Mathematics

Authors and titles for January 2022

[1501] arXiv:2201.06590 [pdf, other]

Title: Control of port-Hamiltonian differential-algebraic systems and applications

Volker Mehrmann, Benjamin Unger

Subjects: Dynamical Systems (math.DS); Systems and Control (eess.SY); Numerical Analysis (math.NA)

[1502] arXiv:2201.06591 [pdf, other]

Title: The $K(\pi,1)$-conjecture implies the center conjecture for Artin groups

Kasia Jankiewicz, Kevin Schreve

Comments: 7 pages, 2 figures. Comments are welcome!

Subjects: Group Theory (math.GR)

[1503] arXiv:2201.06596 [pdf, other]

Title: A characterization of simultaneous optimization, majorization, and (bi)submodular polyhedra

Martijn H. H. Schoot Uiterkamp

Comments: 30 pages, 1 figure

Subjects: Optimization and Control (math.OC); Combinatorics (math.CO)

[1504] arXiv:2201.06601 [pdf, other]

Title: Proof of the Riemann Hypothesis

Björn Tegetmeyer

Subjects: General Mathematics (math.GM)

[1505] arXiv:2201.06603 [pdf, other]

Title: Galois correspondence for Galois coverings on tropical curves

JuAe Song

Comments: 12 pages, 1 figure

Subjects: Algebraic Geometry (math.AG)

[1506] arXiv:2201.06609 [pdf, other]

Title: Error-correcting codes for low latency streaming over multiple link relay networks

Gustavo Kasper Facenda, Elad Domanovitz, Ashish Khisti, Wai-Tian Tan, John Apostolopoulos

Subjects: Information Theory (cs.IT)

[1507] arXiv:2201.06613 [pdf, other]

Title: On the two-dimensional Jacobian conjecture: Magnus' formula revisited, I

William E. Hurst, Kyungyong Lee, Li Li, George D. Nasr

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[1508] arXiv:2201.06617 [pdf, other]

Title: The Varieties of Bifocal Grassmann Tensors

Marina Bertolini, Gilberto Bini, Cristina Turrini

Subjects: Algebraic Geometry (math.AG)

[1509] arXiv:2201.06622 [pdf, other]

Title: Uniqueness of equilibrium states for Lorenz attractors in any dimension

Maria Jose Pacifico, Fan Yang, Jiagang Yang

Subjects: Dynamical Systems (math.DS)

[1510] arXiv:2201.06623 [pdf, other]

Title: Extremal clustering and cluster counting for spatial random fields

Anders Rønn-Nielsen, Mads Stehr

Subjects: Probability (math.PR)

[1511] arXiv:2201.06626 [pdf, other]

Title: Neural Network Compression of ACAS Xu Early Prototype is Unsafe: Closed-Loop Verification through Quantized State Backreachability

Stanley Bak, Hoang-Dung Tran

Subjects: Numerical Analysis (math.NA); Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO)

[1512] arXiv:2201.06627 [pdf, other]

Title: Deformation quantization of nonassociative algebras

Elisabeth Remm

Comments: 34 pages. arXiv admin note: text overlap with arXiv:2005.12430

Subjects: Rings and Algebras (math.RA)

[1513] arXiv:2201.06630 [pdf, other]

Title: Distributions of Hook lengths in integer partitions

Michael Griffin, Ken Ono, Wei-Lun Tsai

Comments: Minor edits and a new first paragraph on previous related work (added at the suggestion of a referee)

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

[1514] arXiv:2201.06631 [pdf, other]

Title: Effective error estimation for model reduction with inhomogeneous initial conditions

Björn Liljegren-Sailer

Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)

[1515] arXiv:2201.06632 [pdf, other]

Title: Robust high-order unfitted finite elements by interpolation-based discrete extension

Santiago Badia, Eric Neiva, Francesc Verdugo

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE)

[1516] arXiv:2201.06634 [pdf, other]

Title: Forcing a Basis into $\aleph_1$-Free Groups

Daniel Bossaller, Daniel Herden, Alexandra V. Pasi

Comments: 12 pages

Subjects: Group Theory (math.GR); Logic (math.LO)

[1517] arXiv:2201.06636 [pdf, other]

Title: On digital sequences associated with Pascal's triangle

Pierre Mathonet, Michel Rigo, Manon Stipulanti, Naïm Zénaïdi

Comments: 24 pages, 12 figures

Subjects: Number Theory (math.NT); Discrete Mathematics (cs.DM); Formal Languages and Automata Theory (cs.FL); Combinatorics (math.CO)

[1518] arXiv:2201.06643 [pdf, other]

Title: Random Splitting of Fluid Models: Ergodicity and Convergence

Andrea Agazzi, Jonathan C. Mattingly, Omar Melikechi

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

[1519] arXiv:2201.06646 [pdf, other]

Title: The Violation of the Lipman-Zariski conjecture in positive characteristic

Patrick Graf

Comments: Final version

Journal-ref: J. Algebra 601 (2022), pp. 115-128

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[1520] arXiv:2201.06650 [pdf, other]

Title: Galois Connections in Persistent Homology

Aziz Burak Gulen, Alexander McCleary

Subjects: Algebraic Topology (math.AT)

[1521] arXiv:2201.06659 [pdf, other]

Title: Dynamic Blockage Pre-Avoidance using Reconfigurable Intelligent Surfaces

Hao Guo, Behrooz Makki, Magnus Åström, Mohamed-Slim Alouini, Tommy Svensson

Comments: Submitted to IEEE Communications Magazine

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

[1522] arXiv:2201.06661 [pdf, html, other]

Title: On the Douglas-Rachford and Peaceman-Rachford algorithms in the presence of uniform monotonicity and the absence of minimizers

Regina S. Burachik, Bethany I. Caldwell, C. Yalçın Kaya, Walaa M. Moursi, Matthew Saurette

Subjects: Optimization and Control (math.OC)

[1523] arXiv:2201.06662 [pdf, other]

Title: Belinskaya's theorem is optimal

Alessandro Carderi, Matthieu Joseph, François Le Maître, Romain Tessera

Comments: Some more fixes in the appendix; added a reference to M. Joseph's thesis in Remark 3.4. Final final version matching the online first version in Fundamenta Mathematicae

Subjects: Dynamical Systems (math.DS); Functional Analysis (math.FA); Group Theory (math.GR)

[1524] arXiv:2201.06663 [pdf, other]

Title: Square-free smooth polynomials in residue classes and generators of irreducible polynomials

Christian Bagshaw

Comments: Updated after discovering a typo in a cited paper

Subjects: Number Theory (math.NT)

[1525] arXiv:2201.06667 [pdf, other]

Title: Computing nodal deficiency with a refined Dirichlet-to-Neumann map

Gregory Berkolaiko, Graham Cox, Bernard Helffer, Mikael Persson Sundqvist

Comments: 23 pages; comments welcome

Journal-ref: J Geom Anal 32, 246 (2022)

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP)

[1526] arXiv:2201.06689 [pdf, other]

Title: The exponent of repetition of the characteristic Sturmian word whose slope is a quadratic irrational

Takao Watanabe

Comments: The results of this paper are not new

Subjects: Combinatorics (math.CO)

[1527] arXiv:2201.06697 [pdf, other]

Title: Parallel transport for Higgs bundles over p-adic curves

Daxin Xu

Comments: 43 pages, with an appendix joint with Tongmu He. We improve the appendix

Subjects: Algebraic Geometry (math.AG)

[1528] arXiv:2201.06705 [pdf, other]

Title: Weighted $\ell_q$ approximation problems on the ball and on the sphere

Jiansong Li, Heping Wang

Comments: 17 pages

Subjects: Numerical Analysis (math.NA)

[1529] arXiv:2201.06708 [pdf, other]

Title: Stochastic epidemic SIR models with hidden states

Nguyen Du, Alexandru Hening, Nhu Nguyen, George Yin

Comments: 27 pages, 3 figures

Journal-ref: Nonlinear Analysis: Hybrid Systems Volume 49, August 2023, 101368

Subjects: Probability (math.PR); Populations and Evolution (q-bio.PE)

[1530] arXiv:2201.06709 [pdf, other]

Title: Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball

Jiansong Li, Heping Wang

Comments: 19 pages

Subjects: Numerical Analysis (math.NA)

[1531] arXiv:2201.06711 [pdf, other]

Title: Weighted $L_p$ Markov factors with doubling weights on the ball

Jiansong Li, Heping Wang, Kai Wang

Comments: 17 pages

Subjects: Classical Analysis and ODEs (math.CA)

[1532] arXiv:2201.06728 [pdf, other]

Title: Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension

Xumin Gu, Yu Mei

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP)

[1533] arXiv:2201.06729 [pdf, other]

Title: Eigenvalues of signed graphs

Dan Li, Huiqiu Lin, Jixiang Meng

Comments: 18 pages, 2 figures

Subjects: Combinatorics (math.CO)

[1534] arXiv:2201.06736 [pdf, other]

Title: Width deviation of convex polygons

Shigeki Akiyama, Teturo Kamae

Comments: Welcome comments, or supply of missing references

Subjects: Probability (math.PR); Combinatorics (math.CO); Metric Geometry (math.MG); Number Theory (math.NT)

[1535] arXiv:2201.06746 [pdf, other]

Title: Combinatorial identities associated with a bivariate generating function for overpartition pairs

Atul Dixit, Ankush Goswami

Comments: 17 pages, submitted for publication; comments are welcome

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

[1536] arXiv:2201.06748 [pdf, other]

Title: Equivariant K\"ahler model for Fujiki's class

Jia Jia, Sheng Meng

Comments: 14 pages, comments are welcome!

