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arXiv · 1508.00627

A symbolic representation of Anosov-Katok systems

Matthew Foreman·Benjamin Weiss
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Abstract

This paper is part 1 of a series of papers culminating in the result that measure preserving diffeomorphisms of the disc or 2-torus are unclassifiable. It also addresses another classical problem: which abstract measure preserving systems are realizable as smooth diffeomorphisms of a compact manifold? The main result of this paper gives new symbolic representations of the Anosov-Katok diffeomorphisms.

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Matthew Foreman, Benjamin Weiss. 2015-08-04. A symbolic representation of Anosov-Katok systems. https://arxiv.org/abs/1508.00627

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