Title

Full measure reducibility and localization for quasiperiodic Jacobi operators: A topological criterion

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

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