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- W4302388676 abstract "We show that a generic element of a space of limit-periodic CMV operators has zero-measure Cantor spectrum. We also prove a Craig--Simon type theorem for the density of states measure associated with a stochastic family of CMV matrices and use our construction from the first part to prove that the Craig--Simon result is optimal in general. We discuss applications of these results to a quantum walk model where the coins are arranged according to a limit-periodic sequence. The key ingredient in these results is a new formula which may be viewed as a relationship between the density of states measure of a CMV matrix and its Schur function." @default.
- W4302388676 created "2022-10-06" @default.
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- W4302388676 date "2016-10-19" @default.
- W4302388676 modified "2023-09-24" @default.
- W4302388676 title "Purely Singular Continuous Spectrum for Limit-Periodic CMV Operators with Applications to Quantum Walks" @default.
- W4302388676 doi "https://doi.org/10.48550/arxiv.1610.06159" @default.
- W4302388676 hasPublicationYear "2016" @default.
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