Mathematics

Authors and titles for April 2018

[2101] arXiv:1804.08116 [pdf, other]

Title: A constrained risk inequality for general losses

John C. Duchi, Feng Ruan

Comments: 10 pages. This version (v2) adds applications to efficient nonparametric estimation and some pedagogical comments

Subjects: Statistics Theory (math.ST)

[2102] arXiv:1804.08119 [pdf, other]

Title: Binomial transforms of the modified k-Fibonacci-like sequence

Youngwoo Kwon

Comments: 14 pages

Subjects: Number Theory (math.NT)

[2103] arXiv:1804.08120 [pdf, other]

Title: Quantum Linear Galois Algebras

V. Futorny, J. Schwarz

Subjects: Representation Theory (math.RT)

[2104] arXiv:1804.08127 [pdf, other]

Title: Representation of conformal maps by rational functions

Abinand Gopal, Lloyd N. Trefethen

Subjects: Numerical Analysis (math.NA)

[2105] arXiv:1804.08129 [pdf, other]

Title: Defect of an octahedron in a rational lattice

Mikhail Fadin

Subjects: Number Theory (math.NT); Metric Geometry (math.MG)

[2106] arXiv:1804.08136 [pdf, other]

Title: PBZ*-Lattices: Structure Theory and Subvarieties

Roberto Giuntini, Claudia Mureşan, Francesco Paoli

Comments: 29 pages

Subjects: Logic (math.LO); Rings and Algebras (math.RA)

[2107] arXiv:1804.08140 [pdf, other]

Title: Spectral properties of Kac-Murdock-Szeg\"o matrices with a complex parameter

George Fikioris

Comments: 1 figure

Subjects: Numerical Analysis (math.NA)

[2108] arXiv:1804.08143 [pdf, other]

Title: Maximum-Entropy Priors with Derived Parameters in a Specified Distribution

Will Handley, Marius Millea

Comments: 7 pages, 2 figures, Published in Entropy

Subjects: Statistics Theory (math.ST); Cosmology and Nongalactic Astrophysics (astro-ph.CO); Instrumentation and Methods for Astrophysics (astro-ph.IM); High Energy Physics - Phenomenology (hep-ph)

[2109] arXiv:1804.08147 [pdf, other]

Title: The connected metric dimension at a vertex of a graph

Linda Eroh, Cong X. Kang, Eunjeong Yi

Comments: 22 pages, 12 figures

Journal-ref: Theoret. Comput. Sci., Vol. 806 (2020) pp.53-69

Subjects: Combinatorics (math.CO)

[2110] arXiv:1804.08152 [pdf, other]

Title: Torsion-Free Abelian Groups are Consistently $a \Delta^1_2$-complete

Saharon Shelah, Douglas Ulrich

Comments: 21 pages

Subjects: Logic (math.LO)

[2111] arXiv:1804.08156 [pdf, other]

Title: Wigner's type theorem in terms of linear operators which send projections of a fixed rank to projections of other fixed rank

Mark Pankov

Subjects: Functional Analysis (math.FA); Mathematical Physics (math-ph)

[2112] arXiv:1804.08158 [pdf, other]

Title: An observation on the module structure of block algebras

Matthew Gelvin

Comments: 8 pages

Subjects: Group Theory (math.GR); Representation Theory (math.RT)

[2113] arXiv:1804.08160 [pdf, other]

Title: Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation

M.E. Alonso, F.J. Castro-Jiménez, H. Hauser, C. Koutschan

Comments: To appear in Bulletin of the London Mathematical Society

Subjects: Algebraic Geometry (math.AG)

[2114] arXiv:1804.08164 [pdf, other]

Title: Variations on a Theme of Schubert Calculus

Maria Gillespie

Comments: Version 2 has a typo correction

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

[2115] arXiv:1804.08165 [pdf, other]

Title: Hypersurfaces quasi-invariant by codimension one foliations

Jorge Vitorio Pereira, Calum Spicer

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

[2116] arXiv:1804.08169 [pdf, other]

Title: Carter Constant and Superintegrability

Payel Mukhopadhyay, Rajesh Kumble Nayak

Comments: 10 Pages, International Journal Of Modern Physics D (2018)

Subjects: Mathematical Physics (math-ph)

[2117] arXiv:1804.08174 [pdf, other]

Title: Stochastic Dynamics II: Finite Random Dynamical Systems, Linear Representation, and Entropy Production

Felix X.-F. Ye, Hong Qian

Journal-ref: Discrete and Continuous Dynamical Systems B 24 (2019), pp. 4341-4366

