Mathematics

Authors and titles for February 2022

[201] arXiv:2202.00936 [pdf, other]

Title: On the metric theory of approximations by reduced fractions: a quantitative Koukoulopoulos-Maynard theorem

Christoph Aistleitner, Bence Borda, Manuel Hauke

Comments: 28 pages

Subjects: Number Theory (math.NT)

[202] arXiv:2202.00938 [pdf, other]

Title: Fourier characterizations and non-triviality of Gelfand-Shilov spaces, with applications to Toeplitz operators

Albin Petersson

Comments: 18 pages. This is the first version and it is expected that there will be some changes in future versions

Subjects: Functional Analysis (math.FA)

[203] arXiv:2202.00940 [pdf, other]

Title: Ballistic transport in periodic and random media

Anne Boutet de Monvel, Mostafa Sabri

Comments: 35 pages, no figures

Subjects: Mathematical Physics (math-ph)

[204] arXiv:2202.00942 [pdf, other]

Title: Length-minimizing level curves via calibrations

Kwok-Kun Kwong, Hojoo Lee

Comments: Typos corrected

Subjects: Differential Geometry (math.DG); Classical Analysis and ODEs (math.CA)

[205] arXiv:2202.00944 [pdf, other]

Title: Inverse problems for locally perturbed lattices -- Discrete Hamiltonian and quantum graph

Emilia Blåsten, Pavel Exner, Hiroshi Isozaki, Matti Lassas, Jinpeng Lu

Comments: 36 pages, 4 figures

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

[206] arXiv:2202.00947 [pdf, other]

Title: Uniqueness of Hahn--Banach extensions and some of its variants

Soumitra Daptari, Tanmoy Paul

Subjects: Functional Analysis (math.FA)

[207] arXiv:2202.00954 [pdf, other]

Title: Approximative Algorithms for Multi-Marginal Optimal Transport and Free-Support Wasserstein Barycenters

Johannes von Lindheim

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[208] arXiv:2202.00955 [pdf, other]

Title: Asynchronous Decentralized Learning over Unreliable Wireless Networks

Eunjeong Jeong, Matteo Zecchin, Marios Kountouris

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

[209] arXiv:2202.00956 [pdf, other]

Title: Investigation of Alternative Measures for Mutual Information

Bulut Kuskonmaz, Jaron Skovsted Gundersen, Rafal Wisniewski

Comments: Full version of paper accepted for presentation at CAO22 (18th IFAC Workshop on Control Applications of Optimization)

Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR)

[210] arXiv:2202.00959 [pdf, other]

Title: Efficient Random Walks on Riemannian Manifolds

Simon Schwarz, Michael Herrmann, Anja Sturm, Max Wardetzky

Comments: 14 pages; v3: published version

Journal-ref: Foundations of Computational Mathematics (2023)

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

[211] arXiv:2202.00968 [pdf, other]

Title: Optimal high-dimensional and nonparametric distributed testing under communication constraints

Botond Szabó, Lasse Vuursteen, Harry van Zanten

Comments: 53 pages

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

[212] arXiv:2202.00973 [pdf, other]

Title: Performance Analysis and Optimization for Jammer-Aided Multi-Antenna UAV Covert Communication

Hongyang Du, Dusit Niyato, Yuan-ai Xie, Yanyu Cheng, Jiawen Kang, Dong In Kim

Subjects: Information Theory (cs.IT); Performance (cs.PF)

[213] arXiv:2202.00977 [pdf, html, other]

Title: HMC and underdamped Langevin united in the unadjusted convex smooth case

Nicolaï Gouraud, Pierre Le Bris, Adrien Majka, Pierre Monmarché

Subjects: Probability (math.PR); Statistics Theory (math.ST)

[214] arXiv:2202.00982 [pdf, other]

Title: Robust approach for comparing two dependent normal populations through Wald-type tests based on R\'enyi's pseudodistance estimators

María Jaenada, Elena Castilla, Nirian Martín, Leandro Pardo

Subjects: Statistics Theory (math.ST)

[215] arXiv:2202.00987 [pdf, other]

Title: Splitting fields of mixed Cayley graphs over abelian groups

Xueyi Huang, Lu Lu, Katja Mönius

Comments: 12 pages

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

[216] arXiv:2202.00989 [pdf, other]

Title: Coding for Sensing: An Improved Scheme for Integrated Sensing and Communication over MACs

Mehrasa Ahmadipour, Michele Wigger, Mari Kobayashi

Subjects: Information Theory (cs.IT)

[217] arXiv:2202.00992 [pdf, other]

