Mathematics

Authors and titles for July 2018

[201] arXiv:1807.00719 [pdf, other]

Title: Gaussian Signalling for Covert Communications

Shihao Yan, Yirui Cong, Stephen Hanly, Xiangyun Zhou

Comments: 12 pages, 6 figures; Accepted by IEEE Transactions on Wireless Communications

Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR)

[202] arXiv:1807.00727 [pdf, other]

Title: Isoparametric functions and nodal solutions of the Yamabe equation

Guillermo Henry

Comments: 23 pages, minor changes. To appear in Annals of Global Analysis and Geometry

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

[203] arXiv:1807.00730 [pdf, other]

Title: Radially weighted Besov spaces and the Pick property

Alexandru Aleman, Michael Hartz, John E. McCarthy, Stefan Richter

Comments: 32 pages

Journal-ref: Analysis of operators on function spaces, 29-61, Trends Math., Birkh\"auser/Springer, Cham, 2019

Subjects: Functional Analysis (math.FA)

[204] arXiv:1807.00732 [pdf, other]

Title: Localization for quasiperiodic operators with unbounded monotone potentials

Ilya Kachkovskiy

Comments: 19 pages. The result now covers a larger class of potentials. New Section 8 added (with a proof that the spectrum is the real line)

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[205] arXiv:1807.00738 [pdf, other]

Title: Treating Interference as Noise in Cellular Networks: A Stochastic Geometry Approach

Mudasar Bacha, Marco Di Renzo, Bruno Clerckx

Comments: Submitted to IEEE TWC

Subjects: Information Theory (cs.IT)

[206] arXiv:1807.00739 [pdf, other]

Title: Energy contribution of a point interacting impurity in a Fermi gas

Thomas Moser, Robert Seiringer

Comments: LaTeX, 39 pages

Journal-ref: Ann. Henri Poincare 20, 1325-1365 (2019)

Subjects: Mathematical Physics (math-ph); Quantum Gases (cond-mat.quant-gas)

[207] arXiv:1807.00742 [pdf, other]

Title: A note on orderability and Dehn filling

Christopher Herald, Xingru Zhang

Subjects: Geometric Topology (math.GT)

[208] arXiv:1807.00747 [pdf, other]

Title: Online Label Recovery for Deep Learning-based Communication through Error Correcting Codes

Stefan Schibisch, Sebastian Cammerer, Sebastian Dörner, Jakob Hoydis, Stephan ten Brink

Comments: accepted for ISWCS 2018

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

[209] arXiv:1807.00749 [pdf, other]

Title: Generating functions for power moments of elliptic curves over $\mathbb{F}_p$

Katherine Gallagher, Lucia Li, Naomi Sweeting, Katja Vassilev, Katharine Woo

Comments: 11 pages

Subjects: Number Theory (math.NT)

[210] arXiv:1807.00750 [pdf, other]

Title: Crystal flex bases and the RUM spectrum

Ghada Badri, Derek Kitson, Stephen C. Power

Comments: 21 pages

Subjects: Mathematical Physics (math-ph); Metric Geometry (math.MG)

[211] arXiv:1807.00754 [pdf, other]

Title: Semidefinite Approximations of Invariant Measures for Polynomial Systems

Victor Magron, Marcelo Forets, Didier Henrion

Comments: 28 pages, 14 figures

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)

[212] arXiv:1807.00757 [pdf, other]

Title: On Possible Limit Functions on a Fatou Component in non-Autonomous Iteration

Mark Comerford, Christopher Staniszewski

Subjects: Dynamical Systems (math.DS)

[213] arXiv:1807.00766 [pdf, other]

Title: Slightly degenerate categories and $\mathbb{Z}$-modular data

Abel Lacabanne

Comments: 24 pages, added some examples, a theorem of Vafa and removed a mild hypothesis in section 3

Journal-ref: Int. Math. Res. Not. IMRN (2021), no. 12, 9340-9374

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

[214] arXiv:1807.00767 [pdf, other]

Title: Moments of general time dependent branching processes with applications

Tamás F. Móri, Sándor Rokob

Comments: 12 pages

Subjects: Probability (math.PR)

[215] arXiv:1807.00770 [pdf, other]

Title: Drinfeld double of quantum groups, tilting modules and $\mathbb{Z}$-modular data associated to complex reflection groups

Abel Lacabanne

Comments: 42 pages, some comments added on a conjecture of Cuntz

Journal-ref: J. Comb. Algebra 4 (2020), no. 3, 269-323

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

[216] arXiv:1807.00793 [pdf, other]

Title: Hypergraph Lagrangians I: the Frankl-F\"uredi conjecture is false

Vytautas Gruslys, Shoham Letzter, Natasha Morrison

Comments: We split our original paper (arXiv:1807.00793v2) into two parts. This first part consists of 24 pages, including a one-page appendix. The second part appears in a new submission (arXiv:1907.09797)

Subjects: Combinatorics (math.CO)

