Mathematics

Authors and titles for November 2022

[1401] arXiv:2211.06730 [pdf, html, other]

Title: Some stability results of positive mass theorem for uniformly asymptotically flat $3$-manifolds

Conghan Dong

Comments: some improvements; final version

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc)

[1402] arXiv:2211.06736 [pdf, other]

Title: Sublogarithmic-transexponential series

Adele Padgett

Comments: 78 pages. Comments welcome

Subjects: Logic (math.LO)

[1403] arXiv:2211.06744 [pdf, other]

Title: Graph Irregularity Characterization with Particular Regard to Bidegreed Graphs

Ali Ghalavand, Tamás Réti, Igor Z. Milovanović, Ali Reza Ashrafi

Subjects: Combinatorics (math.CO)

[1404] arXiv:2211.06749 [pdf, other]

Title: Bertrand's paradox on a monitor

Martin Klazar

Comments: 21 pages, e-mail and affiliation added, very minor fixes

Subjects: Probability (math.PR); Classical Analysis and ODEs (math.CA); History and Overview (math.HO)

[1405] arXiv:2211.06754 [pdf, other]

Title: Geometry of the logarithmic Hodge moduli space (with an Appendix joint with Siqing Zhang)

Mark Andrea A. de Cataldo, Andres Fernandez Herrero

Comments: 38 pages. Accepted version of the article. Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[1406] arXiv:2211.06760 [pdf, other]

Title: Locally nilpotent polynomials over $\mathbb{Z}$

Sayak Sengupta

Comments: 18 pages, 0 figures. Comments are welcome!

Subjects: Number Theory (math.NT)

[1407] arXiv:2211.06763 [pdf, other]

Title: Some cases of the Zilber-Pink conjecture for curves in $\mathcal{A}_g$

Georgios Papas

Comments: Revisions to the exposition. Comments welcome!

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

[1408] arXiv:2211.06768 [pdf, other]

Title: Weakly asymptotically quasiperiodic solutions for time-dependent Hamiltonians with a view to celestial mechanics

Donato Scarcella

Subjects: Dynamical Systems (math.DS)

[1409] arXiv:2211.06772 [pdf, other]

Title: Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field

M. G. Naber

Journal-ref: J. Math. Phys. 60, 102101 (2019)

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[1410] arXiv:2211.06776 [pdf, other]

Title: The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities

Benjamin Tighe

Comments: 41 pages; major revisions made for exposition and clarity; new Lemma 3.4

Subjects: Algebraic Geometry (math.AG)

[1411] arXiv:2211.06779 [pdf, other]

Title: Ergodicity and synchronization of the Kardar-Parisi-Zhang equation

Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen

Comments: 94 pages

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

[1412] arXiv:2211.06784 [pdf, other]

Title: Duality Related with Key Varieties of $\mathbb{Q}$-Fano 3-folds. I

Hiromichi Takagi

Subjects: Algebraic Geometry (math.AG)

[1413] arXiv:2211.06795 [pdf, other]

Title: Correlation length lower bound for the random-field Potts model with the greedy lattice animal

Pete Rigas

Comments: V2, 7 pages, minor change on last page

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

[1414] arXiv:2211.06802 [pdf, other]

Title: Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells

Neil J.Y. Fan, Peter L. Guo, Rui Xiong

Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG)

[1415] arXiv:2211.06803 [pdf, html, other]

Title: Geometric structures in Topology, Geometry, Global Analysis and Dynamics

Christoforos Neofytidis

Comments: 36 pages, survey chapter; v2: final version, to appear in the book "In the tradition of Thurston III", edited by K. Ohshika and A. Papadopoulos

Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT); Differential Geometry (math.DG); Dynamical Systems (math.DS); Group Theory (math.GR)

[1416] arXiv:2211.06805 [pdf, other]

Title: Computation of partition functions of free fermionic solvable lattice models via permutation graphs

Chenyang Zhong

Comments: 30 pages

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO)

[1417] arXiv:2211.06809 [pdf, other]

Title: Stochastic optimization: Glauber dynamics versus stochastic cellular automata

Bruno Hideki Fukushima-Kimura, Yoshinori Kamijima, Kazushi Kawamura, Akira Sakai

Comments: to appear in the Transactions of the Institute of Systems, Control and Information Engineers 36 (2023)

Subjects: Optimization and Control (math.OC); Mathematical Physics (math-ph); Probability (math.PR)

[1418] arXiv:2211.06810 [pdf, html, other]

Title: A Short Proof for the Polynomiality of the Stretched Littlewood-Richardson Coefficients

Warut Thawinrak

Comments: This is an updated version

Subjects: Combinatorics (math.CO)

[1419] arXiv:2211.06819 [pdf, other]

