Mathematics

Authors and titles for December 2018

[1] arXiv:1812.00001 [pdf, other]

Title: Minimax Optimal Additive Functional Estimation with Discrete Distribution

Kazuto Fukuchi, Jun Sakuma

Comments: This paper was presented in part at the 2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany and 2018 IEEE International Symposium on Information Theory (ISIT), Vail, USA. arXiv admin note: text overlap with arXiv:1801.05362

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

[2] arXiv:1812.00004 [pdf, other]

Title: The $g$-good neighbour diagnosability of hierarchical cubic networks

Shu-Li Zhao, Rong-Xia Hao

Subjects: Combinatorics (math.CO)

[3] arXiv:1812.00008 [pdf, other]

Title: Decorated Marked Surfaces: Calabi-Yau categories and related topics

Yu Qiu

Comments: This survey is contributed to the proceedings of the 51st Symposium on Ring Theory and Representation Theory (Sep. 2018 @ Okayama)

Subjects: Representation Theory (math.RT); Category Theory (math.CT); Geometric Topology (math.GT)

[4] arXiv:1812.00010 [pdf, other]

Title: $q$-Stability conditions via $q$-quadratic differentials for Calabi-Yau-$\mathbb{X}$ categories

Akishi Ikeda, Yu Qiu

Comments: Memoirs of Amer. Math. Soc. to appear

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

[5] arXiv:1812.00027 [pdf, other]

Title: Homogenization of biased convolution type operators

Andrey Piatnitski, Elena Zhizhina

Subjects: Functional Analysis (math.FA)

[6] arXiv:1812.00032 [pdf, other]

Title: On the K\"ahler Geometry of Certain Optimal Transport Problems

Gabriel Khan, Jun Zhang

Comments: 30 pages. In the previous versions, there was a switched index in the curvature formulas. We have fixed the issue in this version

Journal-ref: Pure Appl. Analysis 2 (2020) 397-426

Subjects: Optimization and Control (math.OC); Differential Geometry (math.DG); Mathematical Finance (q-fin.MF)

[7] arXiv:1812.00036 [pdf, other]

Title: Generalized dimensions, large deviations and the distribution of rare events

Théophile Caby, Davide Faranda, Giorgio Mantica, Sandro Vaienti, Pascal Yiou

Comments: 30 pages

Subjects: Dynamical Systems (math.DS)

[8] arXiv:1812.00038 [pdf, other]

Title: Thesis: Semi-Riemannian Noncommutative Geometry, Gauge Theory, and the Standard Model of Particle Physics

Nadir Bizi

Comments: 180 pages, PhD thesis

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG); Operator Algebras (math.OA)

[9] arXiv:1812.00039 [pdf, other]

Title: Note on Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems

Peter Constantin, Joonhyun La

Subjects: Analysis of PDEs (math.AP)

[10] arXiv:1812.00041 [pdf, other]

Title: Symbols of non-archimedean elliptic pseudo-differential operators, Feller semigroups, Markov transition function and negative definite functions

Ismael Gutiérrez García, Anselmo Torresblanca-Badillo

Subjects: Mathematical Physics (math-ph)

[11] arXiv:1812.00042 [pdf, other]

Title: A remark on the Dixmier Conjecture

V. V. Bavula, V. Levandovskyy

Comments: 7 pages

Journal-ref: Can. Math. Bull. 63 (2020) 6-12

Subjects: Rings and Algebras (math.RA)

[12] arXiv:1812.00046 [pdf, other]

Title: Cylinder topological quantum field theory: A categorical presentation of classical field theory and its symmetries

Juan Orendain

Comments: 51 pages

Subjects: Category Theory (math.CT)

[13] arXiv:1812.00047 [pdf, other]

Title: Plancherel formula for $\mathrm{GL}_n(F)\backslash \mathrm{GL}_n(E)$ and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups

Raphaël Beuzart-Plessis

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

[14] arXiv:1812.00051 [pdf, other]

Title: The Surreal Numbers as an Ordered Commutative Ring with an Apartness: A Development in Univalent Foundations

Jean S. Joseph

Subjects: Logic (math.LO)

[15] arXiv:1812.00053 [pdf, other]

Title: Archimedean theory and $\epsilon$-factors for the Asai Rankin-Selberg integrals

Raphaël Beuzart-Plessis

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

[16] arXiv:1812.00056 [pdf, other]

Title: Semi-classical analysis on H-type groups

Clotilde Fermanian-Kammerer, Veronique Fischer

Comments: 29 pages

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP)

[17] arXiv:1812.00057 [pdf, other]

Title: Classification of Conditional Measures Along Certain Invariant One-Dimensional Foliations

Marcielis Espitia Noriega, Gabriel Ponce, Régis Varão

Subjects: Dynamical Systems (math.DS)

[18] arXiv:1812.00067 [pdf, other]

Title: The investigation of Euler's totient function preimages

Ruslan Skuratovskii

Comments: "Sixth International Conference on Analytic Number Theory and 11 Spatial Tessellations. Voronoy Conference"

