SRB Measures and Young Towers for Surface Diffeomorphisms

Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We give geometric conditions that are necessary and sufficient for the existence of Sinai–Ruelle–Bowen (SRB) measures for C1+α surface diffeomorphisms, thus proving a version of the Viana conjecture. As part of our argument we give an original method for constructing first return Young towers, proving that every hyperbolic measure, and in particular every SRB measure, can be lifted to such a tower. This method relies on a new general result on hyperbolic branches and shadowing for pseudo-orbits in non-uniformly hyperbolic sets which is of independent interest.

Original languageEnglish (US)
Pages (from-to)973-1059
Number of pages87
JournalAnnales Henri Poincare
Issue number3
StatePublished - Mar 2022

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics


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