Purely singular continuous spectrum for CMV operators generated by subshifts
arXiv:1310.8132 · doi:10.1007/s10955-014-0974-2
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.
14 pages, several clarifications to address concerns raised in referee report. To appear in Journal of Statistical Physics