Journal d'Analyse Mathématique

, Volume 137, Issue 2, pp 603–661 | Cite as

A symbolic representation for Anosov–Katok systems

  • Matthew ForemanEmail author
  • Benjamin Weiss


This paper is the first of a series of papers culminating in the result that measure preserving diffeomorphisms of the disc or 2-torus are unclassifiable. It addresses another classical problem: which abstract measure preserving systems are realizable as smooth diffeomorphisms of a compact manifold? The main result gives symbolic representations of Anosov–Katok diffeomorphisms.


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Copyright information

© The Hebrew University of Jerusalem 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, IrvineIrvineUSA
  2. 2.Einstein Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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