Mathematics

Authors and titles for April 2018

[2201] arXiv:1804.08462 [pdf, other]

Title: One-dimensional scaling limits in a planar Laplacian random growth model

Alan Sola, Amanda Turner, Fredrik Viklund

Comments: In version 3, the order of sections has been rearranged and a few minor typos have been corrected

Journal-ref: Communications in Mathematical Physics 371 (2019), 285-329

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Complex Variables (math.CV)

[2202] arXiv:1804.08464 [pdf, other]

Title: Robust Beamforming with Pilot Reuse Scheduling in a Heterogeneous Cloud Radio Access Network

Hao Xu, Cunhua Pan, Wei Xu, Gordon L. Stüber, Jianfeng Shi, Ming Chen

Comments: 14 pages, 9 figures, to appear in IEEE Transactions on Vehicular Technology

Subjects: Information Theory (cs.IT)

[2203] arXiv:1804.08466 [pdf, other]

Title: Recovering the boundary path space of a topological graph using pointless topology

Gilles G. de Castro

Subjects: Operator Algebras (math.OA); General Topology (math.GN)

[2204] arXiv:1804.08469 [pdf, other]

Title: The Neumann Boundary Problem for Elliptic Partial Differential Equations with Nonlinear Divergence Terms

Xue Yang, Jing Zhang

Subjects: Probability (math.PR)

[2205] arXiv:1804.08475 [pdf, other]

Title: Existence of equivariant models of G-varieties

Mikhail Borovoi

Comments: 14 pages, typos corrected

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

[2206] arXiv:1804.08478 [pdf, other]

Title: Systems of Reflected Stochastic PDEs in a Convex Domain: Analytical Approach

Xue Yang, Jing Zhang

Comments: there was error in section 4 from Page 16 to page 17

Subjects: Probability (math.PR)

[2207] arXiv:1804.08481 [pdf, other]

Title: The Hilbert scheme of hyperelliptic Jacobians and moduli of Picard sheaves

Andrea T. Ricolfi

Comments: Improved the exposition according to the referees' suggestions. To appear in Algebra and Number Theory

Journal-ref: Alg. Number Th. 14 (2020) 1381-1397

Subjects: Algebraic Geometry (math.AG)

[2208] arXiv:1804.08483 [pdf, other]

Title: Erd\H{o}s' Multiplication Table Problem for Function Fields and Symmetric Groups

Patrick Meisner

Subjects: Number Theory (math.NT)

[2209] arXiv:1804.08485 [pdf, other]

Title: Interpolation in de Branges-Rovnyak spaces

Joseph A. Ball, Vladimir Bolotnikov, Sanne Ter Horst

Comments: 10 pages

Journal-ref: Proceedings of the AMS 139 (2011), 609-618

Subjects: Functional Analysis (math.FA)

[2210] arXiv:1804.08489 [pdf, other]

Title: Understanding UAV Cellular Communications: From Existing Networks to Massive MIMO

Giovanni Geraci, Adrian Garcia-Rodriguez, Lorenzo Galati Giordano, David López-Pérez, Emil Björnson

Comments: arXiv admin note: text overlap with arXiv:1802.01527

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

[2211] arXiv:1804.08490 [pdf, other]

Title: Global existence of quasi-stratified solutions for the confined IPM equation

Angel Castro, Diego Córdoba, Daniel Lear

Comments: 24 pages. Updated funding

Subjects: Analysis of PDEs (math.AP)

[2212] arXiv:1804.08492 [pdf, other]

Title: Abstract interpolation in vector-valued de Branges-Rovnyak spaces

Joseph A. Ball, Vladimir Bolotnikov, Sanne ter Horst

Comments: 32 pages

Journal-ref: Integral Equation and Operator Theory 70 (2011), 227-263

Subjects: Functional Analysis (math.FA)

[2213] arXiv:1804.08494 [pdf, other]

Title: On the Asymptotic Normality of Adaptive Multilevel Splitting

Frédéric Cérou, Bernard Delyon, Arnaud Guyader, Mathias Rousset

Comments: 38 pages, 5 figures

Subjects: Probability (math.PR)

