Orthogonal polynomials and fluctuations of random matrices

Timothy Kusalik; James A Mingo; Roland Speicher

doi:10.1515/CRELLE.2007.018

Published by De Gruyter June 1, 2007

Orthogonal polynomials and fluctuations of random matrices

Timothy Kusalik , James A Mingo and Roland Speicher

From the journal Journal für die reine und angewandte Mathematik

https://doi.org/10.1515/CRELLE.2007.018

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Abstract

In this paper we establish a connection between the fluctuations of Wishart random matrices, shifted Chebyshev polynomials, and planar diagrams whose linear spans form a basis for the irreducible representations of the annular Temperly-Lieb algebra.

Received: 2005-03-09

Revised: 2005-12-12

Published Online: 2007-06-01

Published in Print: 2007-03-27

Orthogonal polynomials and fluctuations of random matrices

Abstract

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