Mathematics

Authors and titles for March 2022

[2851] arXiv:2203.14450 [pdf, other]

Title: Hyperbolic L-space knots and their formal semigroups

Masakazu Teragaito

Comments: 18 pages, 14 figures: Corrected typos and revised some points. The result is the same, but the last part of the proof of Theorem 5.1 is corrected

Subjects: Geometric Topology (math.GT)

[2852] arXiv:2203.14458 [pdf, other]

Title: Moments of Dirichlet $L$-functions to a fixed modulus over function fields

Peng Gao, Liangyi Zhao

Comments: 16 pages

Journal-ref: Int. J. Number Theory, vol. 20, 2024, no. 6, pp. 1493--1513

Subjects: Number Theory (math.NT)

[2853] arXiv:2203.14460 [pdf, other]

Title: The balanced superelliptic mapping class groups are generated by three elements

Genki Omori

Comments: 17 pages, 11 figures. arXiv admin note: substantial text overlap with arXiv:2203.13413

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

[2854] arXiv:2203.14462 [pdf, other]

Title: Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation

Anne de Bouard, Arnaud Debussche, Reika Fukuizumi

Comments: arXiv admin note: substantial text overlap with arXiv:2101.10106

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

[2855] arXiv:2203.14480 [pdf, other]

Title: Instability for rank one factors of product actions

Kurt Vinhage

Subjects: Dynamical Systems (math.DS)

[2856] arXiv:2203.14483 [pdf, other]

Title: Closed $k$-Schur Katalan functions as $K$-homology Schubert representatives of the affine Grassmannian

Takeshi Ikeda, Shinsuke Iwao, Satoshi Naito

Comments: 36 pages, 2 figures

Journal-ref: Trans. Amer. Math. Soc. Ser. B 11 (2024), 667-702

Subjects: Combinatorics (math.CO); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); K-Theory and Homology (math.KT); Representation Theory (math.RT)

[2857] arXiv:2203.14491 [pdf, other]

Title: A nonlocal Stokes system with volume constraints

Qiang Du, Zuoqiang Shi

Comments: accepted for publication in Numerical Mathematics: Theory, Methods and Applications

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

[2858] arXiv:2203.14492 [pdf, other]

Title: Equilibrium in Two-Player Stochastic Games with Shift-Invariant Payoffs

János Flesch, Eilon Solan

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

[2859] arXiv:2203.14501 [pdf, other]

Title: Space-Time Block Coded Reconfigurable Intelligent Surface-Based Received Spatial Modulation

Ferhat Bayar, Onur Salan, Haci Ilhan, Erdogan Aydin

Comments: 8 pages, 5 figures, 4 tables

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

[2860] arXiv:2203.14502 [pdf, other]

Title: A virtualized skein relation for a multivariable polynomial invariant

Moemi Hiraki

Comments: 8 pages, 15 figures

Subjects: Geometric Topology (math.GT)

[2861] arXiv:2203.14515 [pdf, other]

Title: A measure model for the spread of viral infections with mutations

Xiaoqian Gong, Benedetto Piccoli

Subjects: Analysis of PDEs (math.AP)

[2862] arXiv:2203.14521 [pdf, other]

Title: Faces of Directed Edge Polytopes

Yasuhide Numata, Yusuke Takahashi, Dai Tamaki

Comments: 19 pages

Subjects: Combinatorics (math.CO)

[2863] arXiv:2203.14522 [pdf, other]

Title: Comparative Performance of Novel Nodal-to-Edge finite elements over Conventional Nodal element for Electromagnetic Analysis

Durgarao Kamireddy, Saurabh Madhukar Chavan, Arup Nandy

Comments: 21 pages, 25 figures

Subjects: Numerical Analysis (math.NA)

[2864] arXiv:2203.14524 [pdf, other]

Title: Pontryagin calculus in Riemannian geometry

François Dubois (LMO, LMSSC), Danielle Fortuné (PPRIME), Juan Antonio Rojas Quintero (SWJTU, CONACYT), Claude Vallée (PPRIME)

Journal-ref: Geometric Science of Information - Second International Confer- ence, GSI 2015, Oct 2015, Palaiseau, France

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph)

[2865] arXiv:2203.14528 [pdf, other]

Title: Asymptotic geometry and delta-points

Trond A. Abrahamsen, Vegard Lima, André Martiny, Yoël Perreau

Comments: 29 pages

Subjects: Functional Analysis (math.FA)

[2866] arXiv:2203.14530 [pdf, other]

Title: Acceleration of multiple precision solver for ill-conditioned algebraic equations with lower precision eigensolver

Tomonori Kouya

Subjects: Numerical Analysis (math.NA)

