Stability of Lyapunov exponents

F. Ledrappier, L. S. Young

Research output: Contribution to journalArticle

Abstract

We consider small random perturbations of matrix cocycles over Lipschitz homeomorphisms of compact metric spaces. Lyapunov exponents are shown to be stable provided that our perturbations satisfy certain regularity conditions. These results are applicable to dynamical systems, particularly to volume-preserving diffeomorphisms.

Original languageEnglish (US)
Pages (from-to)469-484
Number of pages16
JournalErgodic Theory and Dynamical Systems
Volume11
Issue number3
DOIs
StatePublished - Sep 1991

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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