Transitivity and topological mixing for C1 diffeomorphisms
Dynamical Systems
2016-09-15 v2
Abstract
We prove that, on connected compact manifolds, both C1-generic conservative diffeomorphisms and C1-generic transitive diffeomorphisms are topologically mixing. This is obtained through a description of the periods of a homoclinic class and by a control of the period of the periodic points given by the closing lemma.
Cite
@article{arxiv.1111.4206,
title = {Transitivity and topological mixing for C1 diffeomorphisms},
author = {Flavio Abdenur and Sylvain Crovisier},
journal= {arXiv preprint arXiv:1111.4206},
year = {2016}
}