Mathematics

Authors and titles for January 2022

[2801] arXiv:2201.12668 [pdf, other]

Title: Geometry of positive scalar curvature on complete manifold

Bo Zhu

Subjects: Differential Geometry (math.DG)

[2802] arXiv:2201.12669 [pdf, other]

Title: Identification of MIMO Wiener-type Koopman Models for Data-Driven Model Reduction using Deep Learning

Jan C. Schulze, Danimir T. Doncevic, Alexander Mitsos

Journal-ref: Computers & Chemical Engineering 161 (2022) 107781

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

[2803] arXiv:2201.12671 [pdf, other]

Title: The Gapped $k$-Deck Problem

Rebecca Golm, Mina Nahvi, Ryan Gabrys, Olgica Milenkovic

Subjects: Combinatorics (math.CO)

[2804] arXiv:2201.12676 [pdf, other]

Title: A Deep Learning and Geospatial Data-Based Channel Estimation Technique for Hybrid Massive MIMO Systems

Xiaoyi Zhu, Asil Koc, Robert Morawski, Tho Le-Ngoc

Comments: 18 pages, 21 figures

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

[2805] arXiv:2201.12679 [pdf, other]

Title: Hyperspaces of dimension 1

Alfredo Zaragoza

Subjects: General Topology (math.GN)

[2806] arXiv:2201.12689 [pdf, other]

Title: Hyperbolic band theory through Higgs bundles

Elliot Kienzle, Steven Rayan

Comments: 38 pages, 13 figures, 1 table

Journal-ref: Adv. Math. 409 (2022), paper no. 108664

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Quantum Physics (quant-ph)

[2807] arXiv:2201.12691 [pdf, other]

Title: Coordinate Descent Methods for Fractional Minimization

Ganzhao Yuan

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

[2808] arXiv:2201.12699 [pdf, other]

Title: The B-B-G Transfer Principle for signature four

P.L. Robinson

Subjects: Classical Analysis and ODEs (math.CA)

[2809] arXiv:2201.12703 [pdf, html, other]

Title: Mirror Symmetry for log Calabi-Yau Surfaces II

Jonathan Lai, Yan Zhou

Comments: Lemma 6.11 added

Subjects: Algebraic Geometry (math.AG)

[2810] arXiv:2201.12707 [pdf, other]

Title: On the analytic structure of the $H^\infty$ maximal ideal space

Daniel Suárez

Comments: 18 pages

Journal-ref: International Journal of Mathematics, Game Theory and Algebra 11 (2001) N1, 15-32

Subjects: Functional Analysis (math.FA)

[2811] arXiv:2201.12711 [pdf, other]

Title: Extension of Stein's lemma derived by using an integration by differentiation technique

Konstantinos Mamis

Comments: 5 pages

Journal-ref: Examples and Counterexamples 2 (2022) 100077

Subjects: Probability (math.PR)

[2812] arXiv:2201.12714 [pdf, other]

Title: The Complete SC-invariant Affine Automorphisms of Polar Codes

Zicheng Ye, Yuan Li, Huazi Zhang, Rong Li, Jun Wang, Guiying Yan, Zhiming Ma

Subjects: Information Theory (cs.IT)

[2813] arXiv:2201.12717 [pdf, other]

Title: Maclaurin Integration: A Weapon Against Infamous Integrals

Glenn Bruda

Comments: 11 pages, 2 figures

Subjects: General Mathematics (math.GM)

[2814] arXiv:2201.12730 [pdf, other]

Title: Piecewise Probability Distribution Theory

Lev Gelimson (The "Collegium" All World Academy of Sciences, Munich, Germany)

Comments: 57 pages, 5 figures

Subjects: Probability (math.PR)

[2815] arXiv:2201.12732 [pdf, other]

Title: Hamilton-Jacobi equations from mean-field spin glasses

Hong-Bin Chen, Jiaming Xia

Comments: 45 pages; major revision: 1) we directly cited results for finite-dimensional equations from [arXiv:2206.12537] and removed proofs, 2) improved the main result (now independent of the choice of the regularization of the covariance function), and 3) corrected mistakes in handling variational formulas

Subjects: Analysis of PDEs (math.AP); Disordered Systems and Neural Networks (cond-mat.dis-nn); Probability (math.PR)

[2816] arXiv:2201.12734 [pdf, other]

Title: Existence of Ulrich Bundle on general Surfaces

Suratno Basu, Sarbeswar Pal

Comments: Revised version. Lemma 4.1 and Proposition 4.3 has been rewritten

Subjects: Algebraic Geometry (math.AG)

[2817] arXiv:2201.12742 [pdf, other]

