Spectral Properties of Random and Deterministic CMV Matrices

被引：1

作者：

Stoiciu, M. ^{[1
]}

机构：

[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2014年 / 9卷 / 05期

关键词：

spectral theory; distribution of eigenvalues; CMV matrices; TIGHT-BINDING MODEL; ANDERSON MODEL; ORTHOGONAL POLYNOMIALS; LARGE DISORDER; UNIT-CIRCLE; LOCALIZATION; ZEROS; DIFFUSION; DIMENSION; ABSENCE;

D O I：

10.1051/mmnp/20149518

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The CMV matrices are unitary analogues of the discrete one-dimensional Schrodinger 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.

引用

页码：270 / 281

页数：12

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