Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

J. Bourgain, S. Jitomirskaya

Published 2001-10-31Version 1

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.