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math-ph2003★ 9 cited
Nonperturbative localization
Svetlana Ya. Jitomirskaya
Study of fine spectral properties of quasiperiodic and similar discrete Schrödinger operators involves dealing with problems caused by small denominators, and until recently was on…
math-ph2001
Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
J. Bourgain, S. Jitomirskaya
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 pro…