A symbolic representation for Anosov–Katok systems

Matthew Foreman; Benjamin Weiss

doi:10.1007/s11854-019-0010-1

A symbolic representation for Anosov–Katok systems

Matthew Foreman^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	603-661
Number of pages	59
Journal	Journal d'Analyse Mathematique
Volume	137
Issue number	2
DOIs	https://doi.org/10.1007/s11854-019-0010-1
State	Published - 1 Mar 2019

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Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.

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A symbolic representation for Anosov–Katok systems

Abstract

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