Published January 2007
| public
Journal Article
Uniform Szegő cocycles over strictly ergodic subshifts
- Creators
- Damanik, David
- Lenz, Daniel
Abstract
We consider ergodic families of Verblunsky coefficients generated by minimal aperiodic subshifts. Simon conjectured that the associated probability measures on the unit circle have essential support of zero Lebesgue measure. We prove this statement for a large class of subshifts, namely those satisfying a condition originally introduced by Boshernitzan. This is accomplished by relating the essential support to uniform convergence properties of the corresponding Szegő cocycles.
Additional Information
© 2006 Elsevier. Received 17 February 2006; revised 10 May 2006; accepted 16 May 2006. Communicated by Leonid Golinskii. Available online 23 June 2006. Dedicated to Barry Simon on the occasion of his 60th birthday. D. D. was supported in part by NSF grant DMS–0500910.Additional details
- Eprint ID
- 19859
- DOI
- 10.1016/j.jat.2006.05.004
- Resolver ID
- CaltechAUTHORS:20100910-085102546
- DMS–0500910
- NSF
- Created
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2010-09-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field