Mathematics

Authors and titles for February 2022

[1501] arXiv:2202.07022 [pdf, other]

Title: Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling

Yonggi Park, Kelum Gajamannage, Dilhani I. Jayathilake, Erik M. Bollt

Comments: 15 pages, 9 figures, submitted into "Chaos: An Interdisciplinary Journal of Nonlinear Science"

Subjects: Dynamical Systems (math.DS); Machine Learning (cs.LG); Neural and Evolutionary Computing (cs.NE)

[1502] arXiv:2202.07024 [pdf, other]

Title: Realising perfect derived categories of Auslander algebras of type A as Fukaya-Seidel categories

Ilaria Di Dedda

Comments: 51 pages, 19 figures. To appear in Journal of Symplectic Geometry (2023). Revised after referee's comments. Updated Section 3.2.2 to also give an algebraic proof of the derived equivalence of Auslander algebras of type A and $\tildeΓ_n$. Local changes throughout

Subjects: Symplectic Geometry (math.SG); Representation Theory (math.RT)

[1503] arXiv:2202.07030 [pdf, other]

Title: Least energy solutions for affine $p$-Laplace equations involving subcritical and critical nonlinearities

Edir Junior Ferreira Leite, Marcos Montenegro

Comments: Comments are welcome!

Subjects: Analysis of PDEs (math.AP)

[1504] arXiv:2202.07031 [pdf, other]

Title: Transitions in Stochastic Non-equilibrium Systems: Efficient Reduction and Analysis

Mickaël D. Chekroun, Honghu Liu, James C. McWilliams, Shouhong Wang

Comments: 46 pages, 5 figures

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

[1505] arXiv:2202.07032 [pdf, other]

Title: Peripheral birationality for 3-dimensional convex co-compact $PSL_2\mathbb{C}$ varieties

Ian Agol, Franco Vargas Pallete

Comments: 16 pages, 9 figures. Some typos fixed for v.2. Comments are welcome!

Subjects: Geometric Topology (math.GT)

[1506] arXiv:2202.07041 [pdf, other]

Title: Parabolic methods for ultraspherical interpolation inequalities

Jean Dolbeault, An Zhang

Subjects: Analysis of PDEs (math.AP)

[1507] arXiv:2202.07047 [pdf, other]

Title: Vector Coded Caching Multiplicatively Boosts the Throughput of Realistic Downlink Systems

Hui Zhao, Antonio Bazco-Nogueras, Petros Elia

Subjects: Information Theory (cs.IT)

[1508] arXiv:2202.07051 [pdf, html, other]

Title: Random Expansive Measures

Rafael A. Bilbao, Marlon Oliveira, Eduardo Santana

Comments: This is the published version in Nonlinearity

Journal-ref: Nonlinearity 37 (2024) 095018 (17pp)

Subjects: Dynamical Systems (math.DS)

[1509] arXiv:2202.07053 [pdf, html, other]

Title: Rank-one Boolean tensor factorization and the multilinear polytope

Alberto Del Pia, Aida Khajavirad

Subjects: Optimization and Control (math.OC); Discrete Mathematics (cs.DM)

[1510] arXiv:2202.07055 [pdf, other]

Title: Fourier-Stieltjes transform defined by induced representation on locally compact groups

Y. I. Akakpo, K. Assiamoua, K. Enakoutsa, M. N. Hounkonnou

Comments: 15 pages

Subjects: Functional Analysis (math.FA)

[1511] arXiv:2202.07057 [pdf, other]

Title: Bases equivalent to the unit vector basis of $c_0$ or $\ell_p$

P.G. Casazza

Subjects: Functional Analysis (math.FA)

[1512] arXiv:2202.07062 [pdf, other]

Title: The core of a Grassmannian frame

Peter G. Casazza, Ian Campbell, Tin T. Tran

Subjects: Functional Analysis (math.FA)

[1513] arXiv:2202.07067 [pdf, other]

Title: Torsion theories of simplicial groups with truncated Moore complex

Guillermo López Cafaggi

Subjects: Category Theory (math.CT); Algebraic Topology (math.AT); Rings and Algebras (math.RA)

[1514] arXiv:2202.07069 [pdf, other]

Title: Kantorovich Functors and Characteristic Logics for Behavioural Distances

Sergey Goncharov, Dirk Hofmann, Pedro Nora, Lutz Schröder, Paul Wild

Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO)

[1515] arXiv:2202.07084 [pdf, html, other]

Title: Coalescent point process of branching trees in varying environment

Airam Blancas, Sandra Palau

Subjects: Probability (math.PR)

[1516] arXiv:2202.07089 [pdf, other]

Title: Reconstruction of the stacky approach to de Rham cohomology

Shubhodip Mondal

Comments: 7 pages, comments welcome

Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT)

[1517] arXiv:2202.07090 [pdf, other]

