Cantor Spectrum for CMV and Jacobi Matrices with Coefficients arising from Generalized Skew-Shifts
2019
Online
report
We consider continuous cocycles arising from CMV and Jacobi matrices. Assuming the Verblunsky and Jacobi coefficients arise from generalized skew-shifts, we prove that uniform hyperbolicity of the associated cocycles is $C^0$-dense. This implies that the associated CMV and Jacobi matrices have Cantor spectrum for a generic continuous sampling map.
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Cantor Spectrum for CMV and Jacobi Matrices with Coefficients arising from Generalized Skew-Shifts
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Autor/in / Beteiligte Person: | Jun, Hyunkyu |
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Veröffentlichung: | 2019 |
Medientyp: | report |
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