Mathematics

Authors and titles for April 2018

[2301] arXiv:1804.08919 [pdf, other]

Title: How to generalize (and not to generalize) the Chu--Vandermonde identity

Alan D. Sokal

Comments: LaTeX2e, 12 pages. To appear in the American Mathematical Monthly

Journal-ref: Amer. Math. Monthly 127, 54-62 (2020)

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

[2302] arXiv:1804.08920 [pdf, other]

Title: Trihedral Soergel bimodules

Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz, Daniel Tubbenhauer

Comments: 61 pages, many colored figures, revised version, comments welcome, to appear in Fund. Math

Journal-ref: Fund. Math. 248 (2020), no. 3, 219-300

Subjects: Representation Theory (math.RT); Category Theory (math.CT); Quantum Algebra (math.QA)

[2303] arXiv:1804.08922 [pdf, other]

Title: Throughput and Energy-Efficient Network Slicing

Bho Matthiesen, Osman Aydin, Eduard A. Jorswieck

Comments: Presented at International ITG Workshop on Smart Antennas (WSA) Bochum, Germany

Journal-ref: Proceedings of WSA 2018; 22nd International ITG Workshop on Smart Antennas

Subjects: Information Theory (cs.IT)

[2304] arXiv:1804.08926 [pdf, other]

Title: Optimization of Weighted Individual Energy Efficiencies in Interference Network

Bho Matthiesen, Yang Yang, Eduard A. Jorswieck

Comments: Presented at IEEE Wireless Communications and Networking Conference (WCNC) Barcelona, Spain

Subjects: Information Theory (cs.IT)

[2305] arXiv:1804.08928 [pdf, other]

Title: Sheaf Quantization of Legendrian Isotopy

Peng Zhou

Comments: v1:19 pages, 3 figures. v2: updated Prop 2.12's condition

Subjects: Symplectic Geometry (math.SG)

[2306] arXiv:1804.08931 [pdf, other]

Title: Graphs with sparsity order at most two: The complex case

S. ter Horst, E.M. Klem

Comments: 20 pages

Journal-ref: Linear and Multilinear Algebra 65 (2017), 2367-2386

Subjects: Functional Analysis (math.FA); Combinatorics (math.CO)

[2307] arXiv:1804.08934 [pdf, other]

Title: A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties

G.J. Groenewald, S. ter Horst, J. Jaftha, A.C.M. Ran

Comments: 27 pages, accepted for Operator Theory: Advances and Applications volume

Journal-ref: Operator Theory: Advances and Applications, 2018

Subjects: Functional Analysis (math.FA)

[2308] arXiv:1804.08937 [pdf, other]

Title: Nilpotent Graph

Dhiren Kumar Basnet, Ajay Sharma, Rahul Dutta

Comments: 8 pages, 2 figures

Subjects: Rings and Algebras (math.RA); Combinatorics (math.CO)

[2309] arXiv:1804.08941 [pdf, other]

Title: A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum

G.J. Groenewald, S. ter Horst, J. Jaftha, A.C.M. Ran

Comments: 20 pages, accepted for a Operator Theory: Advances and Applications volume

Journal-ref: Operator Theory: Advances and Applications, 2019

Subjects: Functional Analysis (math.FA)

[2310] arXiv:1804.08943 [pdf, other]

Title: The variational structure and time-periodic solutions for mean-field games systems

Marco Cirant, Levon Nurbekyan

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[2311] arXiv:1804.08945 [pdf, other]

Title: Estimating the division rate and kernel in the fragmentation equation

Marie Doumic (MAMBA), Miguel Escobedo, Magali Tournus (ECM)

Journal-ref: Annales de l'Institut Henri Poincar{\'e} (C) Non Linear Analysis, Elsevier

Subjects: Analysis of PDEs (math.AP)

[2312] arXiv:1804.08947 [pdf, other]

Title: Stochastic integration in quasi-Banach spaces

Petru A. Cioica-Licht, Sonja G. Cox, Mark C. Veraar

Subjects: Probability (math.PR); Functional Analysis (math.FA)

[2313] arXiv:1804.08949 [pdf, other]

Title: Cartan geometries on complex manifolds of algebraic dimension zero

Indranil Biswas, Sorin Dumitrescu, Benjamin McKay

Comments: v3 is the final version published in EPIGA

Journal-ref: Epijournal de G\'eom\'etrie Alg\'ebrique, volume 3 (2019), Article 19

Subjects: Differential Geometry (math.DG)

[2314] arXiv:1804.08952 [pdf, other]

Title: Essential spectrum for Maxwell's equations

Giovanni S. Alberti, Malcolm Brown, Marco Marletta, Ian Wood

Comments: 22 pages

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

[2315] arXiv:1804.08954 [pdf, other]

Title: Efficient Equalization Method for Cyclic Prefix-Free Coarsely Quantized Massive MIMO Systems

Jawad Munir, Daniel Plabst, Josef A. Nossek

Comments: Submitted to and accepted at ICC 2018

Subjects: Information Theory (cs.IT)

[2316] arXiv:1804.08955 [pdf, other]

