Mathematics

Authors and titles for June 2022

[1501] arXiv:2206.07243 [pdf, other]

Title: Closed-form Approximation for Performance Bound of Finite Blocklength Massive MIMO Transmission

Xiaohu You, Bin Sheng, Yongming Huang, Wei Xu, Chuan Zhang, Dongming Wang, Pengcheng Zhu, Chen Ji

Subjects: Information Theory (cs.IT)

[1502] arXiv:2206.07254 [pdf, html, other]

Title: Carmichael Numbers with Prime Numbers of Prime Factors

Thomas Wright

Subjects: Number Theory (math.NT)

[1503] arXiv:2206.07256 [pdf, other]

Title: Noise Covariance Estimation in Multi-Task High-dimensional Linear Models

Kai Tan, Gabriel Romon, Pierre C Bellec

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

[1504] arXiv:2206.07262 [pdf, other]

Title: Products of manifolds with fibered corners

Chris Kottke, Frédéric Rochon

Comments: 55 pages. v3 includes minor corrections and clarifications suggested by the reviewers

Subjects: Differential Geometry (math.DG)

[1505] arXiv:2206.07263 [pdf, other]

Title: Contact cylindrical surfaces and a projection of a surface around a parabolic point

Masaru Hasegawa, Yutaro Kabata, Kentaro Saji

Comments: 18 pages; The title and introduction have been revised to be more appropriate

Subjects: Differential Geometry (math.DG)

[1506] arXiv:2206.07265 [pdf, other]

Title: On the Hilbert-type operators acting from function spaces into sequence spaces

Jianjun Jin

Comments: Rocky Mountain Journal of Mathematics, to appear

Journal-ref: Rocky Mountain Journal of Mathematics, 53 (2023), No. 6, 1889-1903

Subjects: Functional Analysis (math.FA)

[1507] arXiv:2206.07268 [pdf, other]

Title: A semiparametric probability distribution estimator of sample maximums

Taku Moriyama

Subjects: Statistics Theory (math.ST)

[1508] arXiv:2206.07274 [pdf, other]

Title: Computational Analysis of Impedance Transformations for Four-Wire Power Networks with Sparse Neutral Grounding

Frederik Geth, Rahmat Heidari, Arpan Koirala

Comments: 9 pages, ACM E-energy 2022

Subjects: Optimization and Control (math.OC)

[1509] arXiv:2206.07276 [pdf, other]

Title: Two-Timescale Optimization for Intelligent Reflecting Surface-Assisted MIMO Transmission in Fast-Changing Channels

Yashuai Cao, Tiejun Lv, Wei Ni

Comments: 15 pages, 11 figures, Accepted by IEEE Transactions on Wireless Communications

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

[1510] arXiv:2206.07283 [pdf, other]

Title: Semisimplicity of \'etale cohomology of certain Shimura varieties

Si Ying Lee

Subjects: Number Theory (math.NT)

[1511] arXiv:2206.07303 [pdf, html, other]

Title: Energetic Variational Neural Network Discretizations of Gradient Flows

Ziqing Hu, Chun Liu, Yiwei Wang, Zhiliang Xu

Comments: 28 pages, 8 figures

Subjects: Numerical Analysis (math.NA)

[1512] arXiv:2206.07312 [pdf, other]

Title: Bott-Chern cohomology of compact Vaisman manifolds

Nicolina Istrati, Alexandra Otiman

Comments: final version, to appear in Trans. Amer. Math. Soc

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

[1513] arXiv:2206.07320 [pdf, other]

Title: Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application

Cesar Cuenca, Grigori Olshanski

Comments: 20 pp; Version 2: minor changes and corrections

Journal-ref: Journal of Lie Theory 33 (2023), no.1, 149-168

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

[1514] arXiv:2206.07325 [pdf, other]

Title: Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions

Xiangjun Meng, Xuelian Bao, Zhengru Zhang

Subjects: Numerical Analysis (math.NA)

[1515] arXiv:2206.07337 [pdf, other]

Title: Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift

Tamotsu Ikeda, Hidenori Katsurada

Comments: arXiv admin note: text overlap with arXiv:1602.06617

Subjects: Number Theory (math.NT)

[1516] arXiv:2206.07342 [pdf, html, other]

Title: Spectrality of Infinite Convolutions and Random Convolutions

Wenxia Li, Jun Jie Miao, Zhiqiang Wang

Comments: 31 pages, final version

Journal-ref: J. Funct. Anal. 287(7): Paper No. 110539, 35 pp, 2024

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

[1517] arXiv:2206.07346 [pdf, other]

Title: On long time behavior of the focusing energy-critical NLS on $\mathbb{R}^d\times\mathbb{T}$ via semivirial-vanishing geometry

Yongming Luo

Comments: arXiv admin note: text overlap with arXiv:2205.04969

Subjects: Analysis of PDEs (math.AP)

