Multiple orthogonal polynomial ensembles

By Arno B. J. Kuijlaars. 2009

95 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/425a025322716c6381e96683a3a3cdb97bb8e35a

How researchers see this paper

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In Applied Mathematics

1. Guillermo López Lagomasino
2. Ulises Fidalgo Prieto

In Discrete Mathematics and Combinatorics

1. Guillermo López Lagomasino
2. Ulises Fidalgo Prieto

In Statistics and Probability

1. Guillermo López Lagomasino
2. Ulises Fidalgo Prieto

Citations in the corpus

• Nikishin Systems Are Perfect (2010, background): “More recently, mixed type approximation has appeared in random matrix and nonintersecting Brownian motion theories (see, for example, [7, 14, 34], and [35]).”