Mathematics

Authors and titles for February 2022

[1301] arXiv:2202.06116 [pdf, other]

Title: Fast and accurate domain decomposition methods for reduced fracture models with nonconforming time grids

Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

Comments: 29 pages

Subjects: Numerical Analysis (math.NA)

[1302] arXiv:2202.06118 [pdf, other]

Title: Knots, Braids, and Knot Invariants

Matthew Stevens

Subjects: Geometric Topology (math.GT); Rings and Algebras (math.RA)

[1303] arXiv:2202.06119 [pdf, other]

Title: Remarks on the $L^p$ convergence of Bessel--Fourier series on the disc

Ryan L. Acosta Babb

Comments: 7 pages

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

[1304] arXiv:2202.06131 [pdf, other]

Title: Rotational $K^\alpha$-translators in Minkowski space

Muhittin Evren Aydin, Rafael López

Subjects: Differential Geometry (math.DG)

[1305] arXiv:2202.06134 [pdf, other]

Title: Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces

Carlos Galindo, Francisco Monserrat, Elvira Pérez-Callejo

Journal-ref: Qualitative Theory of Dynamical Systems 21, 126 (2022)

Subjects: Algebraic Geometry (math.AG); Dynamical Systems (math.DS)

[1306] arXiv:2202.06136 [pdf, other]

Title: Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

Víctor Almeida, Jorge J. Betancor, Juan C. Fariña, Pablo Quijano, Lourdes Rodríguez-Mesa

Comments: This is a revised version of the preliminary one arXiv:2202.06136v1

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

[1307] arXiv:2202.06141 [pdf, other]

Title: Sparse Training with Lipschitz Continuous Loss Functions and a Weighted Group L0-norm Constraint

Michael R. Metel

Subjects: Optimization and Control (math.OC)

[1308] arXiv:2202.06144 [pdf, other]

Title: Suslin tree preservation and club isomorphisms

John Krueger

Subjects: Logic (math.LO)

[1309] arXiv:2202.06148 [pdf, other]

Title: Study of Robust Adaptive Power allocation for the Downlink of Multiple-Antenna Systems

A. Flores, R. C. de Lamare

Comments: 7 pages, 3 figures

Subjects: Information Theory (cs.IT)

[1310] arXiv:2202.06152 [pdf, html, other]

Title: Analysis of Dual-Based PID Controllers through Convolutional Mirror Descent

Santiago R. Balseiro, Haihao Lu, Vahab Mirrokni, Balasubramanian Sivan

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

[1311] arXiv:2202.06153 [pdf, other]

Title: A $q$-deformation of enriched $P$-partitions (extended abstract)

Darij Grinberg, Ekaterina A. Vassilieva

Comments: 12 pages. Extended abstract accepted for FPSAC 2022. In v3, we corrected Corollary 1

Journal-ref: corrected version of: S\'eminaire Lotharingien de Combinatoire, 86B.78 (2022), 12 pp

Subjects: Combinatorics (math.CO)

[1312] arXiv:2202.06156 [pdf, other]

Title: Numerical scheme for Erd\'elyi-Kober fractional diffusion equation using Galerkin-Hermite method

Łukasz Płociniczak, Mateusz Świtała

Comments: 27 pages, 4 figures

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

[1313] arXiv:2202.06160 [pdf, other]

Title: Hamiltonian approach for point vortices on non-orientable surfaces I: the Mobius band

Nataliya A. Balabanova, James Montaldi

Subjects: Dynamical Systems (math.DS)

[1314] arXiv:2202.06161 [pdf, other]

Title: Characterizing unit spheres in Euclidean spaces via reach and volume

Mark Iwen, Benjamin Schmidt, Arman Tavakoli

Subjects: Differential Geometry (math.DG)

[1315] arXiv:2202.06175 [pdf, other]

Title: A Hamiltonian approach for point vortices on non-orientable surfaces II: the Klein bottle

Nataliya A. Balabanova

Subjects: Dynamical Systems (math.DS)

[1316] arXiv:2202.06185 [pdf, other]

Title: Tangent Flows of K\"ahler Metric Flows

Max Hallgren, Wangjian Jian

Comments: 35 pages. All comments are welcome!