Title: A new class of convolutional codes and its use in the McEliece Cryptosystem

P. Almeida, D. Napp

Subjects: Information Theory (cs.IT)

[2317] arXiv:1804.08960 [pdf, other]

Title: Similarity problems, Folner sets and isometric representations of amenable semigroups

Catalin Badea, Laurian Suciu

Comments: Final version. Referee's comments incorporated

Journal-ref: Mediterr. J. Math. (2019) 16: 5

Subjects: Functional Analysis (math.FA); Group Theory (math.GR); Operator Algebras (math.OA); Spectral Theory (math.SP)

[2318] arXiv:1804.08963 [pdf, other]

Title: The functional model for maximal dissipative operators: An approach in the spirit of operator knots

B.M. Brown, M. Marletta, S. Naboko, I. Wood

Subjects: Functional Analysis (math.FA); Spectral Theory (math.SP)

[2319] arXiv:1804.08966 [pdf, other]

Title: Deformations of smooth function on $2$-torus whose KR-graph is a tree

Bohdan Feshchenko

Comments: 8 pages

Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT)

[2320] arXiv:1804.08967 [pdf, other]

Title: One simple remark concerning the uniform value

Dmitry Khlopin

Subjects: Optimization and Control (math.OC)

[2321] arXiv:1804.08973 [pdf, other]

Title: A classification result on prime Hopf algebras of GK-dimension one

Gongxiang Liu

Comments: 92 pages. In page 2, the graph should be "cusp $\in ^{\Z_6}_{Z_6}\mathcal{YD}$ ". Your comments are very welcome! Comparing with the first version, some typos were corrected

Journal-ref: Journal of Algebra, 547 (2020) 579-667

Subjects: Quantum Algebra (math.QA)

[2322] arXiv:1804.08974 [pdf, other]

Title: Exact density matrix for quantum group invariant sector of XXZ model

Fedor Smirnov

Comments: 23 pages, 7 figures

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)

[2323] arXiv:1804.08980 [pdf, other]

Title: Rate-Distortion Theory for General Sets and Measures

Erwin Riegler, Günther Koliander, Helmut Bölcskei

Subjects: Information Theory (cs.IT)

[2324] arXiv:1804.08981 [pdf, other]

Title: An Analytic Model for left invertible Weighted Translation Semigroups

Geetanjali M. Phatak, V. M. Sholapurkar

Comments: 14 pages

Subjects: Functional Analysis (math.FA)

[2325] arXiv:1804.08991 [pdf, other]

Title: Domination game and minimal edge cuts

Sandi Klavžar, Douglas F. Rall

Comments: 15 pages, 1 figure

Subjects: Combinatorics (math.CO)

[2326] arXiv:1804.08993 [pdf, other]

Title: Resource Allocation and Interference Management in OFDMA-based VLC Networks

Marwan Hammouda, Anna Maria Vegni, Harald Haas, Jürgen Peissig

Subjects: Information Theory (cs.IT)

[2327] arXiv:1804.08994 [pdf, other]

Title: Higgs bundles over non-compact Gauduchon manifolds

Chuanjing Zhang, Pan Zhang, Xi Zhang

Comments: 25 pages

Subjects: Differential Geometry (math.DG)

[2328] arXiv:1804.08999 [pdf, other]

Title: Analytical properties for degenerate equations

Tobias Holck Colding, William P. Minicozzi II

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

[2329] arXiv:1804.09002 [pdf, other]

Title: A Backward Stable Algorithm for Computing the CS Decomposition via the Polar Decomposition

Evan S. Gawlik, Yuji Nakatsukasa, Brian D. Sutton

Subjects: Numerical Analysis (math.NA)

[2330] arXiv:1804.09008 [pdf, other]

Title: Topological full groups and t.d.l.c. completions of Thompson's $V$

Waltraud Lederle

Comments: Formulation of statements correted, simplicity result added

Subjects: Group Theory (math.GR)

[2331] arXiv:1804.09014 [pdf, other]

Title: On robust stopping times for detecting changes in distribution

Yuri Golubev, Mher Safarian

Subjects: Statistics Theory (math.ST)

[2332] arXiv:1804.09016 [pdf, other]

Title: Modular Arithmetic Erasure Channels and Their Multilevel Channel Polarization

Yuta Sakai, Ken-ichi Iwata, Hiroshi Fujisaki

Comments: 42 pages, 4 figures, 1 table, accepted by IEEE Transactions on Information Theory on April 2020

Journal-ref: IEEE Transactions on Information Theory, vol. 66, no. 7, pp. 3976--4006, July 2020

Subjects: Information Theory (cs.IT)

[2333] arXiv:1804.09024 [pdf, other]

Title: Quelques remarques sur les vari{\'e}t{\'e}s, fonctions de Green et formule de Stokes

Samy Skander Bahoura (IHP)

Subjects: General Mathematics (math.GM)

[2334] arXiv:1804.09026 [pdf, other]

Title: Additive higher rho invariant for structure group in differential point of view

