Mathematics

Authors and titles for May 2022

[1701] arXiv:2205.08230 [pdf, other]

Title: Centralisers, complex reflection groups and actions in the Weyl group $E_6$

Graham A. Niblo, Roger Plymen, Nick Wright

Comments: J. Homotopy Relat. Struct. (2023)

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

[1702] arXiv:2205.08233 [pdf, other]

Title: Towards understanding the central limit theorem by learning Python basics

Zoltán Kovács, Alexander Thaller

Comments: 16 pages, 13 figures

Subjects: History and Overview (math.HO)

[1703] arXiv:2205.08235 [pdf, other]

Title: Kemeny's constant for a graph with bridges

Jane Breen, Emanuele Crisostomi, Sooyeong Kim

Comments: 21 pages and 3 figures

Subjects: Combinatorics (math.CO)

[1704] arXiv:2205.08237 [pdf, other]

Title: Jacobi processes with jumps as neuronal models: a first passage time analysis

Giuseppe D'Onofrio, Pierre Patie, Laura Sacerdote

Comments: SIAM Journal on Applied Mathematics 20 pages, 8 figures

Subjects: Probability (math.PR)

[1705] arXiv:2205.08238 [pdf, other]

Title: Relating asymptotic dimension to Ponomarev's cofinal dimension via coarse proximities

Jeremy Siegert

Comments: 41 pages

Subjects: Metric Geometry (math.MG); General Topology (math.GN); Geometric Topology (math.GT)

[1706] arXiv:2205.08242 [pdf, other]

Title: Outage Analysis of Energy Efficiency in a Finite-Element-IRS Aided Communication System

Aaqib Bulla, Shahid M Shah

Comments: 18 Pages, 6 Figures, 2 Tables

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

[1707] arXiv:2205.08244 [pdf, other]

Title: Growth and nodal current of complexified horocycle eigenfunctions

Mikhail Dubashinskiy

Comments: v.2: supplemented with explicit calculation of growth of functions

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Complex Variables (math.CV)

[1708] arXiv:2205.08250 [pdf, other]

Title: Analytic properties of Stretch maps and geodesic laminations

Georgios Daskalopoulos, Karen Uhlenbeck

Subjects: Differential Geometry (math.DG)

[1709] arXiv:2205.08251 [pdf, other]

Title: On Gr\"obner bases and Cohen-Macaulay property of closed path polyominoes

Carmelo Cisto, Francesco Navarra, Rosanna Utano

Comments: 18 pages, 20 figures

Journal-ref: The Electronic Journal of Combinatorics, 29 (2022)

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

[1710] arXiv:2205.08262 [pdf, other]

Title: Lossy Computing with Side Information via Multi-Hypergraphs

Deheng Yuan, Tao Guo, Bo Bai, Wei Han

Subjects: Information Theory (cs.IT)

[1711] arXiv:2205.08263 [pdf, other]

Title: Contact-less Material Probing with Distributed Sensors: Joint Sensing and Communication Optimization

Ali Kariminezhad, Soheil Gherekhloo, Aydin Sezgin

Comments: arXiv admin note: text overlap with arXiv:1902.11117

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

[1712] arXiv:2205.08266 [pdf, other]

Title: Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity

Yang Liu, Xin Zhong

Comments: 33 pages. arXiv admin note: text overlap with arXiv:2111.14057 by other authors

Journal-ref: Journal of Differential Equations, 358 (2023), 295-338

Subjects: Analysis of PDEs (math.AP)

[1713] arXiv:2205.08272 [pdf, other]

Title: NOMA-aided Joint Communication, Sensing, and Multi-tier Computing Systems

Zhaolin Wang, Xidong Mu, Yuanwei Liu, Xiaodong Xu, Ping Zhang

Comments: 30 pages, 8 figures

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

[1714] arXiv:2205.08273 [pdf, other]

Title: Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I

Stanisław Kasjan, Mariusz Lemańczyk, Sebastian Zuniga Alterman

Journal-ref: Acta Arithmetica 209 (2023), 135-171

Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)

[1715] arXiv:2205.08276 [pdf, other]

Title: Generalized Realizability and Intuitionistic Logic

Aleksandr Yu. Konovalov

Comments: arXiv admin note: substantial text overlap with arXiv:2001.08989

Subjects: Logic (math.LO)

[1716] arXiv:2205.08277 [pdf, other]

Title: A Note on Generalized Narayana Numbers

David Callan

Comments: 4 pages

Subjects: Combinatorics (math.CO)

[1717] arXiv:2205.08280 [pdf, other]

Title: On a Relation between Schreier-type Sets and a Modification of Tur\'{a}n Graphs