Journal-ref: Sixth International Conference on Analytic Number Theory.(2018) 39. ages" Sixth International Conference on Analytic Number Theory and 11 Spatial Tessellations. Voronoy Conference" Book of abstracts. pp. 37- 39

Subjects: Number Theory (math.NT)

[19] arXiv:1812.00069 [pdf, other]

Title: Automatic Logarithm and Associated Measures

Rostislav Grigorchuk, Roman Kogan, Yaroslav Vorobets

Comments: 46 pages, 17 figures, 4 tables

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

[20] arXiv:1812.00074 [pdf, other]

Title: Energy-efficient Resource Allocation for Wirelessly Powered Backscatter Communications

Yinghui Ye, Liqin Shi, Rose Hu, Guangyue Lu

Comments: It has been accepted by IEEE Communications Letters

Journal-ref: IEEE Communications Letters,2019

Subjects: Information Theory (cs.IT)

[21] arXiv:1812.00079 [pdf, other]

Title: Optimal Combining and Performance Analysis for Two-Way EH Relay Systems with TDBC Protocol

Liqin Shi, Yinghui Ye, Xiaoli Chu, Yangyang Zhang, Hailin Zhang

Comments: This paper has been accepted by IEEE Wireless Communications Letters

Subjects: Information Theory (cs.IT)

[22] arXiv:1812.00081 [pdf, other]

Title: Markov operators generated by symmetric measures

Sergey Bezuglyi, Palle E.T. Jorgensen

Comments: 50 pages

Subjects: Functional Analysis (math.FA); Dynamical Systems (math.DS); Operator Algebras (math.OA)

[23] arXiv:1812.00082 [pdf, other]

Title: On a nonlocal differential equation describing roots of polynomials under differentiation

Rafael Granero-Belinchón

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

[24] arXiv:1812.00083 [pdf, other]

Title: Notes on formal deformations of quantum planes and universal enveloping algebras

Per Bäck

Comments: 7 pages; Updated reference to Ore's article with correct name, deleted 17A01 MSC class, corrected a minor typo in a proof

Journal-ref: Journal of Physics: Conf. Series 1194(1) (2019)

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[25] arXiv:1812.00084 [pdf, other]

Title: Heterogeneous Power-Splitting Based Two-Way DF Relaying with Non-Linear Energy Harvesting

Liqin Shi, Wenchi Cheng, Yinghui Ye, Hailin Zhang, Rose Qingyang Hu

Comments: This article has been accepted by IEEE GLOBECOM2018

Journal-ref: IEEE Globecom, 2018

Subjects: Information Theory (cs.IT)

[26] arXiv:1812.00092 [pdf, other]

Title: Admissible vectors and Hilbert algebras

F. Gómez-Cubillo, S. Wickramasekara

Subjects: Functional Analysis (math.FA); Operator Algebras (math.OA)

[27] arXiv:1812.00093 [pdf, other]

Title: Using Column Generation to Solve Extensions to the Markowitz Model

Lorenz M. Roebers, Aras Selvi, Juan C. Vera

Comments: 16 pages, 3 figures, 2 tables, 1 pseudocode

Subjects: Optimization and Control (math.OC); Portfolio Management (q-fin.PM)

[28] arXiv:1812.00094 [pdf, other]

Title: On $n$-ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras

Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov

Subjects: Rings and Algebras (math.RA)

[29] arXiv:1812.00100 [pdf, other]

Title: Kernel based method for the $k$-sample problem

Armando Sosthene Kali Balogoun, Guy Martial Nkiet, Carlos Ogouyandjou

Comments: 30 pages, 4 figures

Subjects: Statistics Theory (math.ST)

[30] arXiv:1812.00112 [pdf, other]

Title: Elliptic Operators and K-Homology

Anna Duwenig

Comments: final version, accepted for publication in Rocky Mountain J. Math. Changes from v1: Subsection about Index Theorem was removed; discussion of p-gradings shortened; example of Dirac operator on the circle was added (Example 3 on p. 5, Example 4 on p. 11, Example 5 on p. 14, and Example 8 on p. 28); 34 pages

Journal-ref: Rocky Mountain J. Math. 50 (2020) 91-124

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

[31] arXiv:1812.00114 [pdf, other]

Title: The Duality between Ideals of Multilinear Operators and Tensor Norms

Samuel García-Hernández

Comments: 19 pages

Subjects: Functional Analysis (math.FA)

[32] arXiv:1812.00122 [pdf, other]

Title: Joyal's Suspension Functor on $\Theta $ and Kan's Combinatorial Spectra

Paul Lessard

Comments: Superseded by Z-Categories 1 (arXiv:2206.00849) and Z-Categories 2 (forthcoming)

Subjects: Category Theory (math.CT)

[33] arXiv:1812.00127 [pdf, other]

Title: Markov chain Monte Carlo Methods For Lattice Gaussian Sampling: Lattice Reduction and Decoding Optimization

