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math-ph2023
Non-perturbative localization on the strip and Avila's almost reducibility conjecture
Rui Han, Wilhelm Schlag
We prove non-perturbative Anderson localization and almost localization for a family of quasi-periodic operators on the strip. As an application we establish Avila's almost reducib…
math-ph2023
Avila's acceleration via zeros of determinants, and applications to Schrödinger cocycles
Rui Han, Wilhelm Schlag
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 appli…