Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
J. Bourgain, S. Jitomirskaya
Abstract
We study regularity properties of the Lyapunov exponent L of quasiperiodic operators with analytic potential, under no assumptions on the Diophantine class of the frequency. We prove that L is jointly continuous, in frequency and energy, at every irrational frequency.
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