Full measure reducibility and localization for Jacobi operators: a topological criterion
arXiv:1608.01032 · doi:10.1016/j.aim.2017.08.026
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.
Referee comments incorporated