Journal of Statistical Physics

, Volume 108, Issue 5–6, pp 1203–1218 | Cite as

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 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.

Continuity Lyapunov exponents quasiperiodic Schrödinger operators 


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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • J. Bourgain
    • 1
    • 2
  • S. Jitomirskaya
    • 3
  1. 1.Institute for Advanced StudyPrinceton
  2. 2.Department of MathematicsUniversity of Illinois Urbana-ChampaignUrbana
  3. 3.Department of MathematicsUniversity of CaliforniaIrvine

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