On manifolds admitting stable type iii1 anosov diffeomorphisms

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We prove that for every d ≠ 3 there is an Anosov diffeomorphism of Td which is of stable Krieger type III1 (its Maharam extension is weakly mixing). This is done by a construction of stable type III1 Markov measures on the golden mean shift which can be smoothly realized as a C1 Anosov diffeomorphism of T2 via the construction in our earlier paper.

Original languageAmerican English
Pages (from-to)251-270
Number of pages20
JournalJournal of Modern Dynamics
StatePublished - 2018


  • Anosov diffeomorphisms
  • Maharam exten-sion
  • Markov shifts
  • Ratio set

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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