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- W2950572936 abstract "We show that for a class of $C^2$ quasiperiodic potentials and for any Diophantine frequency, the Lyapunov exponents of the corresponding Schrodinger cocycles are uniformly positive and weak Holder continuous as function of energies. As a corollary, we also obtain that the corresponding integrated density of states (IDS) is weak Holder continous. Our approach is of purely dynamical systems, which depends on a detailed analysis of asymptotic stable and unstable directions. We also apply it to more general $mathrm{SL}(2,mathbb R)$ cocycles, which in turn can be applied to get uniform positivity and continuity of Lyapuonv exponents around unique nondegenerate extremal points of any smooth potential, and to a certain class of $C^2$ SzegH o cocycles." @default.
- W2950572936 created "2019-06-27" @default.
- W2950572936 creator A5030121474 @default.
- W2950572936 creator A5054566405 @default.
- W2950572936 date "2013-11-18" @default.
- W2950572936 modified "2023-09-24" @default.
- W2950572936 title "Uniform Positivity and Continuity of Lyapunov Exponents for a Class of $C^2$ Quasiperiodic Schrodinger Cocycles " @default.
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- W2950572936 doi "https://doi.org/10.48550/arxiv.1311.4282" @default.
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