Subjects: Dynamical Systems (math.DS); Probability (math.PR); Data Analysis, Statistics and Probability (physics.data-an)

[2118] arXiv:1804.08175 [pdf, other]

Title: Bifurcations from families of periodic solutions in piecewise differential systems

Jaume Llibre, Douglas D. Novaes, Camila A.B. Rodrigues

Journal-ref: Physica D: Nonlinear Phenomena, Volume 404, March 2020, 132342

Subjects: Classical Analysis and ODEs (math.CA)

[2119] arXiv:1804.08179 [pdf, other]

Title: Limit cycles for two classes of control piecewise linear differential systems

J. Llibre, R.D.S. Oliveira, C.A.B. Rodrigues

Subjects: Classical Analysis and ODEs (math.CA)

[2120] arXiv:1804.08182 [pdf, other]

Title: Mittag-Leffler functors of modules

C. Sancho, F. Sancho, P. Sancho

Comments: 23 pages

Subjects: Commutative Algebra (math.AC)

[2121] arXiv:1804.08188 [pdf, other]

Title: Equivariant heat and Schr\"odinger flows from Euclidean space to complex projective space

James Fennell

Subjects: Analysis of PDEs (math.AP)

[2122] arXiv:1804.08189 [pdf, other]

Title: The Z_2 Orbifold of the Universal Affine Vertex Algebra

Masoumah Al-Ali

Subjects: Representation Theory (math.RT)

[2123] arXiv:1804.08190 [pdf, other]

Title: Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schr\"odinger equation with harmonic trapping

James Fennell

Subjects: Analysis of PDEs (math.AP)

[2124] arXiv:1804.08191 [pdf, other]

Title: Embedding Hypertrees into Steiner Triple Systems

Bradley Elliott, Vojtěch Rödl

Comments: 23 pages, 6 figures

Subjects: Combinatorics (math.CO)

[2125] arXiv:1804.08192 [pdf, other]

Title: Parabolically induced functions and equidistributed pairs

Paolo Sentinelli

Journal-ref: Bolet\'in de la Sociedad Matem\'atica Mexicana (2018)

Subjects: Combinatorics (math.CO)

[2126] arXiv:1804.08193 [pdf, other]

Title: Integral versions of input-to-state stability for dual-rate nonlinear sampled-data systems

Navid Noroozi, Seyed Hossein Mousavi, Horacio J. Marquez

Subjects: Dynamical Systems (math.DS)

[2127] arXiv:1804.08201 [pdf, other]

Title: Global uniqueness of the minimal sphere in the Atiyah-Hitchin manifold

Chung-Jun Tsai, Mu-Tao Wang

Comments: 12 pages

Subjects: Differential Geometry (math.DG)

[2128] arXiv:1804.08203 [pdf, other]

Title: Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system

Zhewen Feng, Min-Chun Hong, Yu Mei

Subjects: Analysis of PDEs (math.AP)

[2129] arXiv:1804.08210 [pdf, other]

Title: Two q-summation formulas and q-analogues of series expansions for certain constants

Bing He, Hongcun Zhai

Comments: This is a joint work with Dr. Zhai and a replacement of arXiv:1804.08210v1. All critical comments are always welcome

Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)

[2130] arXiv:1804.08211 [pdf, other]

Title: The amazing world of simplicial complexes

Oliver Knill

Comments: Notes made for preparing for the AMS special session "Discretization in Geometry" in Boston on April 22, 2018

Subjects: History and Overview (math.HO); Combinatorics (math.CO)

[2131] arXiv:1804.08212 [pdf, other]

Title: On the Banach-Mazur distance to cross-polytope

Konstantin Tikhomirov

Comments: updated history of the question and references

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[2132] arXiv:1804.08213 [pdf, other]

Title: Some New Constructions of Quantum MDS Codes

Weijun Fang, Fang-Wei Fu

Comments: Accepted for publication in IEEE Transactions on Information Theory

Journal-ref: IEEE Transactions on Information Theory, vol. 65, no. 12, pp. 7840-7847, Dec. 2019

Subjects: Information Theory (cs.IT)

[2133] arXiv:1804.08214 [pdf, other]

Title: Poisson statistics at the edge of Gaussian beta-ensembles at high temperature

Cambyse Pakzad

Comments: 30 pages, 1 figure

Subjects: Probability (math.PR)

[2134] arXiv:1804.08215 [pdf, other]

