Exact dynamical decay rate for the almost Mathieu operator

Abstract

We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov exponent, for supercritical almost Mathieu operators with Diophantine frequencies.

References in corpus (3)

• Moment Analysis for Localization in Random Schroedinger Operators
• Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase
• Exponential dynamical localization for the almost Mathieu operator

Cited by in corpus (2)

• Quantitative inductive estimates for Green's functions of non-self-adjoint matrices
• Spectral decimation of a self-similar version of almost Mathieu-type operators