[2867] arXiv:2203.14532 [pdf, other]

Title: Joint Active and Passive Beamforming Design for IRS-Aided Radar-Communication

Meng Hua, Qingqing Wu, Chong He, Shaodan Ma, Wen Chen

Comments: This paper answers the fundamental question: whether the dedicated radar signals are needed under two considered scenarios. The manuscript has been submitted to IEEE journal for possible publication

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

[2868] arXiv:2203.14534 [pdf, other]

Title: A Combinatorial Proof of a generalization of a Theorem of Frobenius

Supravat Sarkar

Comments: Accepted for publication in "The Mathematics Student" Journal

Subjects: Group Theory (math.GR)

[2869] arXiv:2203.14535 [pdf, other]

Title: Asymptotic analysis of k-hop connectivity in the 1D unit disk random graph model

Nicolas Privault

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

[2870] arXiv:2203.14543 [pdf, html, other]

Title: On The Two Types Of Affine Structures For Degenerating Kummer Surfaces -Non-Archimedean VS Gromov-Hausdorff Limits-

Keita Goto

Comments: 34 pages. v2: Published version, which corrected Lemma 3.17 in the previous version and improved exposition throughout. The main theorem remains unchanged

Journal-ref: New York J. Math. 29 (2023) 708-738

Subjects: Algebraic Geometry (math.AG)

[2871] arXiv:2203.14548 [pdf, other]

Title: Average order in wreath products

Supravat Sarkar

Subjects: Group Theory (math.GR)

[2872] arXiv:2203.14552 [pdf, other]

Title: Poisson-Lie Group structures on semidirect products

Floris Elzinga, Makoto Yamashita

Comments: 17 pages

Subjects: Quantum Algebra (math.QA)

[2873] arXiv:2203.14554 [pdf, other]

Title: An algebraic convergence rate for the optimal control of McKean-Vlasov dynamics

Pierre Cardaliaguet (CEREMADE), Samuel Daudin (CEREMADE), Joe Jackson, Panagiotis Souganidis

Subjects: Optimization and Control (math.OC)

[2874] arXiv:2203.14558 [pdf, other]

Title: Large coupling in a FitzHugh-Nagumo neural network: quantitative and strong convergence results

Alain Blaustein (IMT)

Subjects: Analysis of PDEs (math.AP)

[2875] arXiv:2203.14560 [pdf, other]

Title: First steps towards $q$-deformed Clifford analysis

Martha Lina Zimmermann, Swanhild Bernstein, Baruch Schneider

Comments: 13 pages, minor corrections in Example 3

Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph)

[2876] arXiv:2203.14562 [pdf, other]

Title: The distance to cubic symmetry class as a polynomial optimization problem

Perla Azzi (IMJ-PRG (UMR\_7586)), Rodrigue Desmorat (LMPS), Boris Kolev (LMPS), Fabien Priziac (LMBA)

Subjects: Optimization and Control (math.OC); Classical Physics (physics.class-ph)

[2877] arXiv:2203.14566 [pdf, other]

Title: On spanning tree edge denpendences of graphs

Yujun Yang, Can Xu

Subjects: Combinatorics (math.CO)

[2878] arXiv:2203.14567 [pdf, html, other]

Title: Achieving the Highest Possible Elo Rating

Rikhav Shah

Subjects: Combinatorics (math.CO); Computer Science and Game Theory (cs.GT)

[2879] arXiv:2203.14571 [pdf, other]

Title: On the Christoffel function and classification in data analysis

Jean-Bernard Lasserre (IMT, LAAS-MAC)

Subjects: Optimization and Control (math.OC)

[2880] arXiv:2203.14573 [pdf, other]

Title: Detection threshold for correlated Erd\H{o}s-R\'enyi graphs via densest subgraphs

Jian Ding, Hang Du

Comments: 21 pages; minor revision

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

[2881] arXiv:2203.14582 [pdf, other]

Title: Two Geometric Interpretations of Hardy Sums

Alessandro Lägeler

Comments: v2: 17 pages, added the second interpretation; comments welcome!