Title: Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity

Zongming Guo, Long Wei, Feng Zhou

Subjects: Analysis of PDEs (math.AP)

[2135] arXiv:1804.08216 [pdf, other]

Title: The Minkowski formula and the quasi-local mass

Po-Ning Chen, Mu-Tao Wang, Shing-Tung Yau

Comments: 15 pages

Subjects: Differential Geometry (math.DG)

[2136] arXiv:1804.08221 [pdf, other]

Title: Prime orbit theorems for expanding Thurston maps

Zhiqiang Li, Tianyi Zheng

Comments: 171 pages, 12 figures

Subjects: Dynamical Systems (math.DS)

[2137] arXiv:1804.08223 [pdf, other]

Title: A numerical mode matching method for wave scattering in a layered medium with a stratified inhomogeneity

Wangtao Lu, Ya Yan Lu, Dawei Song

Comments: 26 pages, 15 figures

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

[2138] arXiv:1804.08232 [pdf, other]

Title: Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces

Gareth O. Jones, Margaret E. M. Thomas

Comments: 32 pages

Subjects: Logic (math.LO); Number Theory (math.NT)

[2139] arXiv:1804.08235 [pdf, other]

Title: A short note on the divisibility of class numbers of real quadratic fields

Jaitra Chattopadhyay

Comments: To appear in Journal of The Ramanujan Mathematical Society

Subjects: Number Theory (math.NT)

[2140] arXiv:1804.08238 [pdf, other]

Title: Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows

Aseel Farhat, Zoran Grujic

Comments: final version; to appear in JNLS

Subjects: Analysis of PDEs (math.AP)

[2141] arXiv:1804.08239 [pdf, other]

Title: On feebly compact semitopological semilattice $\exp_n\lambda$

Oleg Gutik, Oleksandra Sobol

Comments: 6 pages and diagram

Journal-ref: Mat. Metody Fiz.-Mekh. Polya 61 (2018), no. 3, 16-23

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

[2142] arXiv:1804.08241 [pdf, other]

Title: On p-parts of Brauer character degrees and p-regular conjugacy class sizes

Christine Bessenrodt, Yong Yang

Subjects: Group Theory (math.GR)

[2143] arXiv:1804.08242 [pdf, other]

Title: Simple current extensions of tensor products of vertex operator algebras

Hiromichi Yamada, Hiroshi Yamauchi

Comments: 20 pages; an assumption is removed; some materials are deleted

Subjects: Representation Theory (math.RT)

[2144] arXiv:1804.08248 [pdf, other]

Title: Simultaneous approximation by Bernstein polynomials with integer coefficients

Borislav R. Draganov

Journal-ref: J. Approx. Theory 237(2019), 1-16

Subjects: Classical Analysis and ODEs (math.CA)

[2145] arXiv:1804.08252 [pdf, other]

Title: Constructing Permutation Arrays using Partition and Extension

Sergey Bereg, Luis Gerardo Mojica, Linda Morales, Hal Sudborough

Subjects: Information Theory (cs.IT)

[2146] arXiv:1804.08258 [pdf, other]

Title: On the Relationship Between Ehrhart Unimodality and Ehrhart Positivity

Fu Liu, Liam Solus

Comments: 15 pages, 2 figures

Subjects: Combinatorics (math.CO)

[2147] arXiv:1804.08259 [pdf, other]

Title: Recovered finite element methods on polygonal and polyhedral meshes

Zhaonan Dong, Emmanuil H. Georgoulis, Tristan Pryer

Comments: 25 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[2148] arXiv:1804.08263 [pdf, other]

Title: Spectral characterization of the complete graph removing a path of small length

Lihuan Mao, Sebastian M. Cioabă, Wei Wang

Subjects: Combinatorics (math.CO)

[2149] arXiv:1804.08265 [pdf, other]

Title: Deterministic and Randomized Diffusion based Iterative Generalized Hard Thresholding (DiFIGHT) for Distributed Sparse Signal Recovery

Samrat Mukhopadhyay, Mrityunjoy Chakraborty

Comments: 11 pages, 4 figures, Updated some analysis, Added a few more explanations

Subjects: Information Theory (cs.IT); Distributed, Parallel, and Cluster Computing (cs.DC); Numerical Analysis (math.NA)

[2150] arXiv:1804.08271 [pdf, other]

Title: NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces

Giuseppe Pitton, Luca Heltai

Comments: 33 pages, 15 figures, 3 tables, to appear on "Computer Methods in Applied Mechanics and Engineering"

Subjects: Numerical Analysis (math.NA)