Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

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.

References in corpus (2)

• Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals
• Continuity of the measure of the spectrum for discrete quasiperiodic operators

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