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arxiv: math-ph/0510045 · v1 · submitted 2005-10-12 · 🧮 math-ph · math.CA· math.MP

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

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keywords matricesintegrablerandomsurveysystemstheoryanalogiesclass
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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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