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arXiv · 1608.01032

Full measure reducibility and localization for Jacobi operators: a topological criterion

Rui Han·Svetlana Jitomirskaya
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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.

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Rui Han, Svetlana Jitomirskaya. 2016-08-02. Full measure reducibility and localization for Jacobi operators: a topological criterion. https://doi.org/10.1016/j.aim.2017.08.026

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