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- W4311431941 abstract "In this paper we give a characterization of Avila's quantized acceleration of the Lyapunov exponent via the number of zeros of the Dirichlet determinants in finite volume. As applications, we prove $beta$-Holder continuity of the integrated density of states for supercritical quasi-periodic Schrodinger operators restricted to the $ell$-th stratum, for any $beta<(2(ell-1))^{-1}$ and $ellge2$. We establish Anderson localization for all Diophantine frequencies for the operator with even analytic potential function on the first supercritical stratum, which has positive measure if it is nonempty." @default.
- W4311431941 created "2022-12-26" @default.
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- W4311431941 date "2022-12-12" @default.
- W4311431941 modified "2023-09-24" @default.
- W4311431941 title "Avila's acceleration via zeros of determinants, and applications to Schrodinger cocycles" @default.
- W4311431941 doi "https://doi.org/10.48550/arxiv.2212.05988" @default.
- W4311431941 hasPublicationYear "2022" @default.
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