The ergodicity of a class of almost Anosov systems

Authors
Citation
Zhou, Yun Hua, The ergodicity of a class of almost Anosov systems, Acta mathematica Sinica. English series (Print) , 29(1), 2013, pp. 193-198
ISSN journal
14398516
Volume
29
Issue
1
Year of publication
2013
Pages
193 - 198
Database
ACNP
SICI code
Abstract
In this paper, we prove that some volume-preserving almost Anosov systems are ergodic if they are essentially accessible. The key idea is that there are stable and unstable manifolds with uniform size on the orbits of the hyperbolic points for these systems.