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.
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页码：270 / 281
页数：12
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