Title: Tight Convergence Rate Bounds for Optimization Under Power Law Spectral Conditions

Maksim Velikanov, Dmitry Yarotsky

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Neural and Evolutionary Computing (cs.NE)

[218] arXiv:2202.01001 [pdf, other]

Title: Non-monotonicity for the 3D magnetic Robin Laplacian

Germán Miranda

Comments: 7 pages, 1 figure

Subjects: Spectral Theory (math.SP)

[219] arXiv:2202.01004 [pdf, other]

Title: Relating dissociation, independence, and matchings

Felix Bock, Johannes Pardey, Lucia D. Penso, Dieter Rautenbach

Subjects: Combinatorics (math.CO)

[220] arXiv:2202.01005 [pdf, other]

Title: Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction

Raphaël Côte, Radu Ignat

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

[221] arXiv:2202.01006 [pdf, other]

Title: Chordal directed graphs are not $\chi$-bounded

Pierre Aboulker, Nicolas Bousquet, Rémi de Verclos

Subjects: Combinatorics (math.CO)

[222] arXiv:2202.01007 [pdf, other]

Title: Convexity of complements of limit sets for holomorphic foliations on surfaces

Bertrand Deroin (CY), Christophe Dupont (IRMAR, UNIV-RENNES), Victor Kleptsyn (IRMAR, UNIV-RENNES)

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[223] arXiv:2202.01008 [pdf, other]

Title: Precoding and Decoding Schemes for Downlink MIMO-RSMA with Simultaneous Diagonalization and User Exclusion

Rouaa Diab, Aravindh Krishnamoorthy, Robert Schober

Comments: 7pp, 2 figures, accepted to the Workshop on Rate-Splitting Multiple Access for 6G at the IEEE Intl. Commun. Conf. (ICC) 2022

Journal-ref: 2022 IEEE International Conference on Communications Workshops (ICC Workshops)

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

[224] arXiv:2202.01009 [pdf, other]

Title: Mean-Field Langevin Dynamics: Exponential Convergence and Annealing

Lénaïc Chizat

Subjects: Optimization and Control (math.OC)

[225] arXiv:2202.01012 [pdf, other]

Title: Tug-of-war with Kolmogorov

Carmina Fjellström, Kaj Nyström, Matias Vestberg

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

[226] arXiv:2202.01018 [pdf, other]

Title: \'Equations pour le premier rev\^etement de l'espace sym\'etrique de Drinfeld

Damien Junger

Comments: 35 pages, in french, new version : acknoledgement added

Subjects: Number Theory (math.NT)

[227] arXiv:2202.01026 [pdf, other]

Title: A perturbation result for a Neumann problem in a periodic domain

Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino

Subjects: Analysis of PDEs (math.AP)

[228] arXiv:2202.01033 [pdf, other]

Title: On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level

Yasmine Beck, Daniel Bienstock, Martin Schmidt, Johannes Thürauf

Subjects: Optimization and Control (math.OC)

[229] arXiv:2202.01041 [pdf, other]

Title: Cyclic sums of comparative indices and their applications

Julia V. Elyseeva

Subjects: Symplectic Geometry (math.SG); Dynamical Systems (math.DS)

[230] arXiv:2202.01047 [pdf, other]

Title: Fractional double phase Robin problem involving variable order-exponents and Logarithm-type nonlinearity

Reshmi Biswas, Anouar Bahrouni, Alessio Fiscella

Comments: No comments

Subjects: Analysis of PDEs (math.AP)

[231] arXiv:2202.01048 [pdf, other]

Title: A cubical Rips construction

Macarena Arenas

Comments: Version 2: 21 pages, 1 figure, implemented referee's comments, accepted for publication at Algebraic & Geometric Topology

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

[232] arXiv:2202.01052 [pdf, other]

Title: $\ell$-away ACM Bundles on Fano Surfaces

Filip Gawron, Ozhan Genc

Comments: 24 pages. The title has been changed from "l-away ACM Bundles on DelPezzo Surfaces" to "$\ell$-away ACM Bundles on Fano Surfaces". Also, several typos have been fixed and the exposition improved. The final version appears in Bollettino dell'Unione Matematica Italiana

Subjects: Algebraic Geometry (math.AG)

[233] arXiv:2202.01059 [pdf, other]

Title: PINNs and GaLS: A Priori Error Estimates for Shallow Physics Informed Neural Networks Applied to Elliptic Problems

Umberto Zerbinati

Comments: This work has been accepted at MathMOD and will appear on IFAC Conference Papers

Subjects: Numerical Analysis (math.NA)