Title: Representation varieties of twisted Hopf links

Ángel González-Prieto, Vicente Muñoz

Comments: 25 pages, 3 figures; v2. Corrected mistake in the E-polynomial in main theorem

Journal-ref: Mediterranean Journal of Mathematics volume 20, 2023

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG)

[1518] arXiv:2202.07095 [pdf, other]

Title: A Degree Formula for Equivariant Cohomology Rings

Mark Blumstein, Jeanne Duflot

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

[1519] arXiv:2202.07100 [pdf, other]

Title: Locally Finite Vertex-Rotary Maps and Coset Graphs with Finite Valency and Finite Edge Multiplicity

Cai Heng Li, Cheryl E. Praeger, Shu Jiao Song

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

[1520] arXiv:2202.07109 [pdf, other]

Title: Asymptotics of the quantization errors for some Markov-type measures with complete overlaps

Sanguo Zhu

Comments: Some typos are corrected

Subjects: Functional Analysis (math.FA); Information Theory (cs.IT)

[1521] arXiv:2202.07110 [pdf, other]

Title: The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation

Nilay Duruk Mutlubas, Igor Leite Freire

Journal-ref: Applicable Analysis, 2022

Subjects: Analysis of PDEs (math.AP)

[1522] arXiv:2202.07112 [pdf, other]

Title: Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions

Frederic Heihoff

Subjects: Analysis of PDEs (math.AP)

[1523] arXiv:2202.07117 [pdf, other]

Title: Positive solutions to multi-critical Schr\"{o}dinger equations

Ziyi Xu, Jianfu Yang

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[1524] arXiv:2202.07124 [pdf, other]

Title: A Measure Characterization of Embedding and Extension Domains for Sobolev, Triebel-Lizorkin, and Besov Spaces on Spaces of Homogeneous Type

Ryan Alvarado, Dachun Yang, Wen Yuan

Comments: arXiv admin note: text overlap with arXiv:2202.06389

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

[1525] arXiv:2202.07137 [pdf, other]

Title: Ultra Wide Band THz IRS Communications: Applications, Challenges, Key Techniques, and Research Opportunities

Wanming Hao, Fuhui Zhou, Ming Zeng, Octavia A. Dobre, Naofal Al-Dhahir

Journal-ref: IEEE Network,2022

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

[1526] arXiv:2202.07140 [pdf, other]

Title: Securing Reconfigurable Intelligent Surface-Aided Cell-Free Networks

Wanming Hao, Junjie Li, Gangcan Sun, Ming Zeng, Octavia A. Dobre

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

[1527] arXiv:2202.07142 [pdf, html, other]

Title: Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces

Quang-Duc Dao

Comments: 34 pages; this version comes from the accepted manuscript of the article published in the Journal of Number Theory

Journal-ref: Journal of Number Theory Journal of Number Theory, Volume 254, January 2024, Pages 65-102

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

[1528] arXiv:2202.07144 [pdf, other]

Title: Agnes Mary Clerke and Mathematics in the Eleventh Encyclopedia Britannica

James S. Wolper

Subjects: History and Overview (math.HO)

[1529] arXiv:2202.07149 [pdf, other]

Title: Saturation for the $3$-uniform loose $3$-cycle

Sean English, Alexandr Kostochka, Dara Zirlin

Comments: 32 pages, 3 figures

Subjects: Combinatorics (math.CO)

[1530] arXiv:2202.07151 [pdf, other]

Title: A compactness theorem for hyperkaehler 4-manifolds with boundary

Hongyi Liu

Subjects: Differential Geometry (math.DG)

[1531] arXiv:2202.07154 [pdf, other]

Title: Optimal range of Haar martingale transforms and its applications

Sergey Astashkin, Jinghao Huang, Marat Pliev, Fedor Sukochev, Dmitriy Zanin

Subjects: Probability (math.PR); Functional Analysis (math.FA)

[1532] arXiv:2202.07155 [pdf, other]

Title: New Penalized Stochastic Gradient Methods for Linearly Constrained Strongly Convex Optimization

Meng Li, Paul Grigas, Alper Atamturk

Subjects: Optimization and Control (math.OC)

[1533] arXiv:2202.07157 [pdf, other]

Title: Phase-insensitive versus phase-sensitive ultrasound absorption tomography in the frequency domain

Santeri Kaupinmäki, Ben Cox, Simon Arridge

Comments: 18 pages, 7 figures. Submitted to Inverse Problems

Subjects: Numerical Analysis (math.NA); Medical Physics (physics.med-ph)

[1534] arXiv:2202.07161 [pdf, other]

Title: Convergence analysis of the harmonic $B_z$ algorithm with single injection current in MREIT

Yizhuang Song, Rosalind Sadleir, Jijun Liu

Subjects: Analysis of PDEs (math.AP)

