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dc.contributor.authorFang, Licheng
Damanik, David
Guo, Shuzheng
dc.date.accessioned 2020-10-15T19:35:57Z
dc.date.available 2020-10-15T19:35:57Z
dc.date.issued 2020
dc.identifier.citation Fang, Licheng, Damanik, David and Guo, Shuzheng. "Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients." Journal of Functional Analysis, 279, no. 12 (2020) Elsevier: https://doi.org/10.1016/j.jfa.2020.108803.
dc.identifier.urihttps://hdl.handle.net/1911/109414
dc.description.abstract We consider CMV matrices with dynamically defined Verblunsky coefficients. These coefficients are obtained by continuous sampling along the orbits of an ergodic transformation. We investigate whether certain spectral phenomena are generic in the sense that for a fixed base transformation, the set of continuous sampling functions for which the spectral phenomenon occurs is residual. Among the phenomena we discuss are the absence of absolutely continuous spectrum and the vanishing of the Lebesgue measure of the spectrum.
dc.language.iso eng
dc.publisher Elsevier
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.title Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients
dc.type Journal article
dc.citation.journalTitle Journal of Functional Analysis
dc.subject.keywordCMV matrices
Ergodic Verblunsky coefficients
Kotani theory
dc.citation.volumeNumber 279
dc.citation.issueNumber 12
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1016/j.jfa.2020.108803
dc.type.publication post-print
dc.citation.articleNumber 108803


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