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Название: Continuity of the Lyapunov Exponent for Quasiperiodic Operators with Analytic Potential
Авторы: Bourgain J., Jitomirskaya S.
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.