Hung Viet Chu

Comments: 9 pages, 6 figures

Subjects: Combinatorics (math.CO)

[1718] arXiv:2205.08286 [pdf, other]

Title: On partially observed jump diffusions I. The filtering equations

Fabian Germ, István Gyöngy

Comments: 27 pages

Subjects: Probability (math.PR); Optimization and Control (math.OC)

[1719] arXiv:2205.08291 [pdf, other]

Title: A tight linear bound to the chromatic number of $(P_5, K_1+(K_1\cup K_3))$-free graphs

Wei Dong, Baogang Xu, Yian Xu

Comments: arXiv admin note: text overlap with arXiv:2202.13177

Subjects: Combinatorics (math.CO)

[1720] arXiv:2205.08293 [pdf, other]

Title: Moments, Concentration, and Entropy of Log-Concave Distributions

Arnaud Marsiglietti, James Melbourne

Comments: 19 pages

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

[1721] arXiv:2205.08302 [pdf, other]

Title: Gauss-Manin connection in disguise: Open Gromov-Witten invariants

Felipe Espreafico

Comments: 21 pages. No figures. Comments and corrections are welcome! In the new version I added a subsection reviewing GMCD for Elliptic Curves as motivation and made some other minor corrections

Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph)

[1722] arXiv:2205.08312 [pdf, html, other]

Title: Higgsing $qq$-character and irreducibility

Taro Kimura

Comments: 28 pages, v2. presentation improved

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

[1723] arXiv:2205.08323 [pdf, other]

Title: First BGG operators on homogeneous conformal geometries

Jan Gregorovič, Lenka Zalabová

Comments: 40 pages, comments welcomed, several typos corrected

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[1724] arXiv:2205.08326 [pdf, other]

Title: The choosability version of Brooks' theorem -- a short proof

Michael Krivelevich

Comments: 2 pages

Subjects: Combinatorics (math.CO)

[1725] arXiv:2205.08336 [pdf, other]

Title: On Uncertainty of Dynamic Systems via State Aggregation Coarse-Graining and State Decomposition Fine-Graining Ways

Lirong Cui, Xiangchen Li, Narayanaswamy Balakrishnan

Comments: 13 pages are for the paper, 16 pages for supplemental material

Subjects: Information Theory (cs.IT)

[1726] arXiv:2205.08341 [pdf, other]

Title: Cohomology and formal deformations of n-Hom-Lie color algebras

K. Abdaoui, R. Gharbi, S. Mabrouk, A. Makhlouf

Subjects: Rings and Algebras (math.RA); Mathematical Physics (math-ph); Representation Theory (math.RT)

[1727] arXiv:2205.08359 [pdf, other]

Title: Lower bounds for the number of local nearrings on groups of order $p^3$

Iryna Raievska, Maryna Raievska

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR)

[1728] arXiv:2205.08375 [pdf, other]

Title: Hilbert-Poincar\'e series and Gorenstein property for some non-simple polyominoes

Carmelo Cisto, Francesco Navarra, Rosanna Utano

Comments: 21 pages, 8 figures

Journal-ref: Bulletin of the Iranian Mathematical Society, \textbf{49}, 22 (2023)

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

[1729] arXiv:2205.08388 [pdf, other]

Title: Statistical solutions of the incompressible Euler equations

Raphael Wagner, Emil Wiedemann

Subjects: Analysis of PDEs (math.AP)

[1730] arXiv:2205.08392 [pdf, other]

Title: All bi-unitary perfect polynomials over $\mathbb{F}_2$ with at most four irreducible factors

Olivier Rahavandrainy

Comments: 15 pages. arXiv admin note: text overlap with arXiv:1810.09697, arXiv:2204.13337

Subjects: Number Theory (math.NT)

[1731] arXiv:2205.08393 [pdf, other]

Title: Full Duplex Massive MIMO Architectures: Recent Advances, Applications, and Future Directions

George C. Alexandropoulos, Md Atiqul Islam, Besma Smida

Comments: 7 pages, 5 figure. Under review for publication in IEEE Vehicular Technology Magazine, 2022

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

[1732] arXiv:2205.08396 [pdf, other]

Title: On approximation of the Dirichlet problem for divergence form operator by Robin problems

Andrzej Rozkosz, Leszek Slominski

Journal-ref: Arch. Math. (Basel) 121 (2023) 407-417

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

[1733] arXiv:2205.08401 [pdf, other]

Title: Multifunctorial $K$-Theory is an Equivalence of Homotopy Theories

Niles Johnson, Donald Yau

Comments: 20 pages. Final version. To appear in Journal of Homotopy and Related Structures

Journal-ref: Journal of Homotopy and Related Structures 17 (2022), 569-592

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT); K-Theory and Homology (math.KT)

