A symbolic representation of Anosov-Katok systems
Dynamical Systems
2017-03-22 v2
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.
Keywords
Cite
@article{arxiv.1508.00627,
title = {A symbolic representation of Anosov-Katok systems},
author = {Matthew Foreman and Benjamin Weiss},
journal= {arXiv preprint arXiv:1508.00627},
year = {2017}
}
Comments
69 pages, 10 figures