{ "id": "math-ph/0510045", "version": "v1", "published": "2005-10-12T01:18:55.000Z", "updated": "2005-10-12T01:18:55.000Z", "title": "CMV matrices in random matrix theory and integrable systems: a survey", "authors": [ "Irina Nenciu" ], "comment": "Based on a talk given at the Short Program on Random Matrices, Random Processes and Integrable Systems, CRM, Universite de Montreal, 2005", "doi": "10.1088/0305-4470/39/28/S04", "categories": [ "math-ph", "math.CA", "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.", "revisions": [ { "version": "v1", "updated": "2005-10-12T01:18:55.000Z" } ], "analyses": { "subjects": [ "15-02" ], "keywords": [ "random matrix theory", "cmv matrices", "integrable systems", "jacobi matrices", "random matrices" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }