Mathematics

Authors and titles for June 2022

[1601] arXiv:2206.07871 [pdf, other]

Title: On strong solutions of time inhomogeneous It\^o's equations with Morrey diffusion and drift

N.V. Krylov

Comments: I found an error

Subjects: Probability (math.PR)

[1602] arXiv:2206.07872 [pdf, other]

Title: On the spectral radius of minimally 2-(edge)-connected graphs with given size

Zhenzhen Lou, Min Gao, Qiongxiang Huang

Comments: 15 pages, 5 figures

Subjects: Combinatorics (math.CO)

[1603] arXiv:2206.07879 [pdf, other]

Title: Extreme ratio between spectral and Frobenius norms of nonnegative tensors

Shengyu Cao, Simai He, Zhening Li, Zhen Wang

Subjects: Numerical Analysis (math.NA)

[1604] arXiv:2206.07880 [pdf, other]

Title: Gradient type estimates for linear elliptic systems from composite materials

Youchan Kim, Pilsoo Shin

Comments: The results of this paper was announced at 'International Conference on Partial Differential Equations Related to Material Science', May 6-9, 2021. One long paper is splitted into two papers 'Gradient type estimates for linear elliptic systems from composite materials' and 'Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients'

Subjects: Analysis of PDEs (math.AP)

[1605] arXiv:2206.07884 [pdf, other]

Title: Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients

Youchan Kim

Comments: The results and the key idea of this paper was announced at 'International Conference on Partial Differential Equations Related to Material Science', May 6-9, 2021. One long paper is splitted into two papers 'Gradient type estimates for linear elliptic systems from composite materials' and 'Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients'

Subjects: Analysis of PDEs (math.AP)

[1606] arXiv:2206.07889 [pdf, other]

Title: Arnoldi-based orthonormal and hierarchical divergence-free polynomial basis and its applications

Sreevatsa Anantharamu, Krishnan Mahesh

Subjects: Numerical Analysis (math.NA)

[1607] arXiv:2206.07890 [pdf, other]

Title: Equivalent Topologies on the Contracting Boundary

Vivian He

Comments: 7 pages, 2 figures

Subjects: Geometric Topology (math.GT); Metric Geometry (math.MG)

[1608] arXiv:2206.07936 [pdf, other]

Title: Universality of regularized regression estimators in high dimensions

Qiyang Han, Yandi Shen

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

[1609] arXiv:2206.07941 [pdf, other]

Title: A theory of traces and the divergence theorem

Moritz Schönherr, Friedemann Schuricht

Comments: 132 pages; v2: Example 4.16 added, some references added

Subjects: Analysis of PDEs (math.AP)

[1610] arXiv:2206.07943 [pdf, other]

Title: Cohomology of $\frak{sl}(2)$ and its applications in prime characteristic

Shujuan Wang, Zhaoxin Li

Subjects: Representation Theory (math.RT)

[1611] arXiv:2206.07944 [pdf, other]

Title: Distributed Online Private Learning of Convex Nondecomposable Objectives

Huqiang Cheng, Xiaofeng Liao, Huaqing Li

Comments: 16 pages, 6 figures

Journal-ref: IEEE Transactions on Network Science and Engineering, 2024

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

[1612] arXiv:2206.07946 [pdf, html, other]

Title: Hermitian structures on a class of quaternionic K\"ahler manifolds

V. Cortés, A. Saha, D. Thung

Comments: v2: 25 pages. The presentation has been improved by defining a doubly integrable HK/QK manifold. Moreover, Theorem 5.6 has been strengthened: in the previous version, it was shown that a certain Hermitian structure is conformally Kähler only if a certain strict condition is satisfied, whereas in the current version, it is shown that this never happens

Subjects: Differential Geometry (math.DG)

[1613] arXiv:2206.07950 [pdf, other]

Title: Invariance principle for the maximal position process of branching Brownian motion in random environment

Haojie Hou, Yan-Xia Ren, Renming Song

Subjects: Probability (math.PR)

[1614] arXiv:2206.07954 [pdf, other]

Title: On the deformation to the normal cone in Arakelov geometry

Dorian Ni

Comments: 31 pages

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

[1615] arXiv:2206.07955 [pdf, other]

Title: The Gauss-Bonnet inequality beyond aspherical conjecture

Jintian Zhu

Comments: Final version, to appear in Math. Ann

Subjects: Differential Geometry (math.DG)

[1616] arXiv:2206.07958 [pdf, other]

Title: Non-restricted representations of contact and special contact Lie superalgebras of odd type

Shujuan Wang, Wende Liu

Subjects: Representation Theory (math.RT)

[1617] arXiv:2206.07961 [pdf, other]

Title: On the maximal abelian subalgebras of the general linear Lie color algebras

