Title: Hermite-Pade approximations and multiple orthogonal polynomial ensembles
Authors: Aptekarev, Alexander I ×
Kuijlaars, Arno #
Issue Date: 2011
Publisher: London Mathematical Society, Turpion Ltd., and the Russian Academy of Sciences
Series Title: Russian Mathematical Surveys vol:66 issue:6 pages:1133-1199
Abstract: This paper is concerned with Hermite–Pade rational approximants of analytic functions and their connection with multiple orthogonal polynomial ensembles of random matrices. Results on the analytic theory
of such approximants are discussed, namely, convergence and the distribution
of the poles of the rational approximants, and a survey is given of
results on the distribution of the eigenvalues of the corresponding random
matrices and on various regimes of such distributions. An important notion
used to describe and to prove these kinds of results is the equilibrium of
vector potentials with interaction matrices. This notion was introduced by
A.A. Gonchar and E.A. Rakhmanov in 1981.
ISSN: 0036-0279
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

Files in This Item:

There are no files associated with this item.

Request a copy


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science