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Title: Multiple orthogonal polynomial ensembles
Authors: Kuijlaars, Arno #
Issue Date: 2010
Publisher: American Mathematical Society
Host Document: Contemporary Mathematics vol:507 pages:155-176
Conference: International Workshop on Orthogonal Polynomials and Approximation Theory edition:8 location:Leganes, Spain date:8-12 September 2008
Abstract: Multiple orthogonal polynomials are traditionally studied because of their connections to number theory and approximation theory. In recent years they were found to be connected to certain models in random matrix theory. In this paper we introduce the notion of a multiple orthogonal polynomial ensemble (MOP ensemble) and derive some of their basic properties. It is shown that Angelesco and Nikishin systems give rise to MOP ensembles and that the equilibrium problems that are associated with these systems have a
natural interpretation in the context of MOP ensembles.
ISBN: 978-0-8218-4803-6
ISSN: 0271-4132
Publication status: published
KU Leuven publication type: IC
Appears in Collections:Analysis Section
# (joint) last author

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