4.4 Article

Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

Journal

JOURNAL OF STATISTICAL PHYSICS
Volume 108, Issue 5-6, Pages 1203-1218

Publisher

KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1019751801035

Keywords

continuity; Lyapunov exponents; quasiperiodic Schrodinger operators

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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.

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