A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms

F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi, R. Ures

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


In this work we exhibit a new criterion for ergodicity of diffeomorphisms involving conditions on Lyapunov exponents and the general position of some invariant manifolds. On the one hand, we derive uniqueness of SRB measures for transitive surface diffeomorphisms. On the other hand, using recent results on the existence of blenders we give a positive answer, in the C1 topology, to a conjecture of Pugh and Shub in the context of partially hyperbolic conservative diffeomorphisms with two dimensional center bundle.

Original languageEnglish (US)
Pages (from-to)74-81
Number of pages8
JournalElectronic Research Announcements of the American Mathematical Society
StatePublished - 2007

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms'. Together they form a unique fingerprint.

Cite this