CMV matrices in random matrix theory and integrable systems: a survey

Details CMV matrices in random matrix theory and integrable systems: a survey CMV matrices in random matrix theory and integrable systems: a survey

2005-10-12

arxiv.org/abs/math-ph/0510045v1

Physics

Mathematical Physics

Based on a talk given at the Short Program on Random Matrices, Random Processes and Integrable Systems, CRM, Universite de Mon

Scientific paper

10.1088/0305-4470/39/28/S04

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.

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