Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices
Spectral Theory
2016-12-15 v3 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We provide an elementary proof of the equivalence of various notions of uniform hyperbolicity for a class of cocycles and establish a Johnson-type theorem for extended CMV matrices, relating the spectrum to the points on the unit circle for which the associated Szeg\H{o} cocycle is not uniformly hyperbolic.
Keywords
Cite
@article{arxiv.1409.6259,
title = {Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices},
author = {David Damanik and Jake Fillman and Milivoje Lukic and William Yessen},
journal= {arXiv preprint arXiv:1409.6259},
year = {2016}
}
Comments
15 pages; based on the appendices of arXiv:1404.7065, which were removed in passing from arXiv:1404.7065v1 to arXiv:1404.7065v2, the latter being the version accepted for publication in IMRN