Purely Singular Continuous Spectrum for CMV Operators Generated by Subshifts.

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Bibliographic Details
Title: Purely Singular Continuous Spectrum for CMV Operators Generated by Subshifts.
Authors: Ong, Darren1 darren.ong@rice.edu
Source: Journal of Statistical Physics. May2014, Vol. 155 Issue 4, p763-776. 14p.
Subjects: Continuous spectrum (Atomic spectrum), Common method variance, Spectral theory, Mathematical physics, Dynamical systems
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:00224715
DOI:10.1007/s10955-014-0974-2