Mathematics

Authors and titles for December 2022

[1901] arXiv:2212.09576 [pdf, other]

Title: Linear embeddings of random complexes

Andrew Newman

Comments: 15 pages. There was an error for the odd-dimensional case in the previous version. This version proves the threshold for embeddability into even dimensions only. Section 2 has also been expanded to include more detail

Subjects: Combinatorics (math.CO); Geometric Topology (math.GT)

[1902] arXiv:2212.09601 [pdf, other]

Title: On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings

Andrés Chacón, Sebastián Higuera, Armando Reyes

Comments: 15 pages

Subjects: Rings and Algebras (math.RA)

[1903] arXiv:2212.09604 [pdf, other]

Title: The maximum Levine-Tristram signature of torus knots

Ian M. Banfield

Comments: 9 pages, 2 figures

Subjects: Geometric Topology (math.GT)

[1904] arXiv:2212.09605 [pdf, other]

Title: Embeddedness of Min-Max CMC Hypersurfaces in Manifolds with Positive Ricci Curvature

Costante Bellettini, Myles Workman

Comments: 56 pages, 5 figures

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

[1905] arXiv:2212.09614 [pdf, other]

Title: Eigenvectors of the square grid plus GUE

András Mészáros, Bálint Virág

Journal-ref: Communications in Mathematical Physics, Volume 405, article number 2, 2024

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

[1906] arXiv:2212.09615 [pdf, html, other]

Title: Stein's Method for Poisson-Exponential Distributions

Anum Fatima, Gesine Reinert

Subjects: Probability (math.PR)

[1907] arXiv:2212.09619 [pdf, other]

Title: A spinorial quasilocal mass

John Lott

Comments: Final version

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

[1908] arXiv:2212.09620 [pdf, other]

Title: Linear extensions and shelling orders

Davide Bolognini, Paolo Sentinelli

Subjects: Combinatorics (math.CO)

[1909] arXiv:2212.09623 [pdf, other]

Title: Birational geometry of quiver varieties and other GIT quotients

Gwyn Bellamy, Alastair Craw, Travis Schedler

Comments: 40 pages, minor changes, comments very welcome

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

[1910] arXiv:2212.09632 [pdf, other]

Title: A unimodal sequence with mode at a quarter length

Max Y.C. Liu, David G.L. Wang

Journal-ref: Journal of Difference Equations and Applications, 2023

Subjects: Combinatorics (math.CO)

[1911] arXiv:2212.09634 [pdf, other]

Title: On the synchronization of the Kuramoto-type model of oscillators with lossy couplings

Yemi Ojo, Khaled Laib, Ioannis Lestas

Comments: 6 pages, 1 figure

Subjects: Optimization and Control (math.OC)

[1912] arXiv:2212.09635 [pdf, other]

Title: Improved quadratic Gowers uniformity for the M\"obius function

James Leng

Comments: 38 pages. Comments welcome! v3: Fixed sections 1.2 and 8.1

Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)

[1913] arXiv:2212.09639 [pdf, html, other]

Title: Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity

Leonid Positselski, Jan Stovicek

Comments: LaTeX 2e with xy-pic; 31 pages, 2 commutative diagrams; v.2: Sections 1-2 completely rewritten and replaced with new Sections 1-4, the main arguments now based on the Pseudopullback Theorem of Raptis-Rosicky and the results of arXiv:2310.16773, the paper became shorter; v.3: new Remarks 2.3 and 3.6 inserted, the proof of Lemma 6.5 expanded, Remark 9.3 rewritten, references added and updated

Subjects: Algebraic Geometry (math.AG); Category Theory (math.CT)

[1914] arXiv:2212.09640 [pdf, other]

Title: An incomplete real tree with complete segments

Raphael Appenzeller, Luca De Rosa, Xenia Flamm, Victor Jaeck

Comments: 9 pages, 4 figures, comments are welcome!

Journal-ref: Innov. Incidence Geom. 21 (2024) 35-44

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

[1915] arXiv:2212.09642 [pdf, other]

Title: Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods

Michele Benzi, Michele Rinelli, Igor Simunec

Comments: 32 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[1916] arXiv:2212.09650 [pdf, other]

Title: Computing sub differential limits of operators on Banach spaces

Taduri Srinivas Siva Rama Krishna Rao

Comments: 14 pages

Subjects: Functional Analysis (math.FA)

[1917] arXiv:2212.09665 [pdf, other]

Title: Commutators, centralizers, and strong conciseness in profinite groups

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

Subjects: Group Theory (math.GR)

