On mostly expanding diffeomorphisms
Dynamical Systems
2016-11-23 v2
Abstract
In this work we study the class of mostly expanding partially hyperbolic diffeomorphisms. We prove that such class is -open, , among the partially hyperbolic diffeomorphisms (in the narrow sense) and we prove that the mostly expanding condition guarantee the existence of physical measures and provide more information about the statistics of the system. Ma\~n\'e's classical derived-from-Anosov diffeomorphism on belongs to this set.
Cite
@article{arxiv.1512.01046,
title = {On mostly expanding diffeomorphisms},
author = {Martin Andersson and Carlos H. Vásquez},
journal= {arXiv preprint arXiv:1512.01046},
year = {2016}
}
Comments
We improve the paper incorporating the referee's suggestions