Title: Nonlinear Asymptotic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations

Tao Luo, Yan-Lin Wang, Huihui Zeng

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[2818] arXiv:2201.12744 [pdf, other]

Title: Viscosity solutions to Parabolic complex Hessian type equations

Hoang-Son Do

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

[2819] arXiv:2201.12746 [pdf, other]

Title: Efficient Near-Optimal Codes for General Repeat Channels

Francisco Pernice, Ray Li, Mary Wootters

Comments: The prior version incorrectly stated that the constructions of Tal, Pfister and Fazeli require $O(n^4)$ runtime complexity to achieve $e^{-Θ(n)}$ decoding failure probability; the corrected result now included achieves a better tradeoff, and is more subtle to state

Subjects: Information Theory (cs.IT)

[2820] arXiv:2201.12748 [pdf, other]

Title: Stability Results for Bounded Stationary Solutions of Reaction-Diffusion-ODE Systems

Chris Kowall, Anna Marciniak-Czochra, Finn Münnich

Subjects: Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[2821] arXiv:2201.12750 [pdf, other]

Title: Periodic points and arithmetic degrees of certain rational self-maps

Long Wang

Comments: 25 pages. v4: Minor changes, final version

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

[2822] arXiv:2201.12759 [pdf, other]

Title: Some observations on the mildly Menger property and topological games

Manoj Bhardwaj, Alexander V. Osipov

Comments: 12 pages

Subjects: General Topology (math.GN)

[2823] arXiv:2201.12777 [pdf, other]

Title: On the automorphism groups of Lunardon-Polverino scattered linear sets

Wei Tang, Yue Zhou, Ferdinando Zullo

Comments: In the 2nd version, Eq.(15) in Theorem 3.2 has been corrected for even q and odd n

Subjects: Combinatorics (math.CO)

[2824] arXiv:2201.12778 [pdf, other]

Title: The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems

Benoît Collins, Razvan Gurau, Luca Lionni

Comments: 44 pages, 23 figures

Journal-ref: Communications in Mathematical Physics (2023) 401, 669--716

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[2825] arXiv:2201.12779 [pdf, other]

Title: Minimally non-Golod face rings and Massey products

Ivan Limonchenko, Taras Panov

Comments: 3 pages

Journal-ref: Uspekhi Mat. Nauk 77 (2022), no. 4, 203-204

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

[2826] arXiv:2201.12780 [pdf, other]

Title: Period -Index problem for hyperelliptic curves

J.N. Iyer, R.Parimala (with an appendix by S. Ramanan)

Comments: Some typos and a misprint in Definition 1.4, are corrected

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

[2827] arXiv:2201.12781 [pdf, other]

Title: Low Rank Approximation of Dual Complex Matrices

Liqun Qi, David M. Alexander, Zhongming Chen, Chen Ling, Ziyan Luo

Subjects: Numerical Analysis (math.NA); Rings and Algebras (math.RA)

[2828] arXiv:2201.12782 [pdf, other]

Title: SRKCD: a stabilized Runge-Kutta method for stochastic optimization

Tony Stillfjord, Måns Williamson

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

[2829] arXiv:2201.12783 [pdf, other]

Title: On a problem of Romanoff type

Yuchen Ding

Subjects: Number Theory (math.NT)

[2830] arXiv:2201.12788 [pdf, other]

Title: Uniqueness of the critical point for solutions to some $p$-Laplace equations in the plane

William Borrelli, Sunra Mosconi, Marco Squassina

Comments: 20 pages. To appear on a special issue of Rendiconti Lincei: Matematica ed Applicazioni dedicated to Antonio Ambrosetti

Subjects: Analysis of PDEs (math.AP)

[2831] arXiv:2201.12791 [pdf, other]

Title: Integral operators defined "up to a polynomial''

Serena Dipierro, Aleksandr Dzhugan, Enrico Valdinoci

Comments: To appear in Fract. Calc. Appl. Anal

Journal-ref: Published online, Fract Calc Appl Anal (2022)

Subjects: Analysis of PDEs (math.AP)

[2832] arXiv:2201.12797 [pdf, other]

Title: Wasserstein Convergence Rates for Empirical Measures of Subordinated Processes on Noncompact Manifolds

Huaiqian Li, Bingyao Wu

Subjects: Probability (math.PR)

[2833] arXiv:2201.12802 [pdf, html, other]

Title: Berndtsson-Lempert-Sz\H{o}ke Fields Associated to Proper Holomorphic Families of Vector Bundles

Dror Varolin

Comments: 64 pages. Final Version. To appear in Advances in Math

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

[2834] arXiv:2201.12808 [pdf, other]

Title: On symmetries of the Duflo-Serganova functor

Alexander Sherman

Comments: 27 pages; added further explanations to certain sections; expanded introduction with more motivation; accepted for publication to Israel Journal of Mathematics; comments welcome!

