Mathematics

Authors and titles for July 2022

[751] arXiv:2207.03659 [pdf, html, other]

Title: $Out(F_n)$-invariant probability measures on the space of $n$-generated marked groups

D. Osin

Comments: Corollary 1.6 added, exposition improved

Subjects: Group Theory (math.GR); Dynamical Systems (math.DS)

[752] arXiv:2207.03660 [pdf, other]

Title: Maximal Function and Riesz Transform Characterizations of Hardy Spaces Associated with Homogeneous Higher Order Elliptic Operators and Ball Quasi-Banach Function Spaces

Xiaosheng Lin, Dachun Yang, Sibei Yang, Wen Yuan

Comments: 52 pages; Submitted

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[753] arXiv:2207.03661 [pdf, other]

Title: Combinatorial meaning of the number of the even parts in a partition of $n$ into distinct parts

Jiyou Li, Sicheng Zhao

Comments: 5 pages

Subjects: Combinatorics (math.CO)

[754] arXiv:2207.03663 [pdf, other]

Title: Approximation by interval-decomposables and interval resolutions of persistence modules

Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki

Journal-ref: Journal of Pure and Applied Algebra, Vol 227, no.10 (2023): 107397

Subjects: Representation Theory (math.RT); Algebraic Topology (math.AT)

[755] arXiv:2207.03683 [pdf, other]

Title: Grassmannians in the Lattice points of Dilations of the Standard Simplex

Praise Adeyemo

Subjects: Combinatorics (math.CO)

[756] arXiv:2207.03685 [pdf, other]

Title: Coloured $\mathfrak{sl}_r$ invariants of torus knots and characters of $\mathcal{W}_r$ algebras

Shashank Kanade

Comments: Comments welcome!

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

[757] arXiv:2207.03696 [pdf, other]

Title: Modulation spaces, multipliers associated with the special affine Fourier transform

M. H. A. Biswas, H. G. Feichtinger, R. Ramakrishnan

Comments: 26 pages

Subjects: Functional Analysis (math.FA)

[758] arXiv:2207.03698 [pdf, other]

Title: The nonvanishing first Hochschild cohomology of twisted finite simple group algebras

William Murphy

Subjects: Group Theory (math.GR); K-Theory and Homology (math.KT); Rings and Algebras (math.RA); Representation Theory (math.RT)

[759] arXiv:2207.03699 [pdf, other]

Title: Tightening Discretization-based MILP Models for the Pooling Problem using Upper Bounds on Bilinear Terms

Yifu Chen, Christos T. Maravelias, Xiaomin Zhang

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

[760] arXiv:2207.03701 [pdf, other]

Title: On the general part of the perturbed Vafa-Witten moduli spaces on 4-manifolds

Ren Guan

Subjects: Differential Geometry (math.DG)

[761] arXiv:2207.03702 [pdf, html, other]

Title: On the extensions of the left modules for a meromorphic open-string vertex algebra, I

Fei Qi

Comments: 50 pages. We no longer require the existence of the $D$-operators in the left modules $W_1$ and $W_2$. Section 5 is significantly improved based on the suggestions by Reviewer 1. Final Version. To appear on Comm. Math. Phys

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Representation Theory (math.RT)

[762] arXiv:2207.03706 [pdf, other]

Title: Phase field topology optimisation for 4D printing

Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori

Comments: 41 pages, 54 figures

Journal-ref: ESAIM Control Optim. Calc. Var. 29 (2023) 24

Subjects: Optimization and Control (math.OC)

[763] arXiv:2207.03710 [pdf, other]

Title: Non-linear Affine Processes with Jumps

Francesca Biagini, Georg Bollweg, Katharina Oberpriller

Comments: 31 pages

Subjects: Probability (math.PR); Mathematical Finance (q-fin.MF)

[764] arXiv:2207.03713 [pdf, other]

Title: Spectral transition model with the general contact interaction

Pavel Exner, Jiří Lipovský

Comments: 24 pages, to appear in "From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko"

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

[765] arXiv:2207.03715 [pdf, html, other]

Title: Synthetic versus distributional lower Ricci curvature bounds

Michael Kunzinger, Michael Oberguggenberger, James A. Vickers

Comments: 23 pages, small correction in the proof of Th. 4.3

Journal-ref: Proceedings of the Royal Society of Edinburgh: Section A Mathematics 154 (2024) 1406-1430

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

[766] arXiv:2207.03719 [pdf, other]

Title: The stochastic nonlinear Schr\"{o}dinger equations driven by pure jump noise

Jian Wang, Jianliang Zhai, Jiahui Zhu

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

[767] arXiv:2207.03724 [pdf, other]

Title: Model predictivity assessment: incremental test-set selection and accuracy evaluation