[1535] arXiv:2202.07176 [pdf, other]

Title: DeepONet-Grid-UQ: A Trustworthy Deep Operator Framework for Predicting the Power Grid's Post-Fault Trajectories

Christian Moya, Shiqi Zhang, Meng Yue, Guang Lin

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[1536] arXiv:2202.07187 [pdf, other]

Title: On the Sample Complexity of Stabilizing LTI Systems on a Single Trajectory

Yang Hu, Adam Wierman, Guannan Qu

Comments: 40 pages, 2 figures, submitted to COLT 2022

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

[1537] arXiv:2202.07196 [pdf, other]

Title: Polar Coded Modulation via Hybrid Bit Labeling

Hanwen Yao, Jinfeng Du, Alexander Vardy

Subjects: Information Theory (cs.IT)

[1538] arXiv:2202.07198 [pdf, other]

Title: A short note on an inequality between KL and TV

Clément L. Canonne

Comments: Update: positive answer to Question 8 ("from the TFL to the BH bound"), communicated to me by Hao-Chung Cheng

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

[1539] arXiv:2202.07213 [pdf, other]

Title: On $q$-commuting co-extensions and $q$-commutant lifting

Bappa Bisai, Sourav Pal, Prajakta Sahasrabuddhe

Comments: 15 Pages

Subjects: Functional Analysis (math.FA)

[1540] arXiv:2202.07216 [pdf, other]

Title: Multiparameter Bernoulli Factories

Renato Paes Leme, Jon Schneider

Subjects: Probability (math.PR); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS)

[1541] arXiv:2202.07227 [pdf, other]

Title: Coordinate rings of some $SL_2$-character varieties

Vicente Muñoz, Jesús Martín Ovejero

Comments: 16 pages, no figures; v2. References added

Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)

[1542] arXiv:2202.07235 [pdf, other]

Title: Radial-recombination for rigid rotational alignment of images and volumes

Aaditya V. Rangan

Comments: 36 pages, 12 figures

Subjects: Numerical Analysis (math.NA)

[1543] arXiv:2202.07236 [pdf, other]

Title: Quantitative Oppenheim Conjecture for Quadratic Forms in 5 Variables over Function Fields

Stephan Baier, Arkaprava Bhandari

Comments: It has been brought to our attention that our result is a special case of Theorem 2.1 in the following paper: Chih-Nung Zhu, "Diophantine inequalities for the non-Archimedean line F_q((1/T))", Acta Arith. 97, No. 3, 253-267 (2001). We were not aware of this work. Further important work in this direction was done by Craig Spencer

Subjects: Number Theory (math.NT)

[1544] arXiv:2202.07238 [pdf, other]

Title: Boundedness of polarized Calabi-Yau fibrations

Junpeng Jiao

Comments: 23 pages; revised argument in sections 3, 4, and 6, results unchanged

Subjects: Algebraic Geometry (math.AG)

[1545] arXiv:2202.07243 [pdf, other]

Title: Projective representations of Heisenberg groups over the rings of order p^2

Sumana Hatui, E. K. Narayanan, Pooja Singla

Comments: 19 pages

Subjects: Group Theory (math.GR)

[1546] arXiv:2202.07250 [pdf, other]

Title: Tropical curves in abelian surfaces I: enumeration of curves passing through points

Thomas Blomme

Comments: 37 pages, 14 figures, comments welcome

Subjects: Algebraic Geometry (math.AG)

[1547] arXiv:2202.07262 [pdf, other]

Title: Stochastic Gradient Descent-Ascent: Unified Theory and New Efficient Methods

Aleksandr Beznosikov, Eduard Gorbunov, Hugo Berard, Nicolas Loizou

Comments: AISTATS 2023. 65 pages, 5 figures, 3 tables. Changes in v2: new results were added (Theorem 2.5 and its corollaries), few typos were fixed, more clarifications were added. Changes in v3: AISTATS formatting was applied, small clarifications were added. Code: this https URL

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

[1548] arXiv:2202.07263 [pdf, other]

Title: Multiple sampling and interpolation in Bergman spaces

Driss Aadi, Carlos Cruz, Andreas Hartmann (IMB), Karim Kellay (IMB)

Subjects: Complex Variables (math.CV)

[1549] arXiv:2202.07266 [pdf, other]

Title: Maximal measure and entropic continuity of Lyapunov exponents for $C^r$ surface diffeomorphisms with large entropy

David Burguet (LPSM (UMR\_8001))

Comments: to appear in Annales Henri Poincar{é}

Subjects: Dynamical Systems (math.DS)

[1550] arXiv:2202.07267 [pdf, other]

Title: High-Throughput Split-Tree Architecture for Nonbinary SCL Polar Decoder

Yaoyu Tao, Cedric Choi

Comments: Accepted in ISCAS 2022

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