Mathematics

Authors and titles for February 2018

[1201] arXiv:1802.04430 [pdf, other]

Title: Relations between Transfinite Diameters on Affine Algebraic Varieties

Jesse Hart

Comments: 17 pages

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

[1202] arXiv:1802.04435 [pdf, other]

Title: Finite-Control-Set Model Predictive Control (FCS-MPC) for Islanded Hybrid Microgrids

Zhehan Yi, Abdulrahman J. Babqi, Yishen Wang, Di Shi, Amir H. Etemadi, Zhiwei Wang, Bibin Huang

Comments: This paper has been accepted by the 2018 IEEE PES General Meeting

Subjects: Optimization and Control (math.OC); Signal Processing (eess.SP)

[1203] arXiv:1802.04436 [pdf, other]

Title: Ruelle-Bowen continuous-time random walk

Yongxin Chen, Tryphon T. Georgiou, Michele Pavon

Comments: 4 pages

Subjects: Optimization and Control (math.OC); Probability (math.PR)

[1204] arXiv:1802.04439 [pdf, other]

Title: On Whitehead's theorem beyond pointed connected spaces

Kevin Arlin

Comments: 3 pages

Subjects: Algebraic Topology (math.AT)

[1205] arXiv:1802.04440 [pdf, other]

Title: Bivariate representation and conjugacy class zeta functions associated to unipotent group schemes, I: Arithmetic properties

Paula Macedo Lins de Araujo

Comments: 24 pages. Preprint of an article published in the Journal of Group Theory

Journal-ref: J.Group Theory 22 (2019) 741-774;

Subjects: Group Theory (math.GR)

[1206] arXiv:1802.04442 [pdf, other]

Title: Central splitting of manifolds with no conjugate points

James Dibble

Comments: 16 pages; simplified the proof of Theorem 1.1 by citing my result that each Abelian subgroup of $π_1(N)$ is isomorphic to $\mathbb{Z}^k$ for some $0 \leq k \leq \mathrm{dim}(N)$; made many minor edits throughout

Journal-ref: Pacific J. Math. 306 (2020) 95-114

Subjects: Differential Geometry (math.DG)

[1207] arXiv:1802.04454 [pdf, other]

Title: Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds

Bingqing Ma, Guangyue Huang, Xingxiao Li, Yu Chen

Comments: All comments are welcome

Subjects: Differential Geometry (math.DG)

[1208] arXiv:1802.04461 [pdf, other]

Title: Commutators of multi-parameter flag singular integrals and applications

Xuan Thinh Duong, Ji Li, Yumeng Ou, Jill Pipher, Brett D. Wick

Comments: 33 pages. Final version

Journal-ref: Analysis & PDE 12 (2019) 1325-1355

Subjects: Classical Analysis and ODEs (math.CA)

[1209] arXiv:1802.04463 [pdf, other]

Title: qKZ/tRS Duality via Quantum K-Theoretic Counts

Peter Koroteev, Anton M. Zeitlin

Comments: 27 pages, 2 figures, to appear in Math. Res. Lett

Journal-ref: Math.Res.Lett. 28(2) (2021) 435 - 470

Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Representation Theory (math.RT)

[1210] arXiv:1802.04464 [pdf, other]

Title: Semi-continuous convolutions on weakly periodic Lebesgue spaces

Joachim Toft

Comments: 11 Pages. The content overlaps with certain parts of the first version of: J. Toft, Periodicity and the Zak transform on Gelfand-Shilov and modulation spaces, arXiv:1705.10619

Subjects: Functional Analysis (math.FA)

[1211] arXiv:1802.04468 [pdf, other]

Title: On a Java library to perform S-expansions of Lie algebras

Carlos Inostroza, Igor Kondrashuk, Nelson Merino, Felip Nadal

Comments: 7 pages, 1 figure, Talk at ACAT 2017, Seattle, USA, to appear in Proceedings of ACAT 2017

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[1212] arXiv:1802.04476 [pdf, other]

Title: Vertex connectivity of Deza graphs with parameters of complements to Seidel graphs

Sergey V. Goryainov, Dmitry I. Panasenko

Subjects: Combinatorics (math.CO)

[1213] arXiv:1802.04477 [pdf, other]

Title: A Simple Proximal Stochastic Gradient Method for Nonsmooth Nonconvex Optimization

Zhize Li, Jian Li

Comments: 32nd Conference on Neural Information Processing Systems (NeurIPS 2018)

Subjects: Optimization and Control (math.OC); Data Structures and Algorithms (cs.DS); Machine Learning (cs.LG); Machine Learning (stat.ML)

[1214] arXiv:1802.04481 [pdf, other]

Title: Solved and unsolved problems about abelian squares

Jamie Simpson

Comments: 11 pages

Subjects: Combinatorics (math.CO)

[1215] arXiv:1802.04482 [pdf, other]

Title: A toy model of shtukas

Zhiyuan Ding

Comments: Sections 17-19 added; minor revisions

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

[1216] arXiv:1802.04483 [pdf, other]

