CMV matrices in random matrix theory and integrable systems: a survey
Mathematical Physics
2009-11-11 v1 Classical Analysis and ODEs
math.MP
Abstract
We present a survey of recent results concerning a remarkable class of unitary matrices, the CMV matrices. We are particularly interested in the role they play in the theory of random matrices and integrable systems. Throughout the paper we also emphasize the analogies and connections to Jacobi matrices.
Cite
@article{arxiv.math-ph/0510045,
title = {CMV matrices in random matrix theory and integrable systems: a survey},
author = {Irina Nenciu},
journal= {arXiv preprint arXiv:math-ph/0510045},
year = {2009}
}
Comments
Based on a talk given at the Short Program on Random Matrices, Random Processes and Integrable Systems, CRM, Universite de Montreal, 2005