[1518] arXiv:2206.07354 [pdf, html, other]

Title: Tur\'an density of cliques of order five in $3$-uniform hypergraphs with quasirandom links

Sören Berger, Simón Piga, Christian Reiher, Vojtěch Rödl, Mathias Schacht

Comments: second version addresses referee reports

Subjects: Combinatorics (math.CO)

[1519] arXiv:2206.07356 [pdf, other]

Title: Quantile-based Random Sparse Kaczmarz for Corrupted and Noisy Linear Systems

Lu Zhang, Hongxia Wang, Hui Zhang

Comments: 30 pages, 6 figures

Subjects: Optimization and Control (math.OC)

[1520] arXiv:2206.07361 [pdf, other]

Title: Patterson-Sullivan theory for groups with a strongly contracting element

Rémi Coulon

Comments: 61 pages, 2 figures. Slightly different definition of contracting tails. Corrected a mistake in Corollary 4.27. The new statement only covers normal subgroups

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

[1521] arXiv:2206.07367 [pdf, other]

Title: On the connection between WRI and FWI: Analysis of the nonlinear term in the Hessian matrix

Ali Gholami, Hossein S. Aghamiry, Stephane Operto

Subjects: Optimization and Control (math.OC)

[1522] arXiv:2206.07371 [pdf, other]

Title: A study of the local dynamics of modified Patankar DeC and higher order modified Patankar RK methods

Thomas Izgin, Philipp Öffner

Comments: 34 pages, 14 Figures

Subjects: Numerical Analysis (math.NA)

[1523] arXiv:2206.07374 [pdf, other]

Title: Wave function asymptotics for scattering of three-particles with Coulomb interaction

S. L. Yakovlev

Comments: 6 pages

Journal-ref: JETP Letters, 2022, Vol. 116, No. 4, pp. 268-274

Subjects: Mathematical Physics (math-ph); Nuclear Theory (nucl-th); Atomic Physics (physics.atom-ph)

[1524] arXiv:2206.07378 [pdf, other]

Title: Discernibility of topological variations for networked LTI systems based on observed output trajectories

Yuqing Hao, Qingyun Wang, Zhisheng Duan, Guanrong Chen

Subjects: Optimization and Control (math.OC)

[1525] arXiv:2206.07379 [pdf, other]

Title: Convergence rates of a dual gradient method for constrained linear ill-posed problems

Qinian Jin

Comments: Accepted

Journal-ref: Numerische Mathematik, 2022

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

[1526] arXiv:2206.07381 [pdf, other]

Title: Pancyclicity in the Cartesian Product $(K_9-C_9 )^n$

Syeda Afiya, M Rajesh

Comments: 6 PAGES, 4 FIGURES

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM)

[1527] arXiv:2206.07398 [pdf, other]

Title: Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species

Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts

Subjects: Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Populations and Evolution (q-bio.PE)

[1528] arXiv:2206.07407 [pdf, other]

Title: Vector-valued holomorphic discrete series and the Laplace transform : an example

Jean-Louis Clerc (IECL)

Subjects: Representation Theory (math.RT)

[1529] arXiv:2206.07408 [pdf, other]

Title: The Geometry of Maximal Flat Submanifolds of Symmetric Spaces

Bart Michels (LAGA)

Subjects: Differential Geometry (math.DG)

[1530] arXiv:2206.07409 [pdf, other]

Title: The Maximal Growth Of Toric Periods and Oscillatory Integrals for Maximal Flat Submanifolds

Bart Michels (LAGA)

Subjects: Number Theory (math.NT); Spectral Theory (math.SP)

[1531] arXiv:2206.07410 [pdf, other]

Title: A hybrid meshing framework adapted to the topography to simulate Atmospheric Boundary Layer flows

Abel Gargallo-Peiró, Matias Avila, Arnau Folch

Comments: 32 pages, 14 figures

Journal-ref: Computer-Aided Design, Volume 144, March 2022, 103168

Subjects: Numerical Analysis (math.NA)

[1532] arXiv:2206.07412 [pdf, other]

Title: The Inverse Semigroup Theory of Elementary Arithmetic

Peter M. Hines

Comments: 21 pages, Updated to correct errors in bibliography

Subjects: Group Theory (math.GR)

[1533] arXiv:2206.07415 [pdf, other]

Title: On Heegaard splittings with finite many pairs of disjoint compression disks

Qiang E, Zhiyan Zhang

Comments: arXiv admin note: text overlap with arXiv:1703.01718

Subjects: Geometric Topology (math.GT)

[1534] arXiv:2206.07420 [pdf, other]

Title: Non Linear Singular Drifts and Fractional Operators

Diego Chamorro (LaMME), Stéphane Menozzi (LaMME)