Title: Some Information Inequalities for Statistical Inference

Harsha K V, Alladi Subramanyam

Comments: Some of the contents of this paper is accepted for a contributed talk in The Ninth International Conference on Guided Self-Organisation (GSO-2018: Information Geometry and Statistical Physics to be held in Max Planck Institute for Mathematics in the Sciences,Leipzig, Germany during March 26 - 28, 2018

Subjects: Statistics Theory (math.ST)

[1217] arXiv:1802.04489 [pdf, other]

Title: Unbalanced urn model with random addition

Rafik Aguech, Nabil Lasmar, Olfa Selmi

Comments: 16 pages

Subjects: Probability (math.PR)

[1218] arXiv:1802.04497 [pdf, other]

Title: A Dimension-Independent discriminant between distributions

Salimeh Yasaei Sekeh, Brandon Oselio, Alfred O. Hero

Comments: 5 pages, 5 figures, ICASSP 2018

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

[1219] arXiv:1802.04499 [pdf, other]

Title: A Novel Scheme to Improve Lossless Image Coders by Explicit Description of Generative Model Classes

Yuta Nakahara, Toshiyasu Matsushima

Comments: There are serious mistakes in the article

Subjects: Information Theory (cs.IT)

[1220] arXiv:1802.04503 [pdf, other]

Title: Certain character sums and hypergeometric series

Rupam Barman, Neelam Saikia

Comments: Pacific Journal of Mathematics (In press)

Subjects: Number Theory (math.NT)

[1221] arXiv:1802.04505 [pdf, other]

Title: Optimal and Robust Power Allocation for Visible Light Positioning Systems under Illumination Constraints

Musa Furkan Keskin, Ahmet Dundar Sezer, Sinan Gezici

Comments: 31 pages, 7 figures

Subjects: Information Theory (cs.IT)

[1222] arXiv:1802.04506 [pdf, other]

Title: Numerical Convergence of Discrete Exterior Calculus on Arbitrary Surface Meshes

Mamdouh S. Mohamed, Anil N. Hirani, Ravi Samtaney

Subjects: Numerical Analysis (math.NA)

[1223] arXiv:1802.04507 [pdf, other]

Title: Minimal asymptotic translation lengths of Torelli groups and pure braid groups on the curve graph

Hyungryul Baik, Hyunshik Shin

Comments: 12 pages, 4 figures. The proof of Theorem 5.1 had a minor gap in the previous version which is now fixed. Also the multi-curves in Figure 1 in the previous version were not filling, and this issue has been fixed as well. Accepted for publication in IMRN

Subjects: Geometric Topology (math.GT); Dynamical Systems (math.DS)

[1224] arXiv:1802.04511 [pdf, other]

Title: Equations defining probability tree models

Eliana Duarte, Christiane Görgen

Comments: 22 pages, 4 figures

Journal-ref: Journal of Symbolic Computation 2020

Subjects: Statistics Theory (math.ST); Commutative Algebra (math.AC); Probability (math.PR)

[1225] arXiv:1802.04516 [pdf, other]

Title: Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity

Maurizio Tavelli, Michael Dumbser

Subjects: Numerical Analysis (math.NA)

[1226] arXiv:1802.04517 [pdf, other]

Title: The spectral localizer for even index pairings

Terry Loring, Hermann Schulz-Baldes

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); K-Theory and Homology (math.KT)

[1227] arXiv:1802.04518 [pdf, other]

Title: Spectral flow argument localizing an odd index pairing

Terry Loring, Hermann Schulz-Baldes

Comments: minor corrections and improvements, to appear in Canadian Math Bull

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); K-Theory and Homology (math.KT)

[1228] arXiv:1802.04519 [pdf, other]

Title: The Chow ring of the stack of hyperelliptic curves of odd genus

Andrea Di Lorenzo

Comments: 27 pages, published on Int. Math. Res. Not

Subjects: Algebraic Geometry (math.AG)

[1229] arXiv:1802.04521 [pdf, other]

Title: An adaptive Euler-Maruyama scheme for stochastic differential equations with discontinuous drift and its convergence analysis

Andreas Neuenkirch, Michaela Szölgyenyi, Lukasz Szpruch

Journal-ref: SIAM J. Numer. Anal. 57-1 (2019), pp. 378-403

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[1230] arXiv:1802.04522 [pdf, other]

Title: Computing controlled invariant sets for hybrid systems with applications to model-predictive control

Benoît Legat, Paulo Tabuada, Raphaël M. Jungers

Comments: 7 pages, 7 figures, submitted to ADHS 2018 (under review)

Subjects: Optimization and Control (math.OC)

[1231] arXiv:1802.04524 [pdf, other]

Title: On a generalized theorem of de Bruijn and Erd\"os in d-dimensional Fuzzy Linear Spaces

H. Keleş

Comments: 5 pages

Journal-ref: Journal of Scientific and Engineering Research, 2018, 5(1):102-105

Subjects: General Mathematics (math.GM)

[1232] arXiv:1802.04526 [pdf, other]

Title: Homotopy type of the neighborhood complexes of graphs of maximal degree at most $3$ and $4$-regular circulant graphs

Samir Shukla

Comments: Theorem 2.1 has been generalised to graphs of maximal degree at most 3. Incorporated with referees comments