[2214] arXiv:1804.08495 [pdf, other]

Title: Correlations for symplectic and orthogonal Schur measures

Dan Betea

Comments: 23 pages; minor edits compared to v1: added more details in proof of Thm 4, slightly altered the abstract, changed \tilde and \check notation so the former agrees with the literature, changed awkward indexing of Toeplitz+Hankel determinants, corrected typos and other minor errors

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO); Probability (math.PR); Representation Theory (math.RT)

[2215] arXiv:1804.08498 [pdf, other]

Title: All solutions to an operator Nevanlinna-Pick interpolation problem

A.E. Frazho, S. Ter Horst, M.A. Kaashoek

Comments: 72 pages

Journal-ref: Operator Theory: Advances and Applications 262 (2018), 138-220

Subjects: Functional Analysis (math.FA)

[2216] arXiv:1804.08503 [pdf, other]

Title: Hirzebruch surfaces in a one-parameter family

Fiammetta Battaglia, Elisa Prato, Dan Zaffran

Comments: 15 pages, 10 figures, final version, to appear in Boll. Unione Mat. Ital

Journal-ref: Boll. Unione Mat. Ital. 12 (2019), 293-305

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

[2217] arXiv:1804.08504 [pdf, other]

Title: Orbital integrals on Lorentzian symmetric spaces

Thibaut Grouy (Université libre de Bruxelles)

Comments: 29 pages

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

[2218] arXiv:1804.08505 [pdf, other]

Title: Standard versus Bounded Real Lemma with infinite-dimensional state space II: The storage function approach

J.A. Ball, G.J. Groenewald, S. ter Horst

Comments: 45 pages, to appear in Operator Theory: Advances and Applications volume

Subjects: Functional Analysis (math.FA)

[2219] arXiv:1804.08507 [pdf, other]

Title: Standard versus Strict Bounded Real Lemma with infinite-dimensional state space I: The State-Space-Similarity Approach

J.A. Ball, G.J. Groenewald, S. ter Horst

Comments: 25 pages, to appear in Journal of Operator Theory

Subjects: Functional Analysis (math.FA)

[2220] arXiv:1804.08510 [pdf, other]

Title: Standard versus strict Bounded Real Lemma with infinite-dimensional state space III: The dichotomous and bicausal cases

J.A. Ball, G.J. Groenewald, S. ter Horst

Comments: 46 pages

Subjects: Functional Analysis (math.FA)

[2221] arXiv:1804.08511 [pdf, other]

Title: Equivariant dissipation in non-archimedean groups

Friedrich Martin Schneider

Comments: 10 pages, no figures; v2: main results generalized, 16 pages; v3 (taking referee report into account): proof of Theorem 5.1 simplified, Remark 5.11 added, typos corrected, 17 pages, final version to appear in the Israel Journal of Mathematics

Journal-ref: Israel J. Math. 234 (2019) 281-307

Subjects: Metric Geometry (math.MG); General Topology (math.GN); Group Theory (math.GR)

[2222] arXiv:1804.08512 [pdf, other]

Title: The Bezout-corona problem revisited: Wiener space setting

G.J. Groenewald, S. ter Horst, M.A. Kaashoek

Comments: 21 pages

Journal-ref: Complex Analysis and Operator Theory 10 (2016), 115-139

Subjects: Functional Analysis (math.FA)

[2223] arXiv:1804.08515 [pdf, other]

Title: Planarly branched rough paths and rough differential equations on homogeneous spaces

Charles Curry, Kurusch Ebrahimi-Fard, Dominique Manchon, Hans Z. Munthe-Kaas

Comments: 37 pages, uses axodraw. This version accepted for publication in J. Differential Equations

Journal-ref: Journal of Differential Equations, 269, (2020) 9740-9782

Subjects: Classical Analysis and ODEs (math.CA)

[2224] arXiv:1804.08518 [pdf, other]

Title: The Bezout equation on the right half plane in a Wiener space setting

G.J. Groenewald, S. ter Horst, M.A. Kaashoek

Comments: 15 pages

Journal-ref: Operator Theory: Advances and Applications 259 (2017), 395-411

Subjects: Functional Analysis (math.FA)

