Mathematics

Authors and titles for December 2022

[301] arXiv:2212.01642 [pdf, other]

Title: An Elementary Introduction to the Hopf Fibration

David W. Lyons

Comments: 17 pages, 11 figures

Journal-ref: Mathematics Magazine, 76(2):87--98, 2003

Subjects: History and Overview (math.HO); Mathematical Physics (math-ph)

[302] arXiv:2212.01643 [pdf, other]

Title: Rewriting History in Integrable Stochastic Particle Systems

Leonid Petrov, Axel Saenz

Comments: 76 pages, 24 figures. v2: minor typos corrected

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Combinatorics (math.CO); Quantum Algebra (math.QA)

[303] arXiv:2212.01645 [pdf, other]

Title: The truncated moment problem on curves $y=q(x)$ and $yx^\ell=1$

Aljaž Zalar

Comments: 40 pages; To appear in Linear and Multilinear Algebra

Subjects: Functional Analysis (math.FA)

[304] arXiv:2212.01649 [pdf, other]

Title: Extensions of deformed $W$-algebras via $qq$-characters

B. Feigin, M. Jimbo, E. Mukhin

Comments: Latex, 28 pages

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph)

[305] arXiv:2212.01652 [pdf, html, other]

Title: Tangent groupoid and tangent cones in sub-Riemannian geometry

Omar Mohsen

Comments: I made corrections to the article following the referees' remarks. To appear in Duke Mathematical journal

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

[306] arXiv:2212.01655 [pdf, other]

Title: Impact of physical model error on State Estimation for neutronics applications

Y. Conjungo Taumhas, D. Labeurthre, F. Madiot, O. Mula, T. Taddei

Comments: arXiv admin note: text overlap with arXiv:2106.09421

Subjects: Numerical Analysis (math.NA)

[307] arXiv:2212.01656 [pdf, other]

Title: Correlated equilibria for mean field games with progressive strategies

Ofelia Bonesini, Luciano Campi, Markus Fischer

Comments: 37 pages, 1 figure

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

[308] arXiv:2212.01658 [pdf, other]

Title: The Strategic Balance of Games in Logic

Jouko Väänänen

Subjects: Logic (math.LO)

[309] arXiv:2212.01659 [pdf, other]

Title: Data-driven Optimization Approaches to the Power System Planning under Uncertainty

Shuhan Lyu

Subjects: Optimization and Control (math.OC)

[310] arXiv:2212.01664 [pdf, other]

Title: Counting rational curves with an $m$-fold point

Indranil Biswas, Chitrabhanu Chaudhuri, Apratim Choudhury, Ritwik Mukherjee, Anantadulal Paul

Comments: 16 pages, 4 figures

Journal-ref: Advances in Mathematics, 2023

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

[311] arXiv:2212.01666 [pdf, other]

Title: Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems

Paweł Dłotko, Davide Gurnari

Comments: 32 pages, 19 figures. Added remark on multicritical filtrations in section 4, typos corrected

Journal-ref: GigaScience, Volume 12, 2023, giad094

Subjects: Algebraic Topology (math.AT); Computational Geometry (cs.CG); Machine Learning (cs.LG)

[312] arXiv:2212.01668 [pdf, other]

Title: A Gap in the Subrank of Tensors

Matthias Christandl, Fulvio Gesmundo, Jeroen Zuiddam

Comments: 25 pages. Final version

Journal-ref: SIAM J. Applied Alg. Geom., 7 (4), 742-767, 2023

Subjects: Algebraic Geometry (math.AG); Computational Complexity (cs.CC); Combinatorics (math.CO); Quantum Physics (quant-ph)

[313] arXiv:2212.01670 [pdf, other]

Title: On equations $(-1)^{\alpha}p^x+(-1)^{\beta}(2^k(2p+1))^y=z^2$ with Sophie Germain prime $p$

Yuan Li, Jing Zhang, Baoxing Liu

Journal-ref: Involve 17 (2024) 503-518

Subjects: Number Theory (math.NT)

[314] arXiv:2212.01671 [pdf, other]

Title: Heisenberg dynamics for non self-adjoint Hamiltonians: symmetries and derivations

Fabio Bagarello

Comments: In press in Mathematical Physics, Analysis and Geometry

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

[315] arXiv:2212.01677 [pdf, other]

Title: On a four-valued logic of formal inconsistency and formal underterminedness

Marcelo E. Coniglio, G. T. Gomez-Pereira, Martín Figallo

Comments: 29 pages

Subjects: Logic (math.LO)

[316] arXiv:2212.01690 [pdf, other]

Title: On limit theorems for functional autoregressive processes with random coefficients

Sadillo Sharipov

Comments: 12 pages

Subjects: Probability (math.PR)

[317] arXiv:2212.01695 [pdf, other]