[217] arXiv:1807.00797 [pdf, other]

Title: Black holes and class groups

Nathan Benjamin, Shamit Kachru, Ken Ono, Larry Rolen

Comments: 23 pages, 4 figures

Subjects: Number Theory (math.NT); High Energy Physics - Theory (hep-th)

[218] arXiv:1807.00811 [pdf, other]

Title: $N^{3/4}$ law in the cubic lattice

Edoardo Mainini, Paolo Piovano, Bernd Schmidt, Ulisse Stefanelli

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO)

[219] arXiv:1807.00815 [pdf, other]

Title: Analogue of DP-coloring on variable degeneracy and its applications on list vertex-arboricity and DP-coloring

Pongpat Sittitrai, Kittikorn Nakprasit

Comments: 8 pages, 5 figures

Subjects: Combinatorics (math.CO)

[220] arXiv:1807.00833 [pdf, other]

Title: Surface groups, infinite generating sets, and stable commutator length

Dan Margalit, Andrew Putman

Comments: 8 pages, 2 figures; to appear in Proc. Roy. Soc. Edinburgh Sect. A

Journal-ref: Proc. Roy. Soc. Edinburgh Sect. A. 150 (2020), no. 5, 2379-2386

Subjects: Geometric Topology (math.GT); Group Theory (math.GR)

[221] arXiv:1807.00834 [pdf, other]

Title: The choice of representative volumes in the approximation of effective properties of random materials

Julian Fischer

Comments: 84 pages

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

[222] arXiv:1807.00838 [pdf, other]

Title: Intersection of quadrics in ${\mathbb{C}}^n$, moment-angle manifolds, complex manifolds and convex polytopes

Alberto Verjovsky

Subjects: Complex Variables (math.CV)

[223] arXiv:1807.00843 [pdf, other]

Title: Effective divisor classes on metric graphs

Andreas Gross, Farbod Shokrieh, Lilla Tóthmérész

Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO)

[224] arXiv:1807.00845 [pdf, other]

Title: $G_{\delta}$ sets in $\sigma$-ideals generated by compact sets

Maya Saran

Comments: New version (Feb 23, 2019) has corrected typos and minor changes to arguments. Results unchanged

Subjects: Logic (math.LO)

[225] arXiv:1807.00849 [pdf, other]

Title: A possible new path to proving the Riemann Hypothesis

Jing Min Zhu

Comments: 15 pages, 6 figures

Subjects: General Mathematics (math.GM)

[226] arXiv:1807.00855 [pdf, other]

Title: On real polynomial local homeomorphisms

Alexandre Fernandes, Zbigniew Jelonek

Subjects: Geometric Topology (math.GT)

[227] arXiv:1807.00863 [pdf, other]

Title: The rigidity theorem of Fano--Segre--Iskovskikh--Manin--Pukhlikov--Corti--Cheltsov--de Fernex--Ein--Musta\cedilla{t}\u{a}--Zhuang

János Kollár

Subjects: Algebraic Geometry (math.AG)

[228] arXiv:1807.00873 [pdf, other]

Title: A Geometric Approach to the Concept of Extensivity in Thermodynamics

Miguel Ángel García-Ariza

Journal-ref: SIGMA 15 (2019), 015, 14 pages

Subjects: Mathematical Physics (math-ph)

[229] arXiv:1807.00875 [pdf, other]

Title: On analyticity of semigroups on Bochner spaces and on vector-valued noncommutative $\mathrm{L}^p$-spaces

Cédric Arhancet

Comments: 21 pages, extension of the results to amenable groups

Subjects: Functional Analysis (math.FA)

[230] arXiv:1807.00876 [pdf, other]

Title: Improved Robust Adaptive Control of High-order Nonlinear Systems with Guaranteed Performance

Hashim Abdellah Hashim Mohamed

Comments: master's thesis, King Faud Univ (2014)

Subjects: Optimization and Control (math.OC)

[231] arXiv:1807.00884 [pdf, other]

Title: Domains and Stochastic Processes

Michael Mislove

Comments: arXiv admin note: substantial text overlap with arXiv:1607.07698

Journal-ref: Theoretical Computer Science, Volume 807, 6 February 2020, Pages 284-297

Subjects: Logic (math.LO); Logic in Computer Science (cs.LO)

[232] arXiv:1807.00885 [pdf, other]

Title: Normality conditions of structures in coarse geometry and an alternative description of coarse proximities

Pawel Grzegrzolka, Jeremy Siegert

Comments: 13 pages

Journal-ref: Topology Proceedings, 53:285-299, 2019

Subjects: General Topology (math.GN)

[233] arXiv:1807.00887 [pdf, other]

Title: Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles

Roberto Giambò, Fabio Giannoni, Paolo Piccione

Comments: 24 pages. Accepted for publication on Calc Var PDE

Subjects: Dynamical Systems (math.DS)

[234] arXiv:1807.00889 [pdf, other]