Baojie Jiang, Hongzhi Liu

Comments: arXiv admin note: text overlap with arXiv:1302.4418, arXiv:1608.03661 by other authors

Subjects: Differential Geometry (math.DG); Functional Analysis (math.FA)

[2335] arXiv:1804.09029 [pdf, other]

Title: The $Q_2$-free process in the hypercube

J. Robert Johnson, Trevor Pinto

Comments: 12 pages. Minor changes in response to referee's comments. To appear in The Electronic Journal of Combinatorics

Subjects: Combinatorics (math.CO); Probability (math.PR)

[2336] arXiv:1804.09031 [pdf, other]

Title: Every planar graph without 4-cycles adjacent to two triangles is DP-4-colorable

Runrun Liu, Xiangwen Li

Comments: 8pages,0figures. arXiv admin note: text overlap with arXiv:1804.03976

Subjects: Combinatorics (math.CO)

[2337] arXiv:1804.09033 [pdf, other]

Title: Quadratic homogeneous polynomial maps $H$ and Keller maps $x+H$ with $rk JH=3$

Michiel de Bondt, Xiaosong Sun

Comments: arXiv admin note: substantial text overlap with arXiv:1711.00904

Subjects: Algebraic Geometry (math.AG)

[2338] arXiv:1804.09034 [pdf, other]

Title: A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures

Mohamed Menceur, Anouar Ben Mabrouk

Comments: 41 pages. arXiv admin note: substantial text overlap with arXiv:1212.5683

Subjects: Metric Geometry (math.MG); Classical Analysis and ODEs (math.CA)

[2339] arXiv:1804.09035 [pdf, other]

Title: Stability of Extended Functional Persistence in Dimensions Zero and One

Elchanan Solomon

Comments: arXiv admin note: text overlap with arXiv:1703.02901 by other authors. Mistake found in the main theorem, the result is not true as stated

Subjects: Algebraic Topology (math.AT)

[2340] arXiv:1804.09036 [pdf, other]

Title: $\alpha$-associated Metric On Rigged Null hypersurfaces

Ferdinand Ngakeu, Hans Fotsing Tetsing

Comments: 15 pages

Subjects: Differential Geometry (math.DG)

[2341] arXiv:1804.09038 [pdf, other]

Title: The Obstacle Problem for Quasilinear Stochastic Integral-Partial Differential Equations

Yuchao Dong, Xue Yang, Jing Zhang

Comments: arXiv admin note: text overlap with arXiv:1010.2307 by other authors

Subjects: Probability (math.PR)

[2342] arXiv:1804.09040 [pdf, other]

Title: Optimal User Scheduling in Energy Harvesting Wireless Networks

Kalpant Pathak, Sanket S. Kalamkar, Adrish Banerjee

Comments: Accepted in IEEE Transactions on Communications

Subjects: Information Theory (cs.IT)

[2343] arXiv:1804.09042 [pdf, other]

Title: Symplectic integration of boundary value problems

Robert I McLachlan, Christian Offen

Comments: arXiv admin note: substantial text overlap with arXiv:1804.07468

Journal-ref: Numerical Algorithms (2018)

Subjects: Numerical Analysis (math.NA)

[2344] arXiv:1804.09050 [pdf, other]

Title: The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator

Xue Yang, Jing Zhang

Comments: arXiv admin note: text overlap with arXiv:1202.3296

Subjects: Probability (math.PR)

[2345] arXiv:1804.09051 [pdf, other]

Title: The Obstacle Problem for Quasilinear Stochastic PDEs with Neumann boundary condition

Yuchao Dong, Xue Yang, Jing Zhang

Comments: arXiv admin note: text overlap with arXiv:1202.3296, arXiv:1804.09050; substantial text overlap with arXiv:1301.1221 by other authors

Subjects: Probability (math.PR)

[2346] arXiv:1804.09053 [pdf, other]

Title: Real representation theory of finite categorical groups

Matthew B. Young

Comments: 51 pages, many figures

Subjects: Representation Theory (math.RT); Algebraic Topology (math.AT); Category Theory (math.CT)

[2347] arXiv:1804.09063 [pdf, other]

Title: On the existence of superspecial nonhyperelliptic curves of genus $4$

Momonari Kudo

Comments: An article putting results in this paper and in [arXiv:1807.04394] together will be appeared in Communications in Algebra

Journal-ref: Communications in Algebra, Vol. 47, Issue 12, 5020-5038, 2019

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

[2348] arXiv:1804.09065 [pdf, other]

Title: On $p$-robust saturation on quadrangulations

Jan Westerdiep

Comments: 18 pages, with one table and 4 figures

Subjects: Numerical Analysis (math.NA)

[2349] arXiv:1804.09067 [pdf, other]

Title: Categoricity in multiuniversal classes

Nathanael Ackerman, Will Boney, Sebastien Vasey

Comments: 15 pages

Subjects: Logic (math.LO)

[2350] arXiv:1804.09068 [pdf, other]

Title: Preprojective Analogue of the Cone Construction

Benjamin Cooper, Joshua Sussan

Subjects: Algebraic Topology (math.AT)