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• W3098014620 startingPage "867" @default.
• W3098014620 abstract "In this paper we obtain upper quantum dynamical bounds as a corollary of positive Lyapunov exponent for Schrodinger operators $H_{f,theta} u(n)=u(n+1)+u(n-1)+ phi(f^ntheta)u(n)$, where $phi : mathcal{M}to {Bbb R}$ is a piecewise Holder function on a compact Riemannian manifold $mathcal{M}$, and $f:mathcal{M}tomathcal{M}$ is a uniquely ergodic volume preserving map with zero topological entropy. As corollaries we obtain localization-type statements for shifts and skew-shifts on higher dimensional tori with arithmetic conditions on the parameters. These are the first localization-type results with precise arithmetic conditions for multi-frequency quasiperiodic and skew-shift potentials." @default.
• W3098014620 created "2020-11-23" @default.
• W3098014620 creator A5021709348 @default.
• W3098014620 creator A5026420876 @default.
• W3098014620 date "2019-01-01" @default.
• W3098014620 modified "2023-09-23" @default.
• W3098014620 title "Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy" @default.
• W3098014620 cites W125385535 @default.
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• W3098014620 doi "https://doi.org/10.2140/apde.2019.12.867" @default.
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