Shujuan Wang, Wende Liu

Subjects: Representation Theory (math.RT)

[1618] arXiv:2206.07964 [pdf, other]

Title: Cohomology of $\frak{q}(2)$ in prime characteristic

Shujuan Wang, Yang Liu, Wende Liu

Subjects: Representation Theory (math.RT)

[1619] arXiv:2206.07965 [pdf, other]

Title: Global Gevery regulartiy and analyticity of a weakly dissipative Camassa-Holm equation

Zhiying Meng, Zhaoyang Yin

Comments: 0

Subjects: Analysis of PDEs (math.AP)

[1620] arXiv:2206.07970 [pdf, other]

Title: Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media

Alessio Fumagalli, Francesco Saverio Patacchini

Subjects: Numerical Analysis (math.NA)

[1621] arXiv:2206.07974 [pdf, other]

Title: 2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules

Shujuan Wang, Zhaoxin Li, Xiaomin Tang

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

[1622] arXiv:2206.07983 [pdf, other]

Title: Relative $A_{\rm inf}$-cohomology

Ildar Gaisin, Teruhisa Koshikawa

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

[1623] arXiv:2206.07987 [pdf, other]

Title: Reconfigurable Intelligent Surfaces Empowered Green Wireless Networks with User Admission Control

Jinglian He, Yijie Mao, Yong Zhou, Ting Wang, Yuanming Shi

Comments: Accepted by TCOM, 16 pages, 8 figures

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

[1624] arXiv:2206.07991 [pdf, other]

Title: Cram\'er distance and discretizations of circle expanding maps I: theory

Pierre-Antoine Guihéneuf, Maurizio Monge

Comments: 33 pages, 5 figures

Subjects: Dynamical Systems (math.DS)

[1625] arXiv:2206.07993 [pdf, other]

Title: Families of degenerating Poincar\'e-Einstein metrics on $\mathbb{R}^4$

Carlos A. Alvarado, Tristan Ozuch, Daniel A. Santiago

Comments: 14 pages, 10 figures

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

[1626] arXiv:2206.07995 [pdf, other]

Title: On the Size of Balls and Anticodes of Small Diameter under the Fixed-Length Levenshtein Metric

Daniella Bar-Lev, Tuvi Etzion, Eitan Yaakobi

Comments: arXiv admin note: text overlap with arXiv:2103.01681

Subjects: Information Theory (cs.IT); Combinatorics (math.CO)

[1627] arXiv:2206.08000 [pdf, other]

Title: Cram\'er distance and discretizations of circle expanding maps II: simulations

Pierre-Antoine Guihéneuf, Maurizio Monge

Comments: 29 pages, 18 figures

Subjects: Dynamical Systems (math.DS)

[1628] arXiv:2206.08001 [pdf, other]

Title: On S\'ark\"ozy's theorem for shifted primes

Ben Green

Comments: 104 pages, accepted for publication in JAMS. v3 incorporates some corrections drawn to my attention by the referees

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

[1629] arXiv:2206.08003 [pdf, other]

Title: $L^2$-Quasi-compact and hyperbounded Markov operators

Guy Cohen, Michael lin

Subjects: Probability (math.PR)

[1630] arXiv:2206.08012 [pdf, other]

Title: Small energy stabilization for 1D Nonlinear Klein Gordon Equations

Scipio Cuccagna, Masaya Maeda, Stefano Scrobogna

Subjects: Analysis of PDEs (math.AP)

[1631] arXiv:2206.08022 [pdf, other]

Title: Partial Identifiability for Nonnegative Matrix Factorization

Nicolas Gillis, Róbert Rajkó

Comments: 27 pages, 8 figures, 7 examples. This third version makes minor modifications. Paper accepted in SIAM J. on Matrix Analysis and Applications

Journal-ref: SIAM J. on Matrix Analysis and Applications 44 (1), pp. 27-52, 2023

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Signal Processing (eess.SP); Machine Learning (stat.ML)

[1632] arXiv:2206.08032 [pdf, other]

Title: Upper and lower bounds on the filling radius

Manuel Cuerno, Luis Guijarro

Subjects: Differential Geometry (math.DG)

[1633] arXiv:2206.08043 [pdf, other]

Title: Around the normal derivative lemma

Darya E. Apushkinskaya, Alexander I. Nazarov

Comments: 94 pages

Subjects: Analysis of PDEs (math.AP)

[1634] arXiv:2206.08047 [pdf, other]

Title: Unrestricted deformations of thin elastic structures interacting with fluids

Malte Kampschulte, Sebastian Schwarzacher, Gianmarco Sperone

Comments: 43 pages

Subjects: Analysis of PDEs (math.AP)

[1635] arXiv:2206.08057 [pdf, other]