Subjects: Differential Geometry (math.DG)

[1317] arXiv:2202.06188 [pdf, other]

Title: Testing the number of common factors by bootstrapped sample covariance matrix in high-dimensional factor models

Long Yu, Peng Zhao, Wang Zhou

Comments: 102 pages, 9 figures, 6 tables

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

[1318] arXiv:2202.06192 [pdf, other]

Title: A note on hamiltonian cycles in $4$-tough $(P_2\cup kP_1)$-free graphs

Lingjuan Shi, Songling Shan

Comments: 6 pages

Subjects: Combinatorics (math.CO)

[1319] arXiv:2202.06193 [pdf, other]

Title: Online Scheduling of Transmission and Processing for AoI Minimization with Edge Computing

Jianhang Zhu, Jie Gong

Comments: 6 pages, 8 figures, accepted by Infocom 2022 workshop on AoI

Subjects: Information Theory (cs.IT)

[1320] arXiv:2202.06195 [pdf, other]

Title: Ap\'ery-Type Series with Summation Indices of Mixed Parities and Colored Multiple Zeta Values, I

Ce Xu, Jianqiang Zhao

Comments: 25 pages, added Remark 4.2, Cor. 4.6 and Example 5.3

Subjects: Number Theory (math.NT)

[1321] arXiv:2202.06203 [pdf, other]

Title: Temperedness of $L^2(\Gamma\backslash G)$ and positive eigenfunctions in higher rank

Sam Edwards, Hee Oh

Comments: 38 pages, Final version, To appear in Communications of the AMS

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG); Dynamical Systems (math.DS); Representation Theory (math.RT)

[1322] arXiv:2202.06207 [pdf, other]

Title: Performance of Downlink and Uplink Integrated Sensing and Communications (ISAC) Systems

Chongjun Ouyang, Yuanwei Liu, Hongwen Yang

Comments: 8 figures

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

[1323] arXiv:2202.06210 [pdf, other]

Title: A gauge theoretic aspect of parabolic bundles over real curves

Sanjay Amrutiya, Ayush Jaiswal

Comments: Revised with minor changes

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

[1324] arXiv:2202.06214 [pdf, other]

Title: On equivariant Lie-Yamaguti algebras and related structures

Shuangjian Guo, Bibhash Mondal, Ripan Saha

Comments: 16 pages. arXiv admin note: text overlap with arXiv:1911.09854

Subjects: Rings and Algebras (math.RA)

[1325] arXiv:2202.06215 [pdf, other]

Title: Time quasi-periodic vortex patches of Euler equation in the plane

Massimiliano Berti, Zineb Hassainia, Nader Masmoudi

Comments: 88 pages

Subjects: Analysis of PDEs (math.AP)

[1326] arXiv:2202.06217 [pdf, other]

Title: The double contravariant powerset monad in the Goguen category of fuzzy sets

Sijia Lu, Dexue Zhang

Comments: 21 pages

Subjects: Category Theory (math.CT)

[1327] arXiv:2202.06220 [pdf, other]

Title: Factorization of Shapovalov elements

Andrey Mudrov

Comments: 15 pages. Error corrected on p.13

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

[1328] arXiv:2202.06224 [pdf, other]

Title: Generating the Level 2 Subgroup by Involutions

Tulin Altunoz, Naoyuki Monden, Mehmetcik Pamuk, Oguz Yildiz

Comments: 8 pages, 8 figures. Any comments or suggestions are welcome

Subjects: Geometric Topology (math.GT)

[1329] arXiv:2202.06225 [pdf, html, other]

Title: Circle actions and Suspension operations on Smooth manifolds

Haibao Duan

Comments: 22pages

Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT)

[1330] arXiv:2202.06230 [pdf, other]

Title: Accumulation points on 3-fold canonical thresholds

Jheng-Jie Chen

Comments: 14 pages, comments welcome

Subjects: Algebraic Geometry (math.AG)

[1331] arXiv:2202.06234 [pdf, other]

Title: Enumerating solutions to grid based puzzles with a fixed number of rows

George Spahn

Subjects: Combinatorics (math.CO)

[1332] arXiv:2202.06235 [pdf, other]

Title: Tamagawa numbers of elliptic curves with torsion points

Mentzelos Melistas

Comments: 9 pages. Final version. To appear in Archiv der Mathematik

Subjects: Number Theory (math.NT)

[1333] arXiv:2202.06236 [pdf, other]

Title: Efficient Natural Gradient Descent Methods for Large-Scale PDE-Based Optimization Problems

Levon Nurbekyan, Wanzhou Lei, Yunan Yang

Comments: 33 pages, 5 figures

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

[1334] arXiv:2202.06237 [pdf, other]

Title: Codes and Designs in Johnson Graphs From Symplectic Actions on Quadratic Forms