[1734] arXiv:2205.08402 [pdf, other]

Title: Simultaneous Multi-User MIMO Communications and Multi-Target Tracking with Full Duplex Radios

Md Atiqul Islam, George C. Alexandropoulos, Besma Smida

Comments: 6 pages, 5 figures. Submitted for publication in the Proceedings of IEEE Global Communications Conference (GLOBECOM), 2022

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

[1735] arXiv:2205.08406 [pdf, other]

Title: Raw Radar data based Object Detection and Heading estimation using Cross Attention

Ravi Kothari, Ali Kariminezhad, Christian Mayr, Haoming Zhang

Subjects: Information Theory (cs.IT)

[1736] arXiv:2205.08410 [pdf, other]

Title: Double Satake diagrams and canonical forms in compact symmetric triads

Kurando Baba, Osamu Ikawa

Comments: 34 pages. Typos corrected

Subjects: Differential Geometry (math.DG)

[1737] arXiv:2205.08415 [pdf, other]

Title: Entire solutions of the generalized Hessian inequality

Xiang Li, Jing Hao, Jiguang Bao

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

[1738] arXiv:2205.08428 [pdf, other]

Title: Rigidity of 3D spherical caps via $\mu$-bubbles

Yuhao Hu, Peng Liu, Yuguang Shi

Comments: 20 pages, 1 figure, All comments are welcome

Journal-ref: Pacific Journal of Mathematics 323(1) (2023), 89-114

Subjects: Differential Geometry (math.DG)

[1739] arXiv:2205.08429 [pdf, other]

Title: The singular Yoneda category and the stabilization functor

Xiao-Wu Chen, Zhengfang Wang

Comments: 28 pages, comments welcome

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

[1740] arXiv:2205.08433 [pdf, other]

Title: Admissible modules and normality of classical nilpotent orbits II

Dan Barbasch, Kayue Daniel Wong

Comments: 17 pages, preliminary version. This work is a sequel to arXiv:1801.06909

Subjects: Representation Theory (math.RT)

[1741] arXiv:2205.08436 [pdf, other]

Title: Uniform density estimates and $\Gamma$-convergence for the Alt-Phillips functional of negative powers

Daniela De Silva, Ovidiu Savin

Subjects: Analysis of PDEs (math.AP)

[1742] arXiv:2205.08442 [pdf, other]

Title: Flatness of the nuclear norm sphere, simultaneous polarization, and uniqueness in nuclear norm minimization

Tim Hoheisel, Elliot Paquette

Subjects: Optimization and Control (math.OC)

[1743] arXiv:2205.08446 [pdf, other]

Title: Last-Iterate Convergence of Optimistic Gradient Method for Monotone Variational Inequalities

Eduard Gorbunov, Adrien Taylor, Gauthier Gidel

Comments: NeurIPS 2022. 21 pages, 2 figures. Changes in v2: few typos were fixed, more clarifications were added. Code: this https URL

Subjects: Optimization and Control (math.OC)

[1744] arXiv:2205.08450 [pdf, other]

Title: On the exactness for polynomial optimization strengthened with Fritz John conditions

Ngoc Hoang Anh Mai

Comments: It has been included in arXiv:2205.04254

Subjects: Optimization and Control (math.OC); Algebraic Geometry (math.AG)

[1745] arXiv:2205.08453 [pdf, other]

Title: Sequential Parametrized Motion Planning and its Complexity

Michael Farber, Amit Kumar Paul

Subjects: Algebraic Topology (math.AT)

[1746] arXiv:2205.08456 [pdf, other]

Title: Intersection theorems for finite general linear groups

Alena Ernst, Kai-Uwe Schmidt

Comments: 34 pages, minor changes

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

[1747] arXiv:2205.08457 [pdf, other]

Title: A Note on Quantum Odometers

Slawomir Klimek, Matt McBride, John Wilson Peoples

Subjects: Operator Algebras (math.OA)

[1748] arXiv:2205.08458 [pdf, other]

Title: Secure Summation: Capacity Region, Groupwise Key, and Feasibility

Yizhou Zhao, Hua Sun

Subjects: Information Theory (cs.IT)

[1749] arXiv:2205.08466 [pdf, other]

Title: On a Ramanujan type expansion of arithmetical functions

Arya Chandran, K Vishnu Namboothiri

Comments: The techniques which we adopted here can be used to derive infinite series expansions of some arithmetical functions using some other generalizations of Ramanujan sum

Subjects: Number Theory (math.NT)

[1750] arXiv:2205.08474 [pdf, other]

Title: Maximal Chordal Subgraphs

Lior Gishboliner, Benny Sudakov

Subjects: Combinatorics (math.CO)