[2225] arXiv:1804.08520 [pdf, other]

Title: The twofold Ellis-Gohberg inverse problem in an abstract setting and applications

S. ter Horst, M.A. Kaashoek, F. van Schagen

Comments: 52 pages

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

Subjects: Functional Analysis (math.FA)

[2226] arXiv:1804.08523 [pdf, html, other]

Title: $\leq_{SP}$ Can Have Infinitely Many Classes

Saharon Shelah, Danielle Ulrich

Comments: 20 pages

Subjects: Logic (math.LO)

[2227] arXiv:1804.08524 [pdf, other]

Title: On the Capacity of the Peak Power Constrained Vector Gaussian Channel: An Estimation Theoretic Perspective

Alex Dytso, Mert Al, H. Vincent Poor, Shlomo Shamai

Comments: Short version was accepted to ITW 2018. Additions to this version: 2 tables, 2 figures and 2 new sections

Subjects: Information Theory (cs.IT)

[2228] arXiv:1804.08537 [pdf, other]

Title: Maximal operators associated with bilinear multipliers of limited decay

Loukas Grafakos, Danqing He, Petr Honzík

Comments: arXiv admin note: text overlap with arXiv:1607.03527

Subjects: Classical Analysis and ODEs (math.CA)

[2229] arXiv:1804.08542 [pdf, other]

Title: From the master equation to mean field game limit theory: A central limit theorem

Francois Delarue, Daniel Lacker, Kavita Ramanan

Subjects: Probability (math.PR)

[2230] arXiv:1804.08543 [pdf, other]

Title: Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases

Miguel Castillo-Celeita, Erik Díaz-Bautista, David J. Fernández C

Comments: 27 pages, 20 figures

Journal-ref: Phys. Scr. 94 (2019) 045203

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[2231] arXiv:1804.08544 [pdf, other]

Title: A Conditional Gradient Framework for Composite Convex Minimization with Applications to Semidefinite Programming

Alp Yurtsever, Olivier Fercoq, Francesco Locatello, Volkan Cevher

Comments: Appears in Proceedings of the 35th International Conference on Machine Learning (ICML 2018)

Subjects: Optimization and Control (math.OC)

[2232] arXiv:1804.08550 [pdf, other]

Title: From the master equation to mean field game limit theory: Large deviations and concentration of measure

Francois Delarue, Daniel Lacker, Kavita Ramanan

Subjects: Probability (math.PR)

[2233] arXiv:1804.08553 [pdf, other]

Title: On the circular correlation coefficients for bivariate von Mises distributions on a torus

Saptarshi Chakraborty, Samuel W.K. Wong

Comments: 29 pages, 3 figures, 5 tables

Subjects: Statistics Theory (math.ST)

[2234] arXiv:1804.08556 [pdf, other]

Title: Furstenberg systems of bounded multiplicative functions and applications

Nikos Frantzikinakis, Bernard Host

Comments: 20 pages. A few typos corrected

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[2235] arXiv:1804.08561 [pdf, other]

Title: The Runge Example for Interpolation and Wilkinson's Examples for Rootfinding

Robert M. Corless, Leili Rafiee Sevyeri

Subjects: Numerical Analysis (math.NA)

[2236] arXiv:1804.08563 [pdf, other]

Title: A Theory of Transfers: Duality and convolution

Malcolm Bowles, Nassif Ghoussoub

Comments: 41 pages, Updated version - if any - can be downloaded at this http URL

Subjects: Analysis of PDEs (math.AP)

[2237] arXiv:1804.08567 [pdf, other]

Title: Gromov-Hausdorff limits of K\"ahler manifolds with Ricci curvature bounded below

Gang Liu, Gábor Székelyhidi

Comments: Revised version

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

[2238] arXiv:1804.08571 [pdf, other]

Title: Solving generalized Abel's integral equations of the first and second kinds via Taylor-collocation method

Eisa Zarei, Samad Noeiaghdam

Subjects: Numerical Analysis (math.NA)