Subjects: Number Theory (math.NT)

[2882] arXiv:2203.14583 [pdf, html, other]

Title: Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated

Ana María Botero, José Ignacio Burgos Gil, David Holmes, Robin de Jong

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[2883] arXiv:2203.14584 [pdf, other]

Title: Geometry of hyperbolic Cauchy-Riemann singularities and KAM-like theory for holomorphic involutions

Laurent Stolovitch, Zhiyan Zhao

Comments: To appear in Math. Ann

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

[2884] arXiv:2203.14587 [pdf, other]

Title: On virtual embeddings of braid groups into mapping class groups of surfaces

Takuya Katayama, Erika Kuno

Comments: 30 pages, 5 figures

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

[2885] arXiv:2203.14594 [pdf, other]

Title: A flow approach to the prescribed Gaussian curvature problem in $\mathbb{H}^{n+1}$

Haizhong Li, Ruijia Zhang

Comments: 31 pages, comments welcome

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

[2886] arXiv:2203.14596 [pdf, other]

Title: Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-Projection-type method for gas dynamics

Rémi Bourgeois, Pascal Tremblin, Samuel Kokh, Thomas Padioleau

Subjects: Numerical Analysis (math.NA)

[2887] arXiv:2203.14598 [pdf, other]

Title: Isometric orbit equivalence for probability-measure preserving actions

Matthieu Joseph

Comments: Appendix added. Minor bug fixes and improvements. Comments welcome

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

[2888] arXiv:2203.14602 [pdf, other]

Title: Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model

Matthieu Hillairet (IMAG), Hélène Mathis (LMJL), Nicolas Seguin (IRMAR)

Subjects: Analysis of PDEs (math.AP)

[2889] arXiv:2203.14605 [pdf, other]

Title: New orthogonality relations for super-Jack polynomials and an associated Lassalle--Nekrasov correspondence

Martin Hallnäs

Comments: 24 pages. In v2 some of the material has been somewhat reorganised and rewritten, an appendix on convergence of generalised hypergeometric series associated with super-Jack polynomials has been added and some corrections have been made

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

[2890] arXiv:2203.14624 [pdf, other]

Title: Sobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature

Yuxin Dong, Hezi Lin, Lingen Lu

Comments: In this version, we correct some typos and update the references

Subjects: Differential Geometry (math.DG)

[2891] arXiv:2203.14626 [pdf, other]

Title: A proof of Toponogov's theorem in Alexandrov geometry

Shengqi Hu, Xiaole Su, Yusheng Wang

Comments: 5 pages

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

[2892] arXiv:2203.14627 [pdf, other]

Title: Composite Anderson acceleration method with dynamic window-sizes and optimized damping

Kewang Chen, Cornelis Vuik

Comments: 20 pages and 10 figures. arXiv admin note: text overlap with arXiv:2202.05295

Subjects: Numerical Analysis (math.NA)

[2893] arXiv:2203.14636 [pdf, other]

Title: A 3D Positioning-based Channel Estimation Method for RIS-aided mmWave Communications

Yaoshen Cui, Haifan Yin, Li Tan, Marco Di Renzo (Fellow, IEEE)

Comments: 11 pages, 8 figures

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

[2894] arXiv:2203.14643 [pdf, other]

Title: Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems

Denis Khimin, Marc C. Steinbach, Thomas Wick

Comments: 46 pages. arXiv admin note: text overlap with arXiv:2110.11004

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[2895] arXiv:2203.14648 [pdf, other]

Title: Renormalization and a-priori bounds for Leray self-similar solutions to the generalized mild Navier-Stokes equations

Denis Gaidashev

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Functional Analysis (math.FA)

[2896] arXiv:2203.14650 [pdf, other]

Title: Large $|k|$ behavior for the reflection coefficient for Davey-Stewartson II equations

Christian Klein, Johannes Sjöstrand, Nikola Stoilov

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

[2897] arXiv:2203.14651 [pdf, other]

Title: Renormalization and existence of the finite-time blow up solutions for a one-dimensional analogue of the Navier-Stokes equations

Denis Gaidashev, Alejandro Luque

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Functional Analysis (math.FA)

[2898] arXiv:2203.14654 [pdf, other]

Title: Mean-Field Type FBSDEs under Domination-Monotonicity Conditions and Application to LQ Problems

Ran Tian, Zhiyong Yu

Subjects: Optimization and Control (math.OC)

[2899] arXiv:2203.14665 [pdf, other]

Title: Quantized function algebras at $q=0$: type $A_{n}$ case

Manabendra Giri, Arup Kumar Pal

Comments: 33 pages, LaTeX2e v2: 34 pages. Some parts, mainly the introduction, rewritten. v3: 36 pages. Some parts rewritten. One reference added. v4: final version. Some material added in Sec 2. Numberings of theorems etc changed to include subsection numbers

Subjects: Quantum Algebra (math.QA); Operator Algebras (math.OA)

[2900] arXiv:2203.14670 [pdf, other]

Title: On the third problem of Halmos on Banach spaces

Lixin Cheng, Junsheng Fang, Chunlan Jiang

Comments: 30pages

Subjects: Functional Analysis (math.FA); Operator Algebras (math.OA)