Title: Pointwise space-time estimates of 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities

Zhigang Wu, Weike Wang

Comments: It has been accepted for publication in SCIENCE CHINA Mathematics

Subjects: Analysis of PDEs (math.AP)

[1636] arXiv:2206.08060 [pdf, other]

Title: On arc fibers of morphisms of schemes

Christopher Chiu, Tommaso de Fernex, Roi Docampo

Comments: v2: 38 pages, minor changes following the referee's report. To appear in J. Eur. Math Soc

Subjects: Algebraic Geometry (math.AG)

[1637] arXiv:2206.08066 [pdf, other]

Title: Existence and multiplicity of solutions involving the $p(x)$-Laplacian equations: On the effect of two nonlocal terms

M.K. Hamdani, L. Mbarki, M. Allaoui, O. Darhouche, D.D. Repovš

Journal-ref: Discrete Contin. Dyn. Syst. Ser. S 16:6 (2023), 1452-1467

Subjects: Analysis of PDEs (math.AP)

[1638] arXiv:2206.08086 [pdf, other]

Title: Low energy points on the sphere and the real projective plane

Carlos Beltrán, Ujué Etayo, Pedro R. López-Gómez

Comments: 17 pages

Subjects: Classical Analysis and ODEs (math.CA)

[1639] arXiv:2206.08095 [pdf, other]

Title: Optimal Resistor Networks

J. Robert Johnson, Mark Walters

Comments: 40 pages incuding 7 page appendix

Subjects: Combinatorics (math.CO); Statistics Theory (math.ST)

[1640] arXiv:2206.08103 [pdf, other]

Title: Remark on ordered braid groups

Igor Nikolaev

Comments: to appear Journal of Topology and Analysis

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

[1641] arXiv:2206.08106 [pdf, other]

Title: Sudoku Number of Graphs

Gee-Choon Lau, J. Maria Jeyaseeli, Wai-Chee Shiu, S. Arumugam

Subjects: Combinatorics (math.CO)

[1642] arXiv:2206.08108 [pdf, other]

Title: Algebraic Properties of Riemannian Manifolds

Youngjoo Chung, Chi-Ok Hwang, Hyun Seok Yang

Comments: A few typos corrected; 40 pages (4 appendices: 16 pages). To appear in General Relativity and Gravitation

Journal-ref: Gen. Rel. Grav. 55, 92 (2023)

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

[1643] arXiv:2206.08113 [pdf, other]

Title: Orthogonality spaces associated with posets

Gejza Jenča

Journal-ref: Jen\v{c}a, G. Orthogonality Spaces Associated with Posets. Order 40, 575-588 (2023)

Subjects: Rings and Algebras (math.RA)

[1644] arXiv:2206.08114 [pdf, other]

Title: Estimates of bubbling solutions of $SU(3)$ Toda systems at critical parameters-Part 2

Juncheng Wei, Lina Wu, Lei Zhang

Comments: 42 pages. arXiv admin note: text overlap with arXiv:2202.10825

Subjects: Analysis of PDEs (math.AP)

[1645] arXiv:2206.08116 [pdf, other]

Title: Splitting fields of $X^n-X-1$ (particularly for $n=5$), prime decomposition and modular forms

Chandrashekhar B. Khare, Alfio Fabio La Rosa, Gabor Wiese

Comments: 14 pages, v2: much smaller polynomial thanks to Jürgen Klüners; v3: extended exposition of liftings of projective representations

Subjects: Number Theory (math.NT)

[1646] arXiv:2206.08125 [pdf, other]

Title: Applications of topological cyclic homology to algebraic K-theory

Bjørn Ian Dundas

Subjects: K-Theory and Homology (math.KT)

[1647] arXiv:2206.08131 [pdf, other]

Title: On the Construction of Euclidean Invariant and Reflection Positive Measures on the Cylindrical Compactification of Distributions

Tamer Tlas

Comments: 14 pages, proof of Lemma 2 expanded and clarified with no change to the results, one reference added and one updated

Subjects: Functional Analysis (math.FA); Mathematical Physics (math-ph); Probability (math.PR)

[1648] arXiv:2206.08134 [pdf, other]

Title: Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations and occurrence of microstructure

Thomas Blesgen, Patrizio Neff

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[1649] arXiv:2206.08142 [pdf, other]

Title: Admissible and sectorial convergence of generalized Poisson integrals on Harmonic $NA$ groups

Utsav Dewan

Comments: 22 pages. arXiv admin note: text overlap with arXiv:2105.04964 by other authors

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

[1650] arXiv:2206.08147 [pdf, other]

Title: Goldstern's principle about unions of null sets

Tatsuya Goto

Subjects: Logic (math.LO)