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arXiv · 1910.13536

Cantor Spectrum for CMV and Jacobi Matrices with Coefficients arising from Generalized Skew-Shifts

Hyunkyu Jun
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Abstract

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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BibTeXRIS

Hyunkyu Jun. 2019-10-29. Cantor Spectrum for CMV and Jacobi Matrices with Coefficients arising from Generalized Skew-Shifts. https://arxiv.org/abs/1910.13536

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