Title: A Note on the generating function of p-Bernoulli numbers

Markus Kuba

Comments: 6 pages

Subjects: Combinatorics (math.CO)

[235] arXiv:1807.00891 [pdf, other]

Title: Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models

Amelia Perry, Alexander S. Wein, Afonso S. Bandeira, Ankur Moitra

Comments: 67 pages, 3 figures. This is the journal version of part I of arXiv:1609.05573, accepted to the Annals of Statistics. This version includes the supplementary material as appendices

Journal-ref: Ann. Statist., Volume 46, Number 5 (2018), 2416-2451

Subjects: Statistics Theory (math.ST); Data Structures and Algorithms (cs.DS); Information Theory (cs.IT); Probability (math.PR); Machine Learning (stat.ML)

[236] arXiv:1807.00892 [pdf, other]

Title: On the Asymptotics of a Prime Spin Relation

Christine McMeekin

Comments: Erratum plus Original version

Subjects: Number Theory (math.NT)

[237] arXiv:1807.00901 [pdf, other]

Title: On the fixed locus of framed instanton sheaves on $\mathbb{P}^{3}$

Abdelmoubine Amar Henni

Comments: 27 pages; corrections in section 4 and non primitive case added for c=3

Journal-ref: Pacific J. Math. 308 (2020) 41-72

Subjects: Algebraic Geometry (math.AG)

[238] arXiv:1807.00903 [pdf, other]

Title: Third Double-layer Potential for generalized bi-axially symmetric Helmholtz equation

Tuhtasin Ergashev

Comments: 13 pages, in Russian

Subjects: Analysis of PDEs (math.AP)

[239] arXiv:1807.00908 [pdf, html, other]

Title: $7x\pm1$: Close Relative of Collatz Problem

David Barina

Comments: fixed small typo

Subjects: Number Theory (math.NT)

[240] arXiv:1807.00910 [pdf, other]

Title: Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling

Tomas Roubicek, Ulisse Stefanelli

Comments: The involved analytical aspects of the plastic model itself are scrutinized in detail in arXiv:1804.05742 (arXiv admin note: slight text overlap with arXiv:1804.05742)

Subjects: Analysis of PDEs (math.AP)

[241] arXiv:1807.00915 [pdf, other]

Title: Diffusion Parameter Estimation for the Homogenized Equation

Theodoros Manikas, Anastasia Papavasiliou

Comments: 25 pages, 2 figures. Based on the PhD thesis of T. Manikas (Department of Statistics, University of Warwick)

Subjects: Statistics Theory (math.ST)

[242] arXiv:1807.00917 [pdf, other]

Title: Generic Simplicity of Spectral Edges and Applications to Homogenization

Sivaji Ganesh Sista, Vivek Tewary

Comments: 46 pages, 3 figures

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

[243] arXiv:1807.00919 [pdf, other]

Title: Drinfeld Yangian of the queer Lie superalgebra. I

Vladimir Stukopin

Comments: 25 pages

Subjects: Quantum Algebra (math.QA)

[244] arXiv:1807.00922 [pdf, other]

Title: Positivity, complex FIOs, and Toeplitz operators

Lewis Coburn, Michael Hitrik, Johannes Sjoestrand

Journal-ref: Pure Appl. Analysis 1 (2019) 327-357

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

[245] arXiv:1807.00928 [pdf, other]

Title: Tian's properness conjectures: an introduction to Kahler geometry

Yanir A. Rubinstein

Journal-ref: Geometric Analysis (J. Chen et al., Eds.), Progress in Mathematics, Vol. 333, Birkhauser, 2020, pp. 381-443

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

[246] arXiv:1807.00935 [pdf, other]

Title: Secure Transmission to the Strong User with Optimal Power Allocation in NOMA

Youhong Feng, Shihao Yan, Zhen Yang

Subjects: Information Theory (cs.IT)

[247] arXiv:1807.00937 [pdf, other]

Title: Constrained dynamical optimal transport and its Lagrangian formulation

Wuchen Li, Stanley Osher

Subjects: Optimization and Control (math.OC)

[248] arXiv:1807.00945 [pdf, other]

Title: Diffusion-Driven Instability of a fourth order system

Jooyeon Chung

Comments: 28 pages, 11 figures

Subjects: Spectral Theory (math.SP); Pattern Formation and Solitons (nlin.PS)

[249] arXiv:1807.00949 [pdf, other]

Title: Slowdown estimates for one-dimensional random walks in random environment with holding times

Amir Dembo, Ryoki Fukushima, Naoki Kubota

Comments: 13 pages. There are corrections in the extreme value lemmas and the quenched slowdown estimates

Journal-ref: Electronic Communications in Probability 2018, Vol. 23, paper no. 89, 1-12

Subjects: Probability (math.PR)

[250] arXiv:1807.00952 [pdf, other]

Title: Besov continuity for global operators on compact Lie groups: the critical case $p=q=\infty.$

Duván Cardona Sánchez

Subjects: Analysis of PDEs (math.AP)