Elias Fekhari (EDF R&D PRISME), Bertrand Iooss (EDF R&D PRISME, IMT, GdR MASCOT-NUM), Joseph Muré, Luc Pronzato (I3S, GdR MASCOT-NUM), Maria-João Rendas

Comments: Studies in Theoretical and Applied Statistics, Springer, In press

Subjects: Statistics Theory (math.ST)

[768] arXiv:2207.03727 [pdf, other]

Title: Infinitely many cubic points for $X_0^+(N)$ over $\mathbb{Q}$

Francesc Bars, Tarun Dalal

Subjects: Number Theory (math.NT)

[769] arXiv:2207.03728 [pdf, other]

Title: Laguerre BV spaces, Laguerre perimeter and their applications

Yu Liu, He Wang

Comments: In this paper we systematicallyinvestigate the theory of the Laguerre bounded variation space. Our results may have some potential applications in PDEs and potential theory

Subjects: Functional Analysis (math.FA)

[770] arXiv:2207.03730 [pdf, other]

Title: Tackling Data Heterogeneity: A New Unified Framework for Decentralized SGD with Sample-induced Topology

Yan Huang, Ying Sun, Zehan Zhu, Changzhi Yan, Jinming Xu

Comments: This work will appear in ICML 2022

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

[771] arXiv:2207.03731 [pdf, other]

Title: Solvability of a semilinear heat equation on Riemannian manifolds

Jin Takahashi, Hikaru Yamamoto

Comments: 46 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[772] arXiv:2207.03732 [pdf, other]

Title: Path Integrals and p-adic L-functions

Magnus Carlson, Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo

Subjects: Number Theory (math.NT); High Energy Physics - Theory (hep-th)

[773] arXiv:2207.03733 [pdf, other]

Title: Lacunary wavelet series on Cantor sets

Céline Esser, Béatrice Vedel

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

[774] arXiv:2207.03734 [pdf, other]

Title: Function field extensions and annihilators of differential forms in characteristic p and bilinear forms in characteristic 2

Marco Sobiech

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

[775] arXiv:2207.03735 [pdf, other]

Title: H\"ormander type theorem for multilinear Pseudo-differential operators

Yaryong Heo, Sunggeum Hong, Chan Woo Yang

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[776] arXiv:2207.03738 [pdf, other]

Title: Malliavin calculus and its application to robust optimal portfolio for an insider

Chao Yu, Yuhan Cheng

Subjects: Numerical Analysis (math.NA)

[777] arXiv:2207.03741 [pdf, other]

Title: H\"older continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group

Maria Manfredini, Giampiero Palatucci, Mirco Piccinini, Sergio Polidoro

Comments: We have removed the bound on the integrability exponent p. To appear in J. Geom. Anal

Subjects: Analysis of PDEs (math.AP)

[778] arXiv:2207.03743 [pdf, other]

Title: The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group

Mirco Piccinini

Comments: We have removed the bound on the integrability exponent p. To appear in Nonlinear Anal

Subjects: Analysis of PDEs (math.AP)

[779] arXiv:2207.03744 [pdf, other]

Title: The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group

Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek

Comments: 16 pages, we have improved the result

Subjects: Analysis of PDEs (math.AP)

[780] arXiv:2207.03745 [pdf, other]

Title: Revisiting Chernoff Information with Likelihood Ratio Exponential Families

Frank Nielsen

Comments: 41 pages

Journal-ref: Entropy 2022, 24(10), 1400

Subjects: Information Theory (cs.IT)

[781] arXiv:2207.03746 [pdf, other]

Title: First moment of central values of quadratic Hecke $L$-functions in the Gaussian field

Peng Gao, Liangyi Zhao

Comments: 11 pages

Journal-ref: Int. J. Number Theory, vol. 19, 2023, no. 7, pp. 1621--1637

Subjects: Number Theory (math.NT)

[782] arXiv:2207.03747 [pdf, other]

Title: On the size of matchings in 1-planar graph with high minimum degree

Yuanqiu Huang, Zhangdong Ouyang, Fengming Dong

Comments: 19 pages and 5 figures. To appear in SIAM Discrete Mathematics

Subjects: Combinatorics (math.CO)

[783] arXiv:2207.03755 [pdf, other]

Title: A Poincar\'e map for the horocycle flow on $PSL(2,\mathbb{Z})\backslash \mathbb{H}$ and the Stern-Brocot tree

Claudio Bonanno, Alessio Del Vigna, Stefano Isola

Comments: 33 pages, 7 figures

Subjects: Dynamical Systems (math.DS)

[784] arXiv:2207.03756 [pdf, other]