Zheng Wang, Yang Huang, Shanxiang Lyu

Comments: Submitted to IEEE Transaction on Signal Processing

Subjects: Information Theory (cs.IT)

[34] arXiv:1812.00128 [pdf, other]

Title: Smoothing and parameter estimation by soft-adherence to governing equations

Samuel Rudy, Steven Brunton, J. Nathan Kutz

Subjects: Numerical Analysis (math.NA)

[35] arXiv:1812.00133 [pdf, other]

Title: On a Sufficient Condition for Planar Graphs of Maximum Degree 6 to be Totally 7-Colorable

Enqiang Zhu, Chanjuan Liu, Yongsheng Rao

Subjects: Combinatorics (math.CO)

[36] arXiv:1812.00142 [pdf, other]

Title: On the mod-$\ell$ homology of the classifying space for commutativity

Cihan Okay, Ben Williams

Journal-ref: Algebr. Geom. Topol. 20 (2020) 883-923

Subjects: Algebraic Topology (math.AT)

[37] arXiv:1812.00145 [pdf, other]

Title: Adaptive QM/MM Coupling for Crystalline Defects

Huajie Chen, Mingjie Liao, Hao Wang, Yangshuai Wang, Lei Zhang

Comments: 21 pages, 9 figures

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[38] arXiv:1812.00146 [pdf, other]

Title: Operator Splitting Performance Estimation: Tight contraction factors and optimal parameter selection

Ernest K. Ryu, Adrien B. Taylor, Carolina Bergeling, Pontus Giselsson

Comments: Published in the SIAM Journal on Optimization

Subjects: Optimization and Control (math.OC)

[39] arXiv:1812.00147 [pdf, other]

Title: On the Nevanlinna problem - Characterization of all Schur-Agler class solutions

Tirthankar Bhattacharyya, Anindya Biswas, Vikramjeet Singh Chandel

Comments: The article has some serious mistakes

Subjects: Functional Analysis (math.FA)

[40] arXiv:1812.00150 [pdf, other]

Title: Controlled weaving frames in Hilbert spaces

Reza Rezapour, Asghar Rahimi, E. Osgooei, Hossien Dehghan

Comments: 17 pages

Subjects: Functional Analysis (math.FA)

[41] arXiv:1812.00153 [pdf, other]

Title: On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective

Jean Bourgain, Mariusz Mirek, Elias M. Stein, Błażej Wróbel

Comments: 24 pages, no figures. Dedicated to Fulvio Ricci on the occasion of his 70th birthday. Revised following the referee report

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[42] arXiv:1812.00154 [pdf, other]

Title: On discrete Hardy-Littlewood maximal functions over the balls in $\mathbb Z^d$: dimension-free estimates

Jean Bourgain, Mariusz Mirek, Elias M. Stein Błażej Wróbel

Comments: 25 pages, no figures. Revised following the referee report. To appear in the Geometric Aspects of Functional Analysis - Israel Seminar (GAFA) 2017-2019, Lecture Notes in Mathematics 2256

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[43] arXiv:1812.00160 [pdf, other]

Title: A Proof of Non-stationary Channel Polarization

Yizhi Zhao, Hongmei Chi, Shiwei Xu, Lingjuan Wu, Yuling Fan

Subjects: Information Theory (cs.IT)

[44] arXiv:1812.00164 [pdf, other]

Title: Parallelism in Hilbert $K(\mathcal{H})$-modules

M. Mohammadi Gohari, M. Amyari

Subjects: Functional Analysis (math.FA)

[45] arXiv:1812.00165 [pdf, other]

Title: Integrated Stabilization Policy over a Software Defined Network

Cheng Tan, Wing Shing Wong, Huanshui Zhang

Subjects: Optimization and Control (math.OC)

[46] arXiv:1812.00167 [pdf, other]

Title: The operator--valued parallelism and norm-parallelism in matrices

M. Mohammadi Gohari, M. Amyari

Subjects: Functional Analysis (math.FA)

[47] arXiv:1812.00170 [pdf, other]

Title: $q$-deformed rationals and $q$-continued fractions

Sophie Morier-Genoud, Valentin Ovsienko

Journal-ref: Forum of Mathematics, Sigma 8 (2020) e13

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

[48] arXiv:1812.00175 [pdf, other]

Title: Minor loops of the Dahl and LuGre models

Fayçal Ikhouane, Víctor Mañosa, Gisela Pujol

Comments: 24 pages, 16 figures

Journal-ref: Applied Mathematical Modelling 77 (2020), 1679-1690

Subjects: Dynamical Systems (math.DS)

[49] arXiv:1812.00178 [pdf, other]

Title: Non-perverse parity sheaves on the flag variety

Peter J. McNamara

Comments: 10pp. minor revisions for v4. Remains a significantly more detailed proof than the initial posting with Theorem 5.1 possibly of independent interest

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

[50] arXiv:1812.00188 [pdf, other]

Title: Thin set theorems and cone avoidance

Peter Cholak, Ludovic Patey

Comments: 30 pages

Subjects: Logic (math.LO)