Title: On the Mod $p$ Cohomology of Pro-$p$ Iwahori Subgroups of $\operatorname{SL}_{n}(\mathbb Q_{p})$

Daniel Kongsgaard

Subjects: Number Theory (math.NT)

[1420] arXiv:2211.06821 [pdf, other]

Title: Factoring using multiplicative relations modulo $n$: a subexponential algorithm inspired by the index calculus

Katherine E. Stange

Comments: 7 pages

Subjects: Number Theory (math.NT); Cryptography and Security (cs.CR)

[1421] arXiv:2211.06831 [pdf, other]

Title: Densities and Weights of Quotients of Precompact Abelian Groups

Dekui Peng

Comments: 28pages

Subjects: Group Theory (math.GR); General Topology (math.GN)

[1422] arXiv:2211.06836 [pdf, html, other]

Title: Symmetry of hypersurfaces with symmetric boundary

Hui Ma, Chao Qian, Jing Wu, Yongsheng Zhang

Comments: 25 pages, 8 figures; Revised, results unchanged

Subjects: Differential Geometry (math.DG)

[1423] arXiv:2211.06842 [pdf, html, other]

Title: On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety

Si Duc Quang, Do Thi Thuy Hang

Comments: In this version, the paper is re-written shorter and more simplify. The title and abstract of the paper are changed. Some typos are cleared. The paper consists of 18 pages

Subjects: Differential Geometry (math.DG)

[1424] arXiv:2211.06845 [pdf, other]

Title: The Canonical Component of the nilfibre for Parabolic adjoint action in type $A$

Yasmine Fittouhi, Anthony Joseph

Subjects: Representation Theory (math.RT)

[1425] arXiv:2211.06848 [pdf, html, other]

Title: Multiple transitivity except for a system of imprimitivity

Colin D. Reid

Comments: 42 pages; journal accepted version

Journal-ref: Journal of Group Theory, vol. 27, no. 4, 2024, pp. 651-712.

Subjects: Group Theory (math.GR)

[1426] arXiv:2211.06851 [pdf, other]

Title: The Composition Tableau and Reconstruction of the Canonical Weierstrass Section for Parabolic Adjoint Action in type $A$

Yasmine Fittouhi, Anthony Joseph

Subjects: Representation Theory (math.RT)

[1427] arXiv:2211.06859 [pdf, other]

Title: Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation

Niall Bootland, Sahar Borzooei, Victorita Dolean, Pierre-Henri Tournier

Subjects: Numerical Analysis (math.NA)

[1428] arXiv:2211.06865 [pdf, other]

Title: Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification

Taisei Asai, Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai, Takiko Sasaki

Comments: 78 pages. This is the first part in the present subject. Part II entitled "Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II - Dynamical Correspondence" is also uploaded (arXiv:2211.06868). In v2, unclear expressions are corrected

Subjects: Classical Analysis and ODEs (math.CA)

[1429] arXiv:2211.06868 [pdf, other]

Title: Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II -- Dynamical Correspondence

Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai, Akitoshi Takayasu

Comments: 51 pages. This is the first part in the present subject. Part I entitled "Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I - Method and Justification" is also uploaded (arXiv:2211.06865). In v2, several expressions are unified

Subjects: Classical Analysis and ODEs (math.CA)

[1430] arXiv:2211.06871 [pdf, other]

Title: A bijection for length-$5$ patterns in permutations

Joanna N. Chen, Zhicong Lin

Comments: Final remarks are added: 28 pages, 6 figures

Subjects: Combinatorics (math.CO)

[1431] arXiv:2211.06875 [pdf, other]

Title: Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space

Haizhong Li, Botong Xu

Comments: 156 pages, 7 figures. Comments are welcome

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

[1432] arXiv:2211.06876 [pdf, other]

Title: Real circles tangent to 3 conics

Paul Breiding, Julia Lindberg, Wern Juin Gabriel Ong, Linus Sommer

Comments: 22 pages

Subjects: Algebraic Geometry (math.AG)

[1433] arXiv:2211.06879 [pdf, other]

Title: On composition and Right Distributive Law for formal power series of multiple variables

Dariusz Bugajewski, Alessia Galimberti, Piotr Maćkowiak

Comments: An error in data of reference [4] was corrected

Subjects: Commutative Algebra (math.AC)

[1434] arXiv:2211.06908 [pdf, other]

Title: The Weighted Markov-Dubins Problem

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam, David Casbeer

Subjects: Optimization and Control (math.OC); Robotics (cs.RO)

[1435] arXiv:2211.06911 [pdf, other]

Title: Stationary measures for $\mathrm{SL}_2(\mathbb{R})$-actions on homogeneous bundles over flag varieties

Alexander Gorodnik, Jialun Li, Cagri Sert

Subjects: Dynamical Systems (math.DS)

