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Jacobi Polynomial Moments and Products of Random Matrices by Gawronski, Wolfgang; Neuschel, Thorsten; Stivigny, Dries is a scholarly article available to read on EtoBox.

What is Jacobi Polynomial Moments and Products of Random Matrices about?

Motivated by recent results in random matrix theory we will study the distributions arising from products of complex Gaussian random matrices and truncations of Haar distributed unitary matrices. We introduce an appropriately general class of measures and characterize them by their moments essentially given by specific Jacobi polynomials with varying parameters. Solving this moment problem requires a study of the Riemann surfaces associated to a class of algebraic equations. The connection to random matrix theory is then established using methods from free probability.

Author

Gawronski, Wolfgang; Neuschel, Thorsten; Stivigny, Dries

Published

2014

Language

EN