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Spectral Properties of Random and Deterministic CMVMatrices

Published online by Cambridge University Press:  17 July 2014

M. Stoiciu
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Abstract

The CMV matrices are unitary analogues of the discrete one-dimensional Schrödingeroperators. We review spectral properties of a few classes of CMV matrices and describefamilies of random and deterministic CMV matrices which exhibit a transition in thedistribution of their eigenvalues.

Keywords

spectral theorydistribution of eigenvaluesCMV matrices
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 5: Spectral problems , 2014 , pp. 270 - 281
Copyright
© EDP Sciences, 2014

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