Journal-ref: The Electronic Journal of Combinatorics, 26, no. 2 (2019): P2.4

Subjects: Combinatorics (math.CO)

[1233] arXiv:1802.04531 [pdf, other]

Title: The algebra of balanced dessins

Jonathan Fine

Comments: 2 pages

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

[1234] arXiv:1802.04568 [pdf, other]

Title: Regularity of Solutions of the Parabolic Normalized p-Laplace Equation

Fredrik Arbo Høeg, Peter Lindqvist

Subjects: Analysis of PDEs (math.AP)

[1235] arXiv:1802.04569 [pdf, other]

Title: The Ces\`aro operator on duals of power series spaces of infinite type

Angela A. Albanese, José Bonet, Werner J. Ricker

Subjects: Functional Analysis (math.FA)

[1236] arXiv:1802.04571 [pdf, other]

Title: $CI$-property for decomposable Schur rings over an abelian group

István Kovács, Grigory Ryabov

Comments: 13 pages

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[1237] arXiv:1802.04574 [pdf, other]

Title: The effect of noise intensity on stochastic parabolic equations

Guangying Lv, Hongjun Gao, Jinlong Wei, Jiang-lun Wu

Comments: 11 pages

Subjects: Probability (math.PR)

[1238] arXiv:1802.04577 [pdf, other]

Title: Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules

Alicja Jaworska-Pastuszak, Marta Kwiecień, Andrzej Skowroński

Subjects: Representation Theory (math.RT)

[1239] arXiv:1802.04579 [pdf, other]

Title: Semi-modules and irreducible components of affine Deligne-Lusztig varieties

Sian Nie

Comments: 17 pages. Some typos are fixed

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

[1240] arXiv:1802.04586 [pdf, other]

Title: Hamiltonicity in randomly perturbed hypergraphs

Jie Han, Yi Zhao

Comments: 12 pages. Proof simplified

Subjects: Combinatorics (math.CO)

[1241] arXiv:1802.04590 [pdf, other]

Title: High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation

David Coulette (TONUS, IRMA), Emmanuel Franck (TONUS), Philippe Helluy (IRMA, TONUS), Michel Mehrenberger (TONUS, IRMA), Laurent Navoret (IRMA, TONUS)

Subjects: Analysis of PDEs (math.AP)

[1242] arXiv:1802.04597 [pdf, other]

Title: Mimetic Spectral Element Method for Anisotropic Diffusion

Marc Gerritsma, Artur Palha, Varun Jain, Yi Zhang

Comments: 43 pages

Subjects: Numerical Analysis (math.NA)

[1243] arXiv:1802.04602 [pdf, other]

Title: Ends of Schreier graphs of hyperbolic groups

Audrey Vonseel (UNISTRA, IRMA)

Journal-ref: Algebr. Geom. Topol. 18 (2018) 3089-3118

Subjects: Group Theory (math.GR)

[1244] arXiv:1802.04603 [pdf, other]

Title: Embedding spanning bounded degree graphs in randomly perturbed graphs

Julia Böttcher, Richard Montgomery, Olaf Parczyk, Yury Person

Comments: 25 pages; accepted for publication in Mathematika

Subjects: Combinatorics (math.CO)

[1245] arXiv:1802.04605 [pdf, other]

Title: Non-explosion criteria for rough differential equations driven by unbounded vector fields

I. Bailleul, R. Catellier

Comments: 27 pages; v2: a typo in the proof of Theorem 23 corrected

Subjects: Classical Analysis and ODEs (math.CA)

[1246] arXiv:1802.04607 [pdf, other]

Title: A cancellativity criterion for presented monoids

Patrick Dehornoy (LMNO)

Subjects: Group Theory (math.GR)

[1247] arXiv:1802.04608 [pdf, other]

Title: On the nonexistence of linear perfect Lee codes

Tao Zhang, Yue Zhou

Comments: 32 pages, 1 figure, 5 Tables. Compared with the previous edition, we have added a new subsection 2.1 on linear perfect Lee codes and degree-diameter problem with more details to explain the link between the Cayley graph and the homomorphism-induced structure of the Lee sphere

Journal-ref: Journal of Combinatorial Theory series A 165: 225-257, 2019

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

[1248] arXiv:1802.04611 [pdf, other]

Title: Sur les paquets d'Arthur de $\mathbf{Sp}(2n,\mathbb{R})$ contenant des modules unitaires de plus haut poids, scalaires

Colette Moeglin, David Renard

Comments: version 3, mistakes corrected (Prop. 18.3). 51 pages, in French

Subjects: Representation Theory (math.RT)

[1249] arXiv:1802.04615 [pdf, other]

Title: How Far Might We Walk at Random?

Steven R. Finch

Comments: 25 pages

Subjects: History and Overview (math.HO)

[1250] arXiv:1802.04616 [pdf, other]

Title: Ramanujan-type formulae for $1/\pi$: $q$-analogues

Victor J. W. Guo, Wadim Zudilin

Comments: 8 pages

Journal-ref: Integral Transforms Spec. Functions 29 (2018), no. 7, 505--513

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