Purely singular continuous spectrum for CMV operators generated by subshifts
Spectral Theory
2015-06-17 v3 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We prove uniform absence of point spectrum for CMV operators corresponding to the period doubling subshift. We also prove almost sure absence of point spectrum for CMV operators corresponding to a class of Sturmian subshifts. Lastly, we prove almost sure absence of point spectrum for CMV operators corresponding to some subshifts generated by a coding of a rotation.
Cite
@article{arxiv.1310.8132,
title = {Purely singular continuous spectrum for CMV operators generated by subshifts},
author = {Darren C. Ong},
journal= {arXiv preprint arXiv:1310.8132},
year = {2015}
}
Comments
14 pages, several clarifications to address concerns raised in referee report. To appear in Journal of Statistical Physics