Mathematics

Authors and titles for March 2018

[1101] arXiv:1803.04049 [pdf, other]

Title: PCA by Determinant Optimization has no Spurious Local Optima

Raphael A. Hauser, Armin Eftekhari, Heinrich F. Matzinger

Subjects: Optimization and Control (math.OC)

[1102] arXiv:1803.04050 [pdf, other]

Title: On terminal Fano 3-folds with 2-torus action, part II

Michele Nicolussi

Subjects: Algebraic Geometry (math.AG)

[1103] arXiv:1803.04052 [pdf, other]

Title: On an alternative sequence comparison statistic of Steele

Ümit Işlak, Alperen Y. Özdemir

Comments: 17 pages

Journal-ref: Discrete Mathematics & Theoretical Computer Science, vol. 22 no. 1, Combinatorics (July 10, 2020) dmtcs:5745

Subjects: Probability (math.PR)

[1104] arXiv:1803.04058 [pdf, other]

Title: Cache-Assisted Broadcast-Relay Wireless Networks: A Delivery-Time Cache-Memory Tradeoff

Jaber Kakar, Alaa Alameer, Anas Chaaban, Aydin Sezgin, Arogyaswami Paulraj

Subjects: Information Theory (cs.IT)

[1105] arXiv:1803.04059 [pdf, other]

Title: Delivery Time Minimization in Cache-Assisted Broadcast-Relay Wireless Networks with Imperfect CSI

Jaber Kakar, Anas Chaaban, Aydin Sezgin, Arogyaswami Paulraj

Comments: arXiv admin note: text overlap with arXiv:1803.04058

Subjects: Information Theory (cs.IT)

[1106] arXiv:1803.04060 [pdf, other]

Title: Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation

Scott Schmieding

Subjects: Dynamical Systems (math.DS)

[1107] arXiv:1803.04063 [pdf, other]

Title: Resolvent degree, Hilbert's 13th Problem and geometry

Benson Farb, Jesse Wolfson

Comments: 65 pages, 2 figures. Minor revisions and corrections

Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Group Theory (math.GR); Geometric Topology (math.GT); Number Theory (math.NT)

[1108] arXiv:1803.04064 [pdf, other]

Title: Class number formula for dihedral extensions

Luca Caputo, Filippo A. E. Nuccio

Comments: This is the version to appear in the Glasgow Mathematical Journal. All references and theorem numbering coincide with that of the published version

Journal-ref: Glasgow Math. J. 62 (2020) 323-353

Subjects: Number Theory (math.NT)

[1109] arXiv:1803.04071 [pdf, other]

Title: On a Class of Permutation Trinomials in Characteristic 2

Xiang-dong Hou

Subjects: Number Theory (math.NT)

[1110] arXiv:1803.04076 [pdf, other]

Title: Blowup criterion for Navier-Stokes equation in critical Besov space with spatial dimensions $d \geq 4$

Kuijie Li, Baoxiang Wang

Comments: 34Pages

Subjects: Analysis of PDEs (math.AP)

[1111] arXiv:1803.04081 [pdf, other]

Title: Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals

Thomas Polstra, Pham Hung Quy

Comments: Final version, to appear in Journal of Algebra

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[1112] arXiv:1803.04082 [pdf, other]

Title: Real entropy rigidity under quasi-conformal deformations

Khashayar Filom

Comments: Minor revisions. New references [Bro76], [HQ15] and [Mis81] are added. To appear in Conformal Geometry and Dynamics. The published version is shorter and does not involve the appendices. 59 pages and 3 figures

Subjects: Dynamical Systems (math.DS)

[1113] arXiv:1803.04090 [pdf, other]

Title: The Rigidity and Gap Theorem for Liouville's Equation

Weiming Shen

Subjects: Differential Geometry (math.DG)

[1114] arXiv:1803.04093 [pdf, other]

Title: Nonlocal scalar field equations: qualitative properties, asymptotic profiles and local uniqueness of solutions

Mousomi Bhakta, Debangana Mukherjee

Comments: 49 pages

Journal-ref: Journal of Differential Equations, 2019

Subjects: Analysis of PDEs (math.AP)

[1115] arXiv:1803.04095 [pdf, other]

Title: Action dimensions of some simple complexes of groups

Michael W. Davis, Giang Le, Kevin Schreve

Comments: Typos corrected, some minor restructuring of subsections

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

[1116] arXiv:1803.04097 [pdf, other]

Title: Structure-preserving $H^2$ optimal model reduction based on Riemannian trust-region method

Kazuhiro Sato, Hiroyuki Sato

Journal-ref: IEEE Transactions on Automatic Control (Volume: 63, Issue: 2, Feb. 2018)

Subjects: Optimization and Control (math.OC)

[1117] arXiv:1803.04107 [pdf, other]