Title: Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers

Indranil Biswas, Sebastian Heller, Laura P. Schaposnik

Journal-ref: SIGMA 19 (2023), 067, 23 pages

Subjects: Differential Geometry (math.DG)

[318] arXiv:2212.01702 [pdf, html, other]

Title: On the Asymptotics and the Non-Holonomic Character of First Returns in the Standard Euclidean Lattice

Dorin Dumitraşcu, Liviu Suciu

Comments: 34 pages, 5 figures

Subjects: Combinatorics (math.CO); Probability (math.PR)

[319] arXiv:2212.01712 [pdf, other]

Title: Convergence Analysis of Data Augmentation Algorithms for Bayesian Robust Multivariate Linear Regression with Incomplete Data

Haoxiang Li, Qian Qin, Galin L. Jones

Subjects: Statistics Theory (math.ST); Computation (stat.CO)

[320] arXiv:2212.01715 [pdf, other]

Title: Continuous dependence on parameters for invariant measures and its application to multiscale stochastic systems

Jinghai Shao

Comments: 26 pages

Subjects: Probability (math.PR)

[321] arXiv:2212.01717 [pdf, other]

Title: Variational Bayes for Joint Channel Estimation and Data Detection in Few-Bit Massive MIMO Systems

Ly V. Nguyen, A. Lee Swindlehurst, Duy H. N. Nguyen

Comments: 14 pages, 7 figures, submitted for journal publication

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

[322] arXiv:2212.01719 [pdf, html, other]

Title: Deep Galerkin Method for Mean Field Control Problem

Jingruo Sun

Comments: This submission has been withdrawn by arXiv administrators as the second author was added without their knowledge or consent

Subjects: Optimization and Control (math.OC); Mathematical Finance (q-fin.MF)

[323] arXiv:2212.01720 [pdf, other]

Title: Virtual Element Methods Without Extrinsic Stabilization

Chunyu Chen, Xuehai Huang, Huayi Wei

Comments: 26 pages, 8 figures

Subjects: Numerical Analysis (math.NA)

[324] arXiv:2212.01722 [pdf, other]

Title: Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes

Vyacheslav M. Abramov

Comments: Minor corrections are made. The paper is accepted for publication in "Bulletin of the Australian Mathematical Society"

Subjects: Probability (math.PR)

[325] arXiv:2212.01727 [pdf, other]

Title: Necessity of a logarithmic estimate for hypoellipticity of some degenerately elliptic operators

Timur Akhunov, Lyudmila Korobenko

Comments: Accepted for publication at the Journal of Mathematical Analysis and Applications. 23 pages

Subjects: Analysis of PDEs (math.AP)

[326] arXiv:2212.01728 [pdf, html, other]

Title: ISAC-Enabled Beam Alignment for Terahertz Networks: Scheme Design and Coverage Analysis

Wenrong Chen, Lingxiang Li, Zhi Chen, Yuanwei Liu, Boyu Ning, Tony Quek

Journal-ref: IEEE Trans. Veh. Techno (2024)

Subjects: Information Theory (cs.IT)

[327] arXiv:2212.01733 [pdf, other]

Title: Exploiting Tensor-based Bayesian Learning for Massive Grant-Free Random Access in LEO Satellite Internet of Things

Ming Ying, Xiaoming Chen, Xiaodan Shao

Comments: IEEE Transactions on Communications, 2022

Subjects: Information Theory (cs.IT)

[328] arXiv:2212.01736 [pdf, other]

Title: Downlink Transmission with Heterogeneous URLLC Services: Discrete Signaling With Single-User Decoding

Min Qiu, Yu-Chih Huang, Jinhong Yuan

Comments: 16 pages, 7 figures, accepted by IEEE Journal on Selected Areas in Communications

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

[329] arXiv:2212.01746 [pdf, other]

Title: Mutually orthogonal binary frequency squares of mixed type

Carly Bodkin, Ian M. Wanless

Journal-ref: Fields Inst. Commun. 86, (2024), 1-23

Subjects: Combinatorics (math.CO)

[330] arXiv:2212.01750 [pdf, other]

Title: A non-polybounded absolutely closed $36$-Shelah group

Taras Banakh

Comments: 23 pages

Subjects: Group Theory (math.GR); General Topology (math.GN); Logic (math.LO)

[331] arXiv:2212.01752 [pdf, other]

Title: Sampled-Data Observer Design for Linear Kuramoto-Sivashinsky Systems with Non-Local Output

Iasson Karafyllis, Tarek Ahmed Ali

Comments: 11 pages, 1 figure, submitted to Automatica for possible publication

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

[332] arXiv:2212.01753 [pdf, html, other]

Title: Ergodicity of a generalized probabilistic cellular automaton with parity-based neighbourhoods

Dhruv Bhasin, Sayar Karmakar, Moumanti Podder, Souvik Roy

Comments: 20 pages, 3 figures

Subjects: Probability (math.PR); Combinatorics (math.CO)

[333] arXiv:2212.01765 [pdf, html, other]

