On manifolds admitting stable type iii1 anosov diffeomorphisms

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume13
DOIs
StatePublished - 2018

Keywords

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

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On manifolds admitting stable type iii1 anosov diffeomorphisms'. Together they form a unique fingerprint.

Cite this