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Group Theory (math.GR)

[1537] arXiv:2201.06752 [pdf, other]

Title: Minimal Constructible Sets

Jorge Garcia, Rosemarie Bongers, Jonathan Detgen, Walter Morales

Subjects: Combinatorics (math.CO)

[1538] arXiv:2201.06756 [pdf, html, other]

Title: Vertex decomposability and weakly polymatroidal ideals

Amir Mafi, Dler Naderi, Hero Saremi

Comments: 8 pages, to appear in J. Algebraic Systems

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[1539] arXiv:2201.06762 [pdf, other]

Title: Cohomological jump loci and duality in local algebra

Benjamin Briggs, Daniel McCormick, Josh Pollitz

Comments: 18 pages. V2: minor changes and funding information added. V3: minor changes, to appear in Mathematische Zeitschrift

Subjects: Commutative Algebra (math.AC)

[1540] arXiv:2201.06764 [pdf, other]

Title: Infinitely many positive solutions of a Gross-Pitaevskii equation in the presence of a harmonic potential and combined nonlinearities

Yakine Bahri, Hichem Hajaiej

Subjects: Analysis of PDEs (math.AP)

[1541] arXiv:2201.06766 [pdf, other]

Title: On the classification of $(\mathfrak{g},K)$-modules generated by nearly holomorphic Hilbert-Siegel modular forms and projection operators

Shuji Horinaga

Comments: 27 pages

Subjects: Number Theory (math.NT); Representation Theory (math.RT)

[1542] arXiv:2201.06780 [pdf, other]

Title: Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks

Yongji Wang, Ching-Yao Lai, Javier Gómez-Serrano, Tristan Buckmaster

Comments: Main paper: 6 pages, 3 figures. Supplementary material: 15 pages, 12 figures. To appear in Physical Review Letters

Subjects: Analysis of PDEs (math.AP); Machine Learning (cs.LG); Fluid Dynamics (physics.flu-dyn)

[1543] arXiv:2201.06782 [pdf, other]

Title: Fibrantly generated weak factorization systems

Sean Cox, Jiří Rosický

Comments: 11 pages

Journal-ref: Rend. Mat. Univ. Padova 152 (2024), 133-144

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

[1544] arXiv:2201.06784 [pdf, other]

Title: On a conjecture concerning the shuffle-compatible permutation statistics

Lihong Yang, Sherry H.F. Yan

Subjects: Combinatorics (math.CO)

[1545] arXiv:2201.06787 [pdf, other]

Title: Least squares estimators based on the Adams method for stochastic differential equations with small L\'evy noise

Mitsuki Kobayashi, Yasutaka Shimizu

Comments: 16 pages, 1 table, 1 figure

Subjects: Statistics Theory (math.ST)

[1546] arXiv:2201.06793 [pdf, other]

Title: Bumpy metric theorem in the sense of Man{\'e} for non-convex Hamiltonians

Shahriar Aslani (PSL, DMA), Patrick Bernard (PSL, CEREMADE, CNRS)

Subjects: Dynamical Systems (math.DS)

[1547] arXiv:2201.06795 [pdf, other]

Title: Retinal processing: insights from mathematical modelling

Bruno Cessac (BIOVISION)

Journal-ref: Journal of Imaging, MDPI, In press

Subjects: Dynamical Systems (math.DS); Biological Physics (physics.bio-ph); Neurons and Cognition (q-bio.NC)

[1548] arXiv:2201.06798 [pdf, other]

Title: On the central limit theorem for stationary random fields under L 1 -projective condition

Han-Mai Lin, Florence Merlevède (LAMA), Dalibor Voln{ý} (UNIROUEN)

Subjects: Probability (math.PR)

[1549] arXiv:2201.06800 [pdf, other]

Title: Numerical solution of the div-curl problem by finite element exterior calculus

Pascal Azerad (IMAG), Marien-Lorenzo Hanot (IMAG)

Comments: 18 pages, 4 figures

Subjects: Numerical Analysis (math.NA)

[1550] arXiv:2201.06803 [pdf, other]

Title: Feedback law to stabilize linear infinite-dimensional systems

Yaxing Ma, Gengsheng Wang, Huaiqiang Yu

Comments: 23 pages

Subjects: Optimization and Control (math.OC)