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Purely Singular Continuous Spectrum for CMV Operators Generated by Subshifts.

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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]
Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Purely Singular Continuous Spectrum for CMV Operators Generated by Subshifts.
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  Data: 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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  Data: <i>Copyright of Journal of Statistical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10955-014-0974-2
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      – SubjectFull: Common method variance
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      – TitleFull: Purely Singular Continuous Spectrum for CMV Operators Generated by Subshifts.
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