Continuity of the Lyapunov Exponent for Quasiperiodic Operators with Analytic Potential |
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| Authors: | J. Bourgain S. Jitomirskaya |
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| Affiliation: | (1) Institute for Advanced Study, Princeton, New Jersey, 08540;(2) Department of Mathematics, University of Illinois Urbana-Champaign, Urbana, Illinois, 61801-2975;(3) Department of Mathematics, University of California, Irvine, California, 92697 |
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| Abstract: | 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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| Keywords: | Continuity Lyapunov exponents quasiperiodic Schrö dinger operators |
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