We study regularity properties of the Lyapunov exponent L of one-frequency 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.
CITATION STYLE
Bourgain, J., & Jitomirskaya, S. (2002). Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential. Journal of Statistical Physics, 108(5–6), 1203–1218. https://doi.org/10.1023/A:1019751801035
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