- 01-404 J. Bourgain, S. Jitomirskaya
- Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
Oct 30, 01
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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 joint continuity of L, in frequency and energy, at every irrational frequency.