[2239] arXiv:1804.08573 [pdf, other]

Title: Bernoulli free boundary problem for the infinity Laplacian

Graziano Crasta, Ilaria Fragalà

Comments: 24 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[2240] arXiv:1804.08575 [pdf, other]

Title: A note on continuous-stage Runge-Kutta methods

Wensheng Tang

Subjects: Numerical Analysis (math.NA)

[2241] arXiv:1804.08582 [pdf, other]

Title: Perron-Frobenius Theorem for Rectangular Tensors and Directed Hypergraphs

Linyuan Lu, Arthur L.B. Yang, James J.Y. Zhao

Comments: 1. One of the main results "Theorem 3.2" has already been proved under a more general setting by Antoine Gautier and Francesco Tudisco in the paper arXiv:1801.04215. 2. Example 2.1 contains an error; the strong eigenvalue-eigenvectors triple actually exists

Subjects: Combinatorics (math.CO)

[2242] arXiv:1804.08585 [pdf, other]

Title: On the local cartesian closure of exact completions

Jacopo Emmenegger

Comments: v1: 15 pages. v3: 21 pages, results are unchanged but the presentation has been completely revised. Accepted on J. Pure Appl. Algebra. v4: 20 pages, final journal version

Journal-ref: J. Pure Appl. Algebra 224 (2020)

Subjects: Category Theory (math.CT)

[2243] arXiv:1804.08586 [pdf, other]

Title: On group rings: a translation of "Sur les anneaux de groupes" by Guy Renault

Guy Renault, Ryan C. Schwiebert

Comments: 5 pages, 1 figure, translation from the French original Renault, Guy. "Sur les anneaux de groupes." CR Acad. Sci. Paris Sér. AB 273 (1971): A84-A87

Journal-ref: original: CR Acad. Sci. Paris S\'er. AB 273 (1971): A84-A87

Subjects: Rings and Algebras (math.RA)

[2244] arXiv:1804.08587 [pdf, other]

Title: The random normal matrix model: insertion of a point charge

Yacin Ameur, Nam-Gyu Kang, Seong-Mi Seo

Comments: In this version, we have expanded the range of possible singularities, so that we in particular include the full, two-parametric family of Mittag-Leffler fields. Potential Anal (2021)

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV); Probability (math.PR)

[2245] arXiv:1804.08592 [pdf, other]

Title: Stationary-Complete Spacetimes with non-standard splittings and pre-Randers metrics

Jonatan Herrera, Miguel Ángel Javaloyes

Comments: 26 pages, v2: Section 5.2 rewritten, comments are welcome

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[2246] arXiv:1804.08599 [pdf, other]

Title: On capacities of the two-user union channel with complete feedback

Zilin Jiang, Nikita Polyanskii, Ilya Vorobyev

Comments: 16 pages, 1 figure, 1 table, accepted to IEEE Trans. Inf. Theory, corrections suggested by the referees have been incorporated

Journal-ref: IEEE Transactions on Information Theory, vol. 65, no. 5, pp. 2774-2781, May 2019

Subjects: Information Theory (cs.IT)

[2247] arXiv:1804.08604 [pdf, other]

Title: The discrete twofold Ellis-Gohberg inverse problem

S. ter Horst, M.A. Kaashoek, F. van Schagen

Comments: 15 pages

Journal-ref: Journal of Mathematical Analysis and Applications 452 (2017), 846-870

Subjects: Functional Analysis (math.FA)

[2248] arXiv:1804.08609 [pdf, other]

Title: A data-driven framework for sparsity-enhanced surrogates with arbitrary mutually dependent randomness

Huan Lei, Jing Li, Peiyuan Gao, Panos Stinis, Nathan Baker

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

[2249] arXiv:1804.08612 [pdf, other]

Title: A symmetric formula for hypergeometric series

Chuanan Wei

Subjects: Combinatorics (math.CO)

[2250] arXiv:1804.08648 [pdf, other]

Title: Structure preserving approximation of dissipative evolution problems

Herbert Egger

Subjects: Numerical Analysis (math.NA)