Title: Soliton resolution and asymptotic stability of $N$-solitons to the Degasperis-Procesi equation on the line

Xuan Zhou, Zhaoyu Wang, Engui Fan

Comments: 40 pages

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[334] arXiv:2212.01781 [pdf, other]

Title: A note on regular sets in Cayley graphs

Junyang Zhang, Yanhong Zhu

Subjects: Combinatorics (math.CO)

[335] arXiv:2212.01787 [pdf, html, other]

Title: Category-theoretic Reconstruction of Log Schemes from Categories of Reduced fs Log Schemes

Tomoki Yuji

Comments: 31 pages, revised (1), submitted

Subjects: Algebraic Geometry (math.AG); Category Theory (math.CT)

[336] arXiv:2212.01788 [pdf, other]

Title: On the class of matrices with rows that weakly decrease cyclicly from the diagonal

Wouter Kager, Pieter Jacob Storm

Comments: 17 pages, 2 figures; minor changes in introduction, added Figure 1, corrected typos

Journal-ref: Linear Algebra and its Applications 673 pp. 200-219 (2023)

Subjects: Rings and Algebras (math.RA)

[337] arXiv:2212.01792 [pdf, html, other]

Title: Classification by sparse generalized additive models

Felix Abramovich

Subjects: Statistics Theory (math.ST); Machine Learning (cs.LG); Methodology (stat.ME)

[338] arXiv:2212.01797 [pdf, html, other]

Title: Almost Coherence of Higher Direct Images

Tongmu He

Comments: 18 pages. A new lemma 5.3 and more details about the main construction (5.4.5) are added as suggested by the referee. To appear in J. Math. Soc. Japan

Journal-ref: J. Math. Soc. Japan Advance Publication 1-26 (September, 2024)

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

[339] arXiv:2212.01800 [pdf, other]

Title: On Refinements of Wilf-Equivalence for Involutions

Sherry H.F. Yan, Lintong Wang, Robin D.P. Zhou

Comments: 31 pages, 12 figures

Subjects: Combinatorics (math.CO)

[340] arXiv:2212.01805 [pdf, other]

Title: Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system

Shinya Kinoshita, Shohei Nakamura, Akansha Sanwal

Comments: Updated version

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

[341] arXiv:2212.01811 [pdf, other]

Title: On fluctuation-theoretic decompositions via Lindley-type recursions

Onno Boxma, Offer Kella, Michel Mandjes

Subjects: Probability (math.PR)

[342] arXiv:2212.01812 [pdf, other]

Title: The Space of Closed $G_2$-Structures. I. Connections

Pengfei Xu, Kai Zheng

Comments: 51 pages

Journal-ref: Q. J. Math. 75 (2024), no. 1, 333-390

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)

[343] arXiv:2212.01814 [pdf, other]

Title: Remarks on the rational SFT formalism

Janko Latschev

Comments: 24 Pages, no figures. Comments welcome!

Subjects: Symplectic Geometry (math.SG); Quantum Algebra (math.QA)

[344] arXiv:2212.01815 [pdf, other]

Title: Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations

Song-Ren Fu

Subjects: Analysis of PDEs (math.AP)

[345] arXiv:2212.01822 [pdf, other]

Title: Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem

Weimin Sheng, Ke Xue

Comments: This is a revised version of an early paper. arXiv admin note: text overlap with arXiv:1712.07774; text overlap with arXiv:2103.00189 by other authors

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

[346] arXiv:2212.01824 [pdf, other]

Title: A flow approach to the Orlicz-Minkowski problem for torsional rigidity

Weimin Sheng, Ke Xue

Comments: 27 pages. arXiv admin note: substantial text overlap with arXiv:2108.11657

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

[347] arXiv:2212.01826 [pdf, other]

Title: Idempotents and homology of diagram algebras

Guy Boyde

Comments: 40 pages, comments welcome. Added comments (esp Rmks 1.5, 1.15) which relate this paper to cellular algebras in the sense of Graham-Lehrer

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

[348] arXiv:2212.01835 [pdf, other]

Title: Ill/well-posedness of non-diffusive active scalar equations with physical applications

Susan Friedlander, Anthony Suen, Fei Wang

Subjects: Analysis of PDEs (math.AP)

[349] arXiv:2212.01845 [pdf, other]

Title: Kakeya maximal inequality in the Heisenberg group

Katrin Fässler, Andrea Pinamonti, Pietro Wald

Comments: 17 pages

Subjects: Classical Analysis and ODEs (math.CA); Metric Geometry (math.MG)

[350] arXiv:2212.01848 [pdf, html, other]

Title: Convergence of ease-controlled Random Reshuffling gradient Algorithms under Lipschitz smoothness

Ruggiero Seccia, Corrado Coppola, Giampaolo Liuzzi, Laura Palagi

Comments: Add author, add references, correct typos, improve imoplementation

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