Partially volume expanding diffeomorphisms
Dynamical Systems
2021-02-24 v1
Abstract
We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle is larger than . This is a open property. We show that any partially volume expanding diffeomorphisms admits finitely many physical measures, the union of whose basins has full volume.
Cite
@article{arxiv.2003.11918,
title = {Partially volume expanding diffeomorphisms},
author = {Shaobo Gan and Ming Li and Marcelo Viana and Jiagang Yang},
journal= {arXiv preprint arXiv:2003.11918},
year = {2021}
}