Title: Sprays on Hamel-Funk Functions Model

Guojun Yang

Comments: 21 pages

Subjects: Differential Geometry (math.DG)

[785] arXiv:2207.03759 [pdf, other]

Title: Galois lines for the quotient curve of the Hermitian curve by an involution

Satoru Fukasawa

Comments: 11 pages

Subjects: Algebraic Geometry (math.AG)

[786] arXiv:2207.03760 [pdf, other]

Title: Tail Quantile Estimation for Non-preemptive Priority Queues

Jin Guang, Guiyu Hong, Xinyun Chen, Xi Peng, Li Chen, Bo Bai, Gong Zhang

Subjects: Probability (math.PR)

[787] arXiv:2207.03765 [pdf, other]

Title: A Deep Learning-Based Framework for Low Complexity Multi-User MIMO Precoding Design

Maojun Zhang, Jiabao Gao, Caijun Zhong

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

[788] arXiv:2207.03775 [pdf, other]

Title: Shape optimization for a nonlinear elliptic problem related to thermal insulation

Rosa Barbato

Comments: 14 pages. arXiv admin note: text overlap with arXiv:2005.11934 by other authors

Subjects: Analysis of PDEs (math.AP)

[789] arXiv:2207.03778 [pdf, other]

Title: On arithmetic sums of connected sets in $\mathbb{R}^2$

Yu-Feng Wu

Comments: Accepted for publicaton in Bull. Aust. Math. Soc

Subjects: General Topology (math.GN)

[790] arXiv:2207.03788 [pdf, other]

Title: Composition operators on Bloch and Hardy type spaces

Shaolin Chen, Hidetaka Hamada, Jian-Feng Zhu

Comments: 20 pages, To appear in Math. Z

Subjects: Complex Variables (math.CV)

[791] arXiv:2207.03791 [pdf, other]

Title: Properties of Generalised Magnetic Polarizability Tensors

P.D. Ledger, W.R.B. Lionheart

Subjects: Analysis of PDEs (math.AP)

[792] arXiv:2207.03792 [pdf, other]

Title: On mesh refinement procedures for polygonal virtual elements

Daniel van Huyssteen, Felipe Lopez Rivarola, Guillermo Etse, Paul Steinmann

Subjects: Numerical Analysis (math.NA)

[793] arXiv:2207.03793 [pdf, other]

Title: A revisit to Bang-Jensen-Gutin conjecture and Yeo's theorem

Ruonan Li, Bo Ning

Comments: 13 pages, 5 figures

Subjects: Combinatorics (math.CO)

[794] arXiv:2207.03802 [pdf, other]

Title: The Compatibility of the Minimalist Foundation with Homotopy Type Theory

Michele Contente, Maria Emilia Maietti

Subjects: Logic (math.LO)

[795] arXiv:2207.03806 [pdf, other]

Title: Vlasov Equations on Directed Hypergraph Measures

Christian Kuehn, Chuang Xu

Comments: arXiv admin note: text overlap with arXiv:2107.08419

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS); Functional Analysis (math.FA); Probability (math.PR)

[796] arXiv:2207.03818 [pdf, other]

Title: Small-time bilinear control of Schr\"odinger equations with application to rotating linear molecules

Thomas Chambrion, Eugenio Pozzoli

Comments: 10 pages, 1 figure

Subjects: Optimization and Control (math.OC); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Quantum Physics (quant-ph)

[797] arXiv:2207.03822 [pdf, other]

Title: A Conjecture of Coleman on the Eisenstein Family

Bryan W. Advocaat, Ian Kiming, Gabor Wiese

Comments: 15 pages; v2: slightly extended introduction

Subjects: Number Theory (math.NT)

[798] arXiv:2207.03832 [pdf, other]

Title: Characterizing terminal Fano threefolds with the smallest anti-canonical volume, II

Chen Jiang

Comments: 11 pages, submitting to the special volume in honor of Professor Shokurov's seventieth birthday

Subjects: Algebraic Geometry (math.AG)

[799] arXiv:2207.03836 [pdf, html, other]

Title: Shrinking rates of horizontal gaps for generic translation surfaces

Jon Chaika, Samantha Fairchild

Subjects: Dynamical Systems (math.DS); Geometric Topology (math.GT)

[800] arXiv:2207.03837 [pdf, other]

Title: The Positive Effects of Stochastic Rounding in Numerical Algorithms

El-Mehdi El Arar (LI-PaRAD), Devan Sohier (LI-PaRAD), Pablo de Oliveira Castro (LI-PaRAD), Eric Petit

Journal-ref: 29th IEEE Symposium on Computer Arithmetic ARITH 2022, Sep 2022, Virtual conference, France

Subjects: Numerical Analysis (math.NA)