Title: Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments

Tahir Bachar Issa, Wenxian Shen

Comments: arXiv admin note: text overlap with arXiv:1709.10040

Subjects: Dynamical Systems (math.DS)

[1118] arXiv:1803.04111 [pdf, other]

Title: Commuting probabilities of $n$-centralizer finite rings

Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath

Comments: 9 pages

Subjects: Rings and Algebras (math.RA)

[1119] arXiv:1803.04117 [pdf, other]

Title: The Limit of Large Mass Monopoles

Daniel Fadel, Goncalo Oliveira

Comments: v4: accepted for publication in the Proceedings of the London Mathematical Society. Fully revised, exposition improved; reworked Theorems 4.1 and 5.1

Subjects: Differential Geometry (math.DG)

[1120] arXiv:1803.04121 [pdf, other]

Title: The Singular Locus of an Almost Distance Function

Minoru Tanaka

Comments: 27 pages, no figures

Subjects: Differential Geometry (math.DG)

[1121] arXiv:1803.04124 [pdf, other]

Title: Crossed modules of monoids II. Relative crossed modules

Gabriella Böhm

Comments: 46 pages, second item of a three parts series

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

[1122] arXiv:1803.04128 [pdf, other]

Title: A Unified Framework for Oscillatory Integral Transform: When to use NUFFT or Butterfly Factorization?

Haizhao Yang

Subjects: Numerical Analysis (math.NA)

[1123] arXiv:1803.04136 [pdf, other]

Title: Malliavin Calculus for Non-colliding Particle Systems

Nobuaki Naganuma, Dai Taguchi

Comments: Section 1, Lemma 3.7 and Section 4 are corrected mainly

Subjects: Probability (math.PR)

[1124] arXiv:1803.04144 [pdf, other]

Title: Solving Markov decision processes for network-level post-hazard recovery via simulation optimization and rollout

Yugandhar Sarkale, Saeed Nozhati, Edwin K.P. Chong, Bruce Ellingwood, Hussam Mahmoud

Comments: Submitted to Simulation Optimization for Cyber Physical Energy Systems (Special Session) in 14th IEEE International Conference on Automation Science and Engineering

Journal-ref: 2018 IEEE 14th Int. Conf. Autom. Sci. and Eng. (CASE) 906 - 912

Subjects: Optimization and Control (math.OC); Computational Engineering, Finance, and Science (cs.CE); Systems and Control (eess.SY)

[1125] arXiv:1803.04145 [pdf, other]

Title: Nonlinear stability at the Eckhaus boundary

Julien Guillod, Guido Schneider, Peter Wittwer, Dominik Zimmermann

Comments: 25 pages, 1 figure

Journal-ref: SIAM J. Math. Anal., 50, 4699-4720, 2018

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[1126] arXiv:1803.04146 [pdf, other]

Title: The space of cubic surfaces equipped with a line

Ronno Das

Comments: 21 pages, 4 figures; added (cross-)references

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

[1127] arXiv:1803.04148 [pdf, other]

Title: Gradient estimates for the perfect conductivity problem in anisotropic media

Giulio Ciraolo, Angela Sciammetta

Subjects: Analysis of PDEs (math.AP)

[1128] arXiv:1803.04151 [pdf, other]

Title: Mittag-Leffler Euler integrator for a stochastic fractional order equation with additive noise

Mihály Kovács, Stig Larsson, Fardin Saedpanah

Comments: 20 pages, 5 figures

Journal-ref: SIAM J. Numer. Anal. 58 (2020), 66-85

Subjects: Numerical Analysis (math.NA)

[1129] arXiv:1803.04153 [pdf, other]

Title: Local Limit Theorems for Poisson's Binomial in the Case of Infinite Expectation

Italo Simonelli, Lucia D. Simonelli

Subjects: Probability (math.PR)

[1130] arXiv:1803.04155 [pdf, other]

Title: Dimension-independent statistics of $Gl_n(F_q)$ via character polynomials

Nir Gadish

Comments: Accepted version, 5 pages

Journal-ref: Proc. of the AMS (2019)

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

[1131] arXiv:1803.04157 [pdf, other]

Title: Scaled penalization of Brownian motion with drift and the Brownian ascent

Hugo Panzo

Comments: 32 pages; made additions to Section 6

Journal-ref: S\'eminaire de Probabilit\'es L (2019) 257-300

Subjects: Probability (math.PR)

[1132] arXiv:1803.04163 [pdf, other]

Title: On Overcoming the Impact of Doppler Spectrum in Millimeter-Wave V2I Communications

Javier Lorca, Mythri Hunukumbure, Yue Wang

Comments: 6 pages, 5 Figures, published in IEEE Globecom 2017 conference

Subjects: Information Theory (cs.IT)

[1133] arXiv:1803.04168 [pdf, other]

Title: Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance

Liangdong Lu, Wenping Ma, Ruihu Li, Yuena Ma, Yang Liu, Hao Cao

Subjects: Information Theory (cs.IT)

[1134] arXiv:1803.04170 [pdf, other]

Title: Holonomic Gradient Method for Two Way Contingency Tables

Yoshihito Tachibana, Yoshiaki Goto, Tamio Koyama, Nobuki Takayama

Comments: 30 papges, 4 figures

Journal-ref: Alg. Stat. 11 (2020) 125-153

Subjects: Classical Analysis and ODEs (math.CA)

[1135] arXiv:1803.04174 [pdf, other]

Title: Positivity properties of the matrix $\left[(i+j)^{i+j}\right]$

Rajendra Bhatia, Tanvi Jain

Journal-ref: Archiv der Mathematik, 103 (2014) 279-283

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

[1136] arXiv:1803.04181 [pdf, other]

Title: A note on Liouville type equations on graphs

Huabin Ge, Bobo Hua, Wenfeng Jiang

Comments: 6 pages,accepted and to be published in Proceedings of the American Mathematical Society

Subjects: Analysis of PDEs (math.AP)

[1137] arXiv:1803.04182 [pdf, other]

Title: $H^2$-scattering for systems of weakly coupled fourth-order NLS equations in low space dimensions

Mirko Tarulli

Comments: Corrected typos, results unchanged

Subjects: Analysis of PDEs (math.AP)

[1138] arXiv:1803.04184 [pdf, other]

Title: On the first-passage area of a L$\acute{\text{e}}$vy process

Mario Abundo, Sara Furia

Comments: 18 pages, 9 figures

Subjects: Probability (math.PR)

[1139] arXiv:1803.04195 [pdf, other]

Title: Wireless Energy Transfer to a Pair of Energy Receivers using Signal Strength Feedback

Chanaka Singhabahu, Tharaka Samarasinghe, Samith Abeywickrama, Chau Yuen

Comments: 7 pages, 2 figures, To appear in International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt), 2018

Subjects: Information Theory (cs.IT)

[1140] arXiv:1803.04199 [pdf, other]

Title: Hadamard type fuzzy inequality for (s,m)-convex function in second sense

Deepak B. Pachpatte, Kavita U. Shinde

Subjects: Classical Analysis and ODEs (math.CA)

[1141] arXiv:1803.04201 [pdf, other]

Title: Bounds for a spectral exponential sum

Olga Balkanova, Dmitry Frolenkov

Comments: final version, to appear in J. Lond. Math. Soc

Subjects: Number Theory (math.NT); Spectral Theory (math.SP)

[1142] arXiv:1803.04202 [pdf, other]

Title: BFC-theorems for higher commutator subgroups

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

Subjects: Group Theory (math.GR)

[1143] arXiv:1803.04206 [pdf, other]

Title: Sums of Kloosterman sums in the prime geodesic theorem

Olga Balkanova, Dmitry Frolenkov

Comments: final version; to appear in Q. J. Math

Subjects: Number Theory (math.NT); Spectral Theory (math.SP)

[1144] arXiv:1803.04207 [pdf, other]

Title: A.s. convergence for infinite colour P\'olya urns associated with random walks

Svante Janson

Comments: 30 pages

Subjects: Probability (math.PR)

[1145] arXiv:1803.04208 [pdf, other]

Title: Direct sampling method for retrieving small perfectly conducting cracks

Won-Kwang Park

Journal-ref: J. Comput. Phys., 373, 648-661, 2018

Subjects: Numerical Analysis (math.NA)

[1146] arXiv:1803.04210 [pdf, other]

Title: The degeneration formula for stable log maps

Bumsig Kim, Hyenho Lho, Helge Ruddat

Comments: 42 pages, 1 figure, final version, to appear in Manuscripta Math

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

[1147] arXiv:1803.04212 [pdf, html, other]

Title: On some Hamiltonian properties of the isomonodromic tau functions

A. R. Its, A. Prokhorov

Comments: Corrected typos and mistakes in section 3.7

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[1148] arXiv:1803.04214 [pdf, other]

Title: Schr\"odinger equations with singular potentials: linear and nonlinear boundary value problems

Moshe Marcus, Phuoc-Tai Nguyen

Comments: 33 pages

Subjects: Analysis of PDEs (math.AP)

[1149] arXiv:1803.04216 [pdf, other]

Title: Hybrid interconnection of iterative bidding and power network dynamics for frequency regulation and optimal dispatch

Tjerk Stegink, Ashish Cherukuri, Claudio De Persis, Arjan van der Schaft, Jorge Cortés

Comments: 12 pages, 6 figures

Subjects: Optimization and Control (math.OC)

[1150] arXiv:1803.04218 [pdf, other]

Title: Compressed Sensing for Analog Signals

Bernard G. Bodmann, Axel Flinth, Gitta Kutyniok

Subjects: Functional Analysis (math.FA)