John Bamberg, Alice Devillers, Mark Ioppolo, Cheryl E. Praeger

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[1335] arXiv:2202.06246 [pdf, other]

Title: Exponential inequalities for the number of triangles in the Erd\"{o}s-R\'{e}nyi random graph

Alexander Bystrov, Nadezhda Volodko

Comments: Inaccuracy in the proof. To be updated

Subjects: Probability (math.PR)

[1336] arXiv:2202.06247 [pdf, other]

Title: ORBGRAND Is Almost Capacity-Achieving

Mengxiao Liu, Yuejun Wei, Zhenyuan Chen, Wenyi Zhang

Subjects: Information Theory (cs.IT)

[1337] arXiv:2202.06249 [pdf, other]

Title: Extremal graphs for edge blow-up of lollipops

Yanni Zhai, Xiying Yuan, Zhenyu Ni

Subjects: Combinatorics (math.CO)

[1338] arXiv:2202.06265 [pdf, other]

Title: On approximation of solutions to the heat equation from Lebesgue class $L^2$ by more regular solutions

Alexander Shlapunov

Subjects: Analysis of PDEs (math.AP)

[1339] arXiv:2202.06267 [pdf, other]

Title: T-Controllability of Evolution Systems having Non-instantaneous Impulses

Vishant Shah, Kalpesh Bharvad, Dipsha Bhadrecha, Aashi Maratha, Jaita Sharma, Dhanesh Patel

Subjects: Dynamical Systems (math.DS)

[1340] arXiv:2202.06269 [pdf, other]

Title: $q$-Supercongruences on triple and quadruple sums

Xiaoxia Wang, Chang Xu

Comments: arXiv admin note: text overlap with arXiv:2112.08585

Subjects: Number Theory (math.NT)

[1341] arXiv:2202.06286 [pdf, other]

Title: Consecutive Piatetski-Shapiro primes based on the Hardy-Littlewood conjecture

Victor Z. Guo, Yuan Yi

Comments: We fix typos and a mistake in the previous version. Any comment is welcome

Subjects: Number Theory (math.NT)

[1342] arXiv:2202.06287 [pdf, other]

Title: Sur le biais d'une loi de probabilit\'e relative aux entiers friables

Gérald Tenenbaum

Comments: in French

Subjects: Number Theory (math.NT)

[1343] arXiv:2202.06289 [pdf, other]

Title: Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization

Anna Logioti, Barbara Niethammer, Matthias Röger, Juan J. L. Velázquez

Comments: non-local free boundary problem, obstacle problem, estimates on the support of solutions

Subjects: Analysis of PDEs (math.AP)

[1344] arXiv:2202.06291 [pdf, other]

Title: On a question of Moshe Roitman and Euler class of stably free module

Manoj K. Keshari, Soumi Tikader

Comments: 16 pages

Journal-ref: J. Algebra 614 (2023) 848-866

Subjects: Commutative Algebra (math.AC); K-Theory and Homology (math.KT)

[1345] arXiv:2202.06298 [pdf, other]

Title: $E$-separated semigroups

Taras Banakh

Comments: 13 pages. arXiv admin note: text overlap with arXiv:2201.10786

Subjects: Rings and Algebras (math.RA)

[1346] arXiv:2202.06302 [pdf, other]

Title: The Grothendieck algebras of certain smash product semisimple Hopf algebras

Zhihua Wang, Gongxiang Liu, Libin Li

Comments: 14 pages. Any comments and suggestions will be appreciated

Subjects: Representation Theory (math.RT); Category Theory (math.CT)

[1347] arXiv:2202.06303 [pdf, other]

Title: On the Exactness of an Energy-efficient Train Control model based on Convex Optimization

Shaofeng Lu, Minling Feng, Kunpeng Wu

Comments: 11 pages and 4 figures

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

[1348] arXiv:2202.06304 [pdf, other]

Title: Ill_posedness for a two_component Novikov system in Besov space

Xing Wu, Min Li

Subjects: Analysis of PDEs (math.AP)

[1349] arXiv:2202.06308 [pdf, other]

Title: Pseudo-finiteness of arbitrary graphs of bounded shrub-depth

Abhisekh Sankaran

Comments: 17 pages. arXiv admin note: substantial text overlap with arXiv:2010.05799

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

[1350] arXiv:2202.06311 [pdf, other]

Title: On maximum parallel classes in packings

Douglas R. Stinson, Ruizhong Wei

Subjects: Combinatorics (math.CO)