Subjects: Analysis of PDEs (math.AP)

[1535] arXiv:2206.07424 [pdf, other]

Title: Local Identifiability of Deep ReLU Neural Networks: the Theory

Joachim Bona-Pellissier (IMT), François Malgouyres (IMT), François Bachoc (IMT)

Journal-ref: Advances in Neural Information Processing Systems, Nov 2022, New Orleans, United States

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

[1536] arXiv:2206.07426 [pdf, other]

Title: Uniquely realisable graphs in analytic normed planes

Sean Dewar, John Hewetson, Anthony Nixon

Comments: 40 pages, 16 figures

Subjects: Combinatorics (math.CO); Metric Geometry (math.MG)

[1537] arXiv:2206.07432 [pdf, other]

Title: A short note on compact embeddings of reproducing kernel Hilbert spaces in $L^2$ for infinite-variate function approximation

Marcin Wnuk

Subjects: Functional Analysis (math.FA); Numerical Analysis (math.NA)

[1538] arXiv:2206.07436 [pdf, other]

Title: Optimization of the anisotropic Cheeger constant with respect to the anisotropy

Enea Parini, Giorgio Saracco

Journal-ref: Canad. Math. Bull., 66(3):1030--1043, 2023

Subjects: Optimization and Control (math.OC); Metric Geometry (math.MG)

[1539] arXiv:2206.07451 [pdf, other]

Title: Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation

Charles Elbar, Benoît Perthame, Jakub Skrzeczkowski

Comments: 33 pages, 5 figures

Subjects: Analysis of PDEs (math.AP)

[1540] arXiv:2206.07452 [pdf, other]

Title: Deformations and Extensions of BiHom-alternative algebras

Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf

Subjects: Rings and Algebras (math.RA); Representation Theory (math.RT)

[1541] arXiv:2206.07457 [pdf, other]

Title: Existence and stability results for a coupled system of Hilfer fractional Langevin equation with non local integral boundary value conditions

Khalid Hilal, Ahmed Kajouni, Hamid Lmou

Subjects: Analysis of PDEs (math.AP)

[1542] arXiv:2206.07462 [pdf, other]

Title: Boundaries of capture hyperbolic components

Jie Cao, Xiaoguang Wang, Yongcheng Yin

Comments: 115 pages, 14 figures

Subjects: Dynamical Systems (math.DS)

[1543] arXiv:2206.07465 [pdf, other]

Title: High-fidelity quantitative differential phase contrast deconvolution using dark-field sparse prior

Shuhe Zhang, Tao Peng, Zeyu Ke, Meng Shao, Tos T. J. M. Berendschot, Jinhua Zhou

Subjects: Optimization and Control (math.OC); Information Theory (cs.IT); Optics (physics.optics)

[1544] arXiv:2206.07466 [pdf, other]

Title: Decomposable Blaschke products of degree $2^n$

Asuman Güven Aksoy, Francesca Arici, M. Eugenia Celorrio, Pamela Gorkin

Comments: 26 pages, 8 figures

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[1545] arXiv:2206.07470 [pdf, html, other]

Title: The EKOR-stratification on the Siegel modular variety with parahoric level structure

Manuel Hoff

Comments: 36 pages

Subjects: Algebraic Geometry (math.AG)

[1546] arXiv:2206.07473 [pdf, html, other]

Title: On the degree of varieties of sum of squares

Andrew Ferguson, Giorgio Ottaviani, Mohab Safey El Din, Ettore Teixeira Turatti

Journal-ref: Journal of Pure and Applied Algebra, Volume 228, Number 7, 2024

Subjects: Algebraic Geometry (math.AG)

[1547] arXiv:2206.07474 [pdf, other]

Title: Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs

Lingfeng Li, Xue-cheng Tai, Jiang Yang, Quanhui Zhu

Subjects: Numerical Analysis (math.NA)

[1548] arXiv:2206.07475 [pdf, other]

Title: Neural Control of Discrete Weak Formulations: Galerkin, Least-Squares and Minimal-Residual Methods with Quasi-Optimal Weights

Ignacio Brevis, Ignacio Muga, Kristoffer G. van der Zee

Comments: 35 pages, 9 figures

Journal-ref: Computer Methods in Applied Mechanics and Engineering 2022

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

[1549] arXiv:2206.07482 [pdf, other]

Title: Solution of a NxN System of Linear algebraic Equations: 1 -- The Steepest Descent Method Revisited

Vilas Patwardhan

Comments: 10 pages

Subjects: Optimization and Control (math.OC)

[1550] arXiv:2206.07499 [pdf, other]

Title: Mitigating Intra-Cell Pilot Contamination in Massive MIMO: A Rate Splitting Approach

Anup Mishra, Yijie Mao, Christo Kurisummoottil Thomas, Luca Sanguinetti, Bruno Clerckx

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