Physical measures for partially hyperbolic surface endomorphisms
Dynamical Systems
2007-05-23 v2 Probability
Abstract
We consider dynamical systems generated by partially hyperbolic surface endomorphisms of class C^r with one-dimensional strongly unstable subbundle. As the main result, we prove that such a dynamical system generically admits finitely many ergodic physical measures whose union of basins of attraction has total Lebesgue measure, provided that r>= 19.
Cite
@article{arxiv.math/0301243,
title = {Physical measures for partially hyperbolic surface endomorphisms},
author = {Masato Tsujii},
journal= {arXiv preprint arXiv:math/0301243},
year = {2007}
}
Comments
72pages, no figures