Journal d’Analyse Mathématique

, Volume 96, Issue 1, pp 313–355 | Cite as

Positivity and continuity of the Lyapounov exponent for shifts on T d with arbitrary frequency vector and real analytic potentiald with arbitrary frequency vector and real analytic potential

  • J. Bourgain


Harmonic Measure Subharmonic Function Shift Vector Anderson Localization Apply Lemma 
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Copyright information

© The Hebrew University Magnes Press 2005

Authors and Affiliations

  • J. Bourgain
    • 1
  1. 1.School of MathematicsInstitute for Advanced StudyPrincetonUSA

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