Every compact manifold carries a completely hyperbolic diffeomorphism

Dmitry Dolgopyat, Yakov Pesin

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


We show that a smooth compact Riemannian manifold of dimension greater than or equal to 2 admits a Bernoulli diffeomorphism with non-zero Lyapunov exponents.

Original languageEnglish (US)
Pages (from-to)409-435
Number of pages27
JournalErgodic Theory and Dynamical Systems
Issue number2
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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