| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014
Spectral problems
|
|
|---|---|---|
| Page(s) | 270 - 281 | |
| DOI | https://doi.org/10.1051/mmnp/20149518 | |
| Published online | 17 July 2014 | |
Spectral Properties of Random and Deterministic CMV Matrices
Department of Mathematics and Statistics,
Williams College,
Williamstown, MA
01267,
USA
⋆
Corresponding author. E-mail: mstoiciu@williams.edu
The CMV matrices are unitary analogues of the discrete one-dimensional Schrödinger operators. We review spectral properties of a few classes of CMV matrices and describe families of random and deterministic CMV matrices which exhibit a transition in the distribution of their eigenvalues.
Mathematics Subject Classification: 81Q10 / 47B06 / 42C05
Key words: spectral theory / distribution of eigenvalues / CMV matrices
© EDP Sciences, 2014
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