[1918] arXiv:2212.09669 [pdf, other]

Title: Fractal dimensions of fractal transformations and Quantization dimensions for bi-Lipschitz mappings

Manuj Verma, Amit Priyadarshi, Saurabh Verma

Subjects: Dynamical Systems (math.DS)

[1919] arXiv:2212.09673 [pdf, html, other]

Title: The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element

Benedikt Gräßle, Nis-Erik Bohne, Stefan A. Sauter

Subjects: Numerical Analysis (math.NA)

[1920] arXiv:2212.09680 [pdf, other]

Title: Free Boundary Minimal Annuli Immersed in the Unit 3-Ball

Nikolaos Kapouleas, Peter McGrath

Comments: 23 pages

Subjects: Differential Geometry (math.DG)

[1921] arXiv:2212.09703 [pdf, other]

Title: A Survey of Vectorization Methods in Topological Data Analysis

Dashti Ali, Aras Asaad, Maria-Jose Jimenez, Vidit Nanda, Eduardo Paluzo-Hidalgo, Manuel Soriano-Trigueros

Subjects: Algebraic Topology (math.AT)

[1922] arXiv:2212.09704 [pdf, other]

Title: Rate-Privacy-Storage Tradeoff in Federated Learning with Top $r$ Sparsification

Sajani Vithana, Sennur Ulukus

Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR); Networking and Internet Architecture (cs.NI); Signal Processing (eess.SP)

[1923] arXiv:2212.09706 [pdf, html, other]

Title: Multiple testing under negative dependence

Ziyu Chi, Aaditya Ramdas, Ruodu Wang

Comments: 28 pages, 5 figures

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

[1924] arXiv:2212.09707 [pdf, other]

Title: Discrete geodesic local time converges under KPZ scaling

Shirshendu Ganguly, Lingfu Zhang

Comments: 41 pages, 4 figures

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

[1925] arXiv:2212.09709 [pdf, other]

Title: Energy dissipation in viscoelastic Bessel media

Ivano Colombaro, Andrea Giusti, Andrea Mentrelli

Comments: 11 pages, 6 figures

Subjects: Mathematical Physics (math-ph); Materials Science (cond-mat.mtrl-sci)

[1926] arXiv:2212.09716 [pdf, other]

Title: Differential geometry of space curves: Forgotten chapters

Dmitry Fuchs, Ivan Izmestiev, Matteo Raffaelli, Gudrun Szewieczek, Serge Tabachnikov

Comments: 27 pages, 9 figures

Journal-ref: Math. Intelligencer 46 (2024), no. 1, 9-21

Subjects: Differential Geometry (math.DG)

[1927] arXiv:2212.09718 [pdf, html, other]

Title: A proof of Saari's conjecture

Pieter Tibboel

Comments: The main theorem is incorrect and has an error in the proof

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph)

[1928] arXiv:2212.09728 [pdf, other]

Title: Evolution of the radius of analyticity for the generalized Benjamin equation

Renata O. Figueira, Mahendra Panthee

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[1929] arXiv:2212.09734 [pdf, html, other]

Title: Characterization of norm forms via their values at integer points

George Tomanov

Subjects: Number Theory (math.NT); Group Theory (math.GR)

[1930] arXiv:2212.09793 [pdf, html, other]

Title: Probability package for Macaulay2

Douglas A. Torrance

Comments: Various improvements based on referee comments

Journal-ref: J. Softw. Alg. Geom. 14 (2024) 51-57

Subjects: Algebraic Geometry (math.AG); Probability (math.PR)

[1931] arXiv:2212.09805 [pdf, other]

Title: Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz

Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe, Luc Vinet

Comments: 16 pages

Journal-ref: SciPost Phys. Proc. 14, 018 (2023)

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech)

[1932] arXiv:2212.09809 [pdf, html, other]

Title: The space of $r$-immersions of a union of discs in $\mathbb R^n$

Gregory Arone, Franjo Sarcevic

Comments: 13 pages. Significant changes compared to the first version

Subjects: Algebraic Topology (math.AT)

[1933] arXiv:2212.09810 [pdf, other]

Title: Parity of 3-regular partition numbers and Diophantine equations

Cristina Ballantine, Mircea Merca, Cristian-Silviu Radu

Comments: 20 pages

Subjects: Number Theory (math.NT)

[1934] arXiv:2212.09814 [pdf, other]

Title: Analysis of Sparse Recovery Algorithms via the Replica Method

Ali Bereyhi, Ralf R. Müller, Hermann Schulz-Baldes

Comments: "A Comprehensive Introduction to the Applications of the Replica Method in Analysis of Large Inference Problems". Initial version of the contribution to the book "Compressed Sensing in Information Processing''; 32 pages, 2 figures

Subjects: Information Theory (cs.IT)

[1935] arXiv:2212.09819 [pdf, other]

Title: Degree lowering for ergodic averages along arithmetic progressions

Nikos Frantzikinakis, Borys Kuca

Comments: 39 pages. Referee's comments incorporated. To appear in Journal d'Analyse Mathematique

Subjects: Dynamical Systems (math.DS); Combinatorics (math.CO)

[1936] arXiv:2212.09822 [pdf, other]

Title: A general criterion for jump set slicing and applications

Stefano Almi, Emanuele Tasso

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

[1937] arXiv:2212.09835 [pdf, html, other]

Title: A non-constructive proof of the Four Colour Theorem

D. M. Jackson, L. B. Richmond

Subjects: Combinatorics (math.CO)

[1938] arXiv:2212.09837 [pdf, other]

Title: Lower bounds for self-adjoint Sturm-Liouville operators

Jussi Behrndt, Fritz Gesztesy, Philipp Schmitz, Carsten Trunk

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Functional Analysis (math.FA)

[1939] arXiv:2212.09838 [pdf, html, other]

Title: Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence

Halil Ibrahim Kurt, Wenxian Shen

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

[1940] arXiv:2212.09841 [pdf, other]

Title: Structured matrix recovery from matrix-vector products

Diana Halikias, Alex Townsend

Subjects: Numerical Analysis (math.NA)

[1941] arXiv:2212.09842 [pdf, other]

Title: H\"older continuous maps on the interval with positive metric mean dimension

Jeovanny M. Acevedo, Sergio Romaña, Raibel Arias

Subjects: Dynamical Systems (math.DS)

[1942] arXiv:2212.09843 [pdf, other]

Title: Methodology and first-order algorithms for solving nonsmooth and non-strongly convex bilevel optimization problems

Lior Doron, Shimrit Shtern

Subjects: Optimization and Control (math.OC)

[1943] arXiv:2212.09845 [pdf, other]

Title: Foliations on $\mathbb{CP}^3$ of degree $2$ that have a line as singular set

Claudia R. Alcántara, Dominique Cerveau

Comments: 14 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[1944] arXiv:2212.09852 [pdf, html, other]

Title: A $q$-analog of the Markoff injectivity conjecture holds

Sebastien Labbé, Mélodie Lapointe, Wolfgang Steiner

Comments: v1: 9 pages, 2 figures. v2: 10 pages, 2 figures. v3: fixed few typos. v4: fixed an error in the statement of Theorem 3.2

Journal-ref: Algebraic Combinatorics 6 (2023) 1677-1685

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

[1945] arXiv:2212.09853 [pdf, other]

Title: Reference Governor for Constrained Spacecraft Orbital Transfers

Simone Semeraro (1), Ilya Kolmanovsky (1), Emanuele Garone (2) ((1) Department of Aerospace Engineering, The University of Michigan, (2) École Polytechnique de Bruxelles, Université Libre de Bruxelles (ULB))

Comments: 17 pages, 14 figures, submitted to Advanced Control for Applications

Subjects: Optimization and Control (math.OC)

[1946] arXiv:2212.09854 [pdf, other]

Title: Approximation of deterministic mean field games with control-affine dynamics

Justina Gianatti, Francisco J. Silva

Comments: 29 pages, 4 figures

Subjects: Optimization and Control (math.OC)

[1947] arXiv:2212.09857 [pdf, other]

Title: Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time

Dean Hirsch, Ido Kessler, Uri Mendlovic

Subjects: Number Theory (math.NT)

[1948] arXiv:2212.09861 [pdf, other]

Title: Extending Grundy domination to $k$-Grundy domination

Rebekah Herrman, Stephen G. Z. Smith

Subjects: Combinatorics (math.CO)

[1949] arXiv:2212.09869 [pdf, other]

Title: Cubulating a free-product-by-cyclic group

François Dahmani, Suraj Krishna M S

Comments: 10 figures, incorporated referee suggestions. Final version, to appear in Alg. Geom. Topol

Subjects: Group Theory (math.GR)

[1950] arXiv:2212.09874 [pdf, other]

Title: Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes

Nathan Mehlhop, Wojciech Słomian

Comments: 25 pages,no figures. This is the revised version, incorporating suggestions from the refere report. Accepted for publication in Mathematische Annalen

Journal-ref: Mathematische Annalen(2023)

Subjects: Dynamical Systems (math.DS)