Hermite-Padé approximations and multiple orthogonal polynomial ensembles

DOI10.1070/RM2011v066n06ABEH004771zbMath1243.41004MaRDI QIDQ5388120

Alexander I. Aptekarev, Arno B. J. Kuijlaars

Publication date: 18 April 2012

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Hermite-Padé approximantsmultiple orthogonal polynomialsChristoffel-Darboux formulatwo-matrix modelnon-intersecting pathsmatrix Riemann-Hilbert problemextremal equilibrium problems for a system of measuresweak and strong asymptoticsmatrix model with an external source

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Sample path properties (60G17) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

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