Document Type
Article
Publication Date
10-15-2017
Abstract
We establish a topological criterion for connection between reducibility to constant rotations and dual localization, for the general family of analytic quasiperiodic Jacobi operators. As a corollary, we obtain the sharp arithmetic phase transition for the extended Harper's model in the positive Lyapunov exponent region.
Publication Source (Journal or Book title)
Advances in Mathematics
First Page
224
Last Page
250
Recommended Citation
Han, R., & Jitomirskaya, S. (2017). Full measure reducibility and localization for quasiperiodic Jacobi operators: A topological criterion. Advances in Mathematics, 319, 224-250. https://doi.org/10.1016/j.aim.2017.08.026
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