[1436] arXiv:2211.06914 [pdf, other]

Title: Rate analysis of dual averaging for nonconvex distributed optimization

Changxin Liu, Xuyang Wu, Xinlei Yi, Yang Shi, Karl H. Johansson

Comments: 7 pages, 2 figures

Subjects: Optimization and Control (math.OC)

[1437] arXiv:2211.06916 [pdf, html, other]

Title: On spectral simplicity of the Hodge Laplacian and Curl Operator along paths of metrics

Willi Kepplinger

Comments: final version, to appear in TAMS. The most important changes include a change in title (shortened), a more detailed proof of Theorem 1.4 and Lemma 3.3 as well as the inclusion of two new Lemmas (3.5 and 3.6) in section 3.2. Furthermore the Beltrami operator has been renamed into Curl operator at the suggestion of an anonymous referee

Subjects: Differential Geometry (math.DG); Spectral Theory (math.SP)

[1438] arXiv:2211.06922 [pdf, other]

Title: Compactifications of Iwahori-level Hilbert modular varieties

Fred Diamond

Comments: 35 pages

Subjects: Number Theory (math.NT)

[1439] arXiv:2211.06933 [pdf, other]

Title: A simple reaction-diffusion system as a possible model for the origin of chemotaxis

Yishu Gong, Alexander Kiselev

Comments: 15 pages, 10 figures

Subjects: Analysis of PDEs (math.AP)

[1440] arXiv:2211.06938 [pdf, html, other]

Title: The Bogomolov multiplier of Lie superalgebras

Z. Araghi Rostami, P. Niroomand, M. Parviz

Comments: Some typo errors are corrected. The final version is accepted for publication in Indian J. Pure Appl. Math

Subjects: Rings and Algebras (math.RA)

[1441] arXiv:2211.06939 [pdf, other]

Title: Monotone quantities of $p$-harmonic functions and their applications

Sven Hirsch, Pengzi Miao, Luen-Fai Tam

Comments: 38 pages, to appear in PAMQ

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)

[1442] arXiv:2211.06947 [pdf, other]

Title: Remarks on the Grothendieck-Teichm\"uller group and A. Beilinson's gluing

Alexey Kalugin

Comments: 9 pages

Subjects: Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[1443] arXiv:2211.06948 [pdf, other]

Title: On the convergence of the continuous version of the Moudafi's viscosity approximation method

Ramzi May

Comments: 12 pages

Subjects: Classical Analysis and ODEs (math.CA)

[1444] arXiv:2211.06950 [pdf, html, other]

Title: An oriented discrepancy version of Dirac's theorem

Andrea Freschi, Allan Lo

Comments: 11 pages, 1 figure

Subjects: Combinatorics (math.CO)

[1445] arXiv:2211.06952 [pdf, other]

Title: Maximal $L^1$-regularity and free boundary problems for the incompressible Navier-Stokes equations in critical spaces

Takayoshi Ogawa, Senjo Shimizu

Comments: 62 pages, 1 figure. To appear in J. Math. Soc. Japan

Subjects: Analysis of PDEs (math.AP)

[1446] arXiv:2211.06955 [pdf, other]

Title: Determinantal point processes associated with Bergman kernels: construction and limit theorems

Thibaut Lemoine

Comments: Substantially revised version. Some assumptions were relaxed, and we added a new theorem giving large deviations of a weighted version of the determinantal point processes

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

[1447] arXiv:2211.06962 [pdf, other]

Title: A Scalable Graph Neural Network Decoder for Short Block Codes

Kou Tian, Chentao Yue, Changyang She, Yonghui Li, Branka Vucetic

Comments: Submitted to IEEE conference for possible publication

Subjects: Information Theory (cs.IT); Artificial Intelligence (cs.AI)

[1448] arXiv:2211.06969 [pdf, other]

Title: The (twisted) Eberlein convolution of measures

Daniel Lenz, Timo Spindeler, Nicolae Strungaru

Comments: 30 pages

Subjects: Functional Analysis (math.FA)

[1449] arXiv:2211.06970 [pdf, other]

Title: Families of Type-2 Isomorphic Circulant Graphs of Order $np^3$ w.r.t. $r = p$ and Their Abelian Groups

Vilfred Kamalappan, Wilson Peraprakash

Comments: 26 pages. arXiv admin note: substantial text overlap with arXiv:2012.11372

Subjects: Combinatorics (math.CO)

[1450] arXiv:2211.06973 [pdf, other]

Title: A Variable Node Design with Check Node Aware Quantization Leveraging 2-Bit LDPC Decoding

Philipp Mohr, Gerhard Bauch

Comments: This work has been submitted to IEEE GLOBECOM 2022

Subjects: Information Theory (cs.IT)