems (cs.MA)

[2029] arXiv:2206.09928 [pdf, other]

Title: How smooth can the convex hull of a L\'evy path be?

David Bang, Jorge González Cázares, Aleksandar Mijatović

Comments: Revised abstract, 34 pages, 3 figures, short YouTube video: this https URL

Subjects: Probability (math.PR)

[2030] arXiv:2206.09937 [pdf, other]

Title: The norm of the resolvent of the Volterra operator

Thomas Ransford

Comments: 7 pages; 2 figures

Subjects: Functional Analysis (math.FA)

[2031] arXiv:2206.09942 [pdf, other]

Title: A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization

Tianshu Wen, Matthew J. Zahr

Comments: 40 pages, 14 figures, 4 tables

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[2032] arXiv:2206.09947 [pdf, other]

Title: Norms of polynomials of the Volterra operator

Thomas Ransford, Nathan Walsh

Comments: 14 pages, 8 figures

Subjects: Functional Analysis (math.FA)

[2033] arXiv:2206.09955 [pdf, other]

Title: The Sparse-Grid-Based Adaptive Spectral Koopman Method

Bian Li, Yue Yu, Xiu Yang

Comments: 21 pages, 5 figures

Subjects: Dynamical Systems (math.DS)

[2034] arXiv:2206.09963 [pdf, html, other]

Title: Sample Average Approximation for Stochastic Programming with Equality Constraints

Thomas Lew, Riccardo Bonalli, Marco Pavone

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Statistics Theory (math.ST)

[2035] arXiv:2206.09970 [pdf, other]

Title: The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients

Wei Liu, Xuerong Mao, Yue Wu

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

[2036] arXiv:2206.09973 [pdf, other]

Title: Two-sided Robustly Testable Codes

Gleb Kalachev, Pavel Panteleev

Comments: 26 pages, 3 figures

Subjects: Information Theory (cs.IT)

[2037] arXiv:2206.09982 [pdf, other]

Title: Fast calibration of weak FARIMA models

Samir Ben Hariz, Alexandre Brouste, Youssef Esstafa, Marius Soltane

Comments: 26 pages, 5 figures. arXiv admin note: text overlap with arXiv:1910.07213

Subjects: Statistics Theory (math.ST)

[2038] arXiv:2206.09986 [pdf, other]

Title: Elliptic curves, ACM bundles and Ulrich bundles on prime Fano threefolds

Ciro Ciliberto, Flaminio Flamini, Andreas Leopold Knutsen

Comments: 27 pages. Comments are very welcome!

Subjects: Algebraic Geometry (math.AG)

[2039] arXiv:2206.09989 [pdf, other]

Title: Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity

Montie Avery, Matt Holzer, Arnd Scheel

Comments: 35 pages, 10 figures

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[2040] arXiv:2206.09996 [pdf, other]

Title: Martingales on Principal Fiber Bundles

Pedro Catuogno, Simão N. Stelmastchuk

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

[2041] arXiv:2206.10001 [pdf, other]

Title: Nodal solutions for the weighted biharmonic equation with critical exponential growth

Brahim Dridi, Rachaid Jaidane

Comments: The paper containing errors

Subjects: Analysis of PDEs (math.AP)

[2042] arXiv:2206.10002 [pdf, other]

Title: The $\mu$-neutral fractional multi-delayed differential equations

Mustafa Aydin, Nazim I. Mahmudov

Subjects: Dynamical Systems (math.DS)

[2043] arXiv:2206.10003 [pdf, other]

Title: Folding rotationally symmetrical tableaux via webs

Kevin Purbhoo, Shelley Wu

Comments: 30 pages, 20 figures, minor corrections (references and typographical errors)

Subjects: Combinatorics (math.CO)

[2044] arXiv:2206.10004 [pdf, other]

Title: Quantitative bounds for product of simplices in subsets of the unit cube

Polona Durcik, Mario Stipčić

Comments: 14 pages

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

[2045] arXiv:2206.10008 [pdf, html, other]

Title: Watkins's conjecture for quadratic twists of Elliptic Curves with Prime Power Conductor

Jerson Caro

Comments: 13 pages, to appear Journal de Theorie des Nombres de Bordeaux

Subjects: Number Theory (math.NT)

[2046] arXiv:2206.10010 [pdf, other]

Title: Extremal graph realizations and graph Laplacian eigenvalues

Braxton Osting

Comments: 14 pages, 5 figures

Subjects: Optimization and Control (math.OC); Discrete Mathematics (cs.DM)

[2047] arXiv:2206.10017 [pdf, other]

Title: Pattern bounds for principal specializations of $\beta$-Grothendieck Polynomials

Hugh Dennin

Comments: 18 pages

Subjects: Combinatorics (math.CO)

[2048] arXiv:2206.10018 [pdf, other]

Title: Propagation of chaos for maxima of particle systems with mean-field drift interaction

Nikolaos Kolliopoulos, Martin Larsson, Zeyu Zhang

Comments: 35 pages with references included

Subjects: Probability (math.PR)

[2049] arXiv:2206.10020 [pdf, other]

Title: On the nodal structures of random fields -- a decade of results

Igor Wigman

Comments: 29 pages, minor corrections

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Number Theory (math.NT)

[2050] arXiv:2206.10031 [pdf, other]

Title: Semisimple Field Theories Detect Stable Diffeomorphism

David Reutter, Christopher Schommer-Pries

Comments: 63 pages

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