Mathematical Physics Seminar
Full Measure Reducibility and Localization for Quasi- Periodic Jacobi Operators: a Topological Criterion
Rui Han,
Department of Mathematics,
UC Irvine,
We establish a topological criterion for connection between reducibility to constant rotations and dual localization, for the general family of analytic quasi-periodic 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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Mathematical Physics Seminar Series
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