Smooth stabilizers for measures on the torus

Aaron W Brown*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


For a dissipative Anosov diffeomorphism f of the 2-torus, we give examples of f-invariant measures μ such that the group of μ-preserving diffeomorphisms is virtually cyclic.

Original languageEnglish (US)
Pages (from-to)43-58
Number of pages16
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue number1
StatePublished - Jan 1 2015


  • Anosov diffeomorphisms
  • Group actions
  • Hyperbolic dynamics
  • Invariant measures
  • Rigidity

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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