[234] arXiv:2202.01061 [pdf, other]

Title: A Direct Proof of the 2nd Atiyah-Sutcliffe Conjecture for Convex Quadrilaterals

Mazen Bou Khuzam

Subjects: Metric Geometry (math.MG)

[235] arXiv:2202.01062 [pdf, other]

Title: Primes dividing values of a given Polynomial

Devendra Prasad

Comments: accepted for publication in The Mathematics Student

Subjects: History and Overview (math.HO)

[236] arXiv:2202.01064 [pdf, other]

Title: A Dynamical Systems Framework for Generating the Riemann Zeta Function and Dirichlet L-functions

Shantanu Chakrabartty

Comments: 17 pages. Comments and suggestions to improve the derivation are welcome

Subjects: General Mathematics (math.GM)

[237] arXiv:2202.01066 [pdf, other]

Title: Point-Set Topology

Farzad Shahi

Comments: 288 pages

Subjects: General Mathematics (math.GM)

[238] arXiv:2202.01067 [pdf, other]

Title: A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations

Rivu Bardhan, Cenep Ozel, Liliana Guran

Subjects: General Mathematics (math.GM)

[239] arXiv:2202.01070 [pdf, other]

Title: An infinitary Zero sum theorem

Sayan Goswami

Subjects: Combinatorics (math.CO)

[240] arXiv:2202.01071 [pdf, other]

Title: Autocorrelation of the Mobius Function

N. A. Carella

Comments: Eight Pages. Keywords: Autocorrelation; Correlation; Arithmetic function; Mobius function; Liouville function; Chola conjecture

Subjects: General Mathematics (math.GM)

[241] arXiv:2202.01083 [pdf, other]

Title: Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems

Farrukh Shehzad, Yousaf Habib, Michael Kraus, Zareen Akhtar

Comments: 13 Pages

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[242] arXiv:2202.01085 [pdf, other]

Title: Giga-scale Kernel Matrix Vector Multiplication on GPU

Robert Hu, Siu Lun Chau, Dino Sejdinovic, Joan Alexis Glaunès

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Mathematical Software (cs.MS); Computation (stat.CO)

[243] arXiv:2202.01097 [pdf, other]

Title: Spectral and Energy Efficiency of DCO-OFDM in Visible Light Communication Systems with Finite-Alphabet Inputs

Ruixin Yang, Shuai Ma, Zihan Xu, Hang Li, Xiaodong Liu, Xintong Ling, Xiong Deng, Xun Zhang, Shiyin Li

Comments: 14 pages, 14 figures, accepted by IEEE Transactions on Wireless Communications

Journal-ref: IEEE Transactions on Wireless Communications

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

[244] arXiv:2202.01099 [pdf, other]

Title: On Lyapunov Stability of Positive and Conservative Time Integrators and Application to Second Order Modified Patankar--Runge--Kutta Schemes

Thomas Izgin, Stefan Kopecz, Andreas Meister

Subjects: Numerical Analysis (math.NA)

[245] arXiv:2202.01111 [pdf, other]

Title: Hypergraph Fuss-Catalan Numbers

Parth Chavan, Andrew Lee, Karthik Seetharaman

Comments: 19 pages, 9 figures

Subjects: Combinatorics (math.CO)

[246] arXiv:2202.01112 [pdf, other]

Title: On Joint Communication and Channel Discrimination

Han Wu, Hamdi Joudeh

Subjects: Information Theory (cs.IT)

[247] arXiv:2202.01113 [pdf, other]

Title: Tailoring Gradient Methods for Differentially-Private Distributed Optimization

Yongqiang Wang, Angelia Nedic

Comments: Accepted to IEEE Transactions on Automatic Control as a full paper

Subjects: Optimization and Control (math.OC); Distributed, Parallel, and Cluster Computing (cs.DC)

[248] arXiv:2202.01114 [pdf, other]

Title: Sumsets and Veronese varieties

Liena Colarte-Gómez, Joan Elias, Rosa M. Miró-Roig

Comments: To appear in Collectanea Mathematica

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

[249] arXiv:2202.01125 [pdf, other]

Title: GLISp-r: A preference-based optimization algorithm with convergence guarantees

Davide Previtali, Mirko Mazzoleni, Antonio Ferramosca, Fabio Previdi

Comments: Journal version available at: this https URL 28 pages, 7 figures and 1 table

Journal-ref: Comput Optim Appl 86, 383-420 (2023)

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

[250] arXiv:2202.01127 [pdf, other]

Title: A first order description of a nonlinear SPDE in the spirit of rough paths

Florian Kunick

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