Symbolic extensions for 3-dimensional diffeomorphisms
Dynamical Systems
2019-11-12 v2
Abstract
We prove that every diffeomorphism with on a three-dimensional manifold admits symbolic extensions, i.e. topological extensions which are subshifts over a finite alphabet. This answers positively a conjecture of Downarowicz and Newhouse in dimension three.
Cite
@article{arxiv.1911.00206,
title = {Symbolic extensions for 3-dimensional diffeomorphisms},
author = {David Burguet and Gang Liao},
journal= {arXiv preprint arXiv:1911.00206},
year = {2019}
}