Subjects: Representation Theory (math.RT)

[2835] arXiv:2201.12817 [pdf, other]

Title: Topology of Singularities of Optimal Semicouplings

J.H. Martel

Comments: 29 pages, 1 figure

Subjects: Geometric Topology (math.GT)

[2836] arXiv:2201.12820 [pdf, other]

Title: Variation of the Swan conductor of an $\mathbb{F}_{\ell}$-sheaf on a rigid annulus

Amadou Bah

Comments: 34 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[2837] arXiv:2201.12821 [pdf, other]

Title: A reciprocity on finite abelian groups involving zero-sum sequences II

Mao-Sheng Li, Hanbin Zhang

Comments: 16 pages

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[2838] arXiv:2201.12827 [pdf, other]

Title: Counting lattice triangulations: Fredholm equations in combinatorics

S. Yu. Orevkov

Comments: 26 pages, 9 figures. Essencially, v2 is the same as v1, but numerous misprints and inaccuracies are corrected

Subjects: Combinatorics (math.CO)

[2839] arXiv:2201.12839 [pdf, html, other]

Title: Two-Step Mixed-Type Multivariate Bayesian Sparse Variable Selection with Shrinkage Priors

Shao-Hsuan Wang, Ray Bai, Hsin-Hsiung Huang

Comments: 59 pages including Appendices, 3 total figures, 6 total tables. Fixed a few of the proofs

Subjects: Statistics Theory (math.ST)

[2840] arXiv:2201.12840 [pdf, other]

Title: Maximal estimates for the Weyl sums on $\mathbb{T}^{d}$ (with an appendix by Alex Barron)

Changxing Miao, Jiye Yuan, Tengfei Zhao

Comments: 30 pages. In the new version, an appendix by Alex Barron has been added, which gives another new proof of the main result

Journal-ref: J. Func. Anal. 284(2023),109747

Subjects: Number Theory (math.NT); Analysis of PDEs (math.AP)

[2841] arXiv:2201.12841 [pdf, other]

Title: On harmonic symmetries for locally conformally K\"{a}hler manifolds

Teng Huang

Comments: 19 pages, to appear in Annali di Matematica Pura ed Applicata (1923-)

Subjects: Differential Geometry (math.DG)

[2842] arXiv:2201.12844 [pdf, other]

Title: Another view of Bipartite Ramsey numbers

Yaser Rowshan, Mostafa Gholami

Subjects: Combinatorics (math.CO)

[2843] arXiv:2201.12846 [pdf, other]

Title: Combinatorial Cell Complexes: Duality, reconstruction and causal cobordisms

Maxime Savoy

Comments: This thesis has been submitted on February 28 2021 to the PhD School of the Faculty of Science, University of Copenhagen, under the supervision of Bergfinnur Durhuus (ISBN: 978-87-7125-041-1). 120 pages, 24 figures

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[2844] arXiv:2201.12849 [pdf, other]

Title: KMS states on $C_c^{*}(\mathbb{N}^2)$

Anbu Arjunan, Sruthymurali, S. Sundar

Subjects: Operator Algebras (math.OA)

[2845] arXiv:2201.12850 [pdf, other]

Title: Extremal results on stepwise transmission irregular graphs

Yaser Alizadeh, Sandi Klavžar

Subjects: Combinatorics (math.CO)

[2846] arXiv:2201.12856 [pdf, other]

Title: The Circular Matern Covariance Function and its Link to Markov Random Fields on the Circle

Chunfeng Huang, Ao Li

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

[2847] arXiv:2201.12857 [pdf, other]

Title: Fast Relative Entropy Coding with A* coding

Gergely Flamich, Stratis Markou, José Miguel Hernández-Lobato

Subjects: Information Theory (cs.IT)

[2848] arXiv:2201.12860 [pdf, other]

Title: The Addition theorem for two-step nilpotent torsion groups

Menachem Shlossberg

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

[2849] arXiv:2201.12864 [pdf, other]

Title: Spatial analyticity of solutions for a coupled system of generalized KdV equations

A. Atmani, A. Boukarou, D. Benterki, Kh. Zennir

Subjects: Analysis of PDEs (math.AP)

[2850] arXiv:2201.12867 [pdf, other]

Title: The Gini Index in Algebraic Combinatorics and Representation Theory

Grant Kopitzke

Comments: 76 pages, 9 figures

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