A hyperbolic diffeomorphism with countably many ergodic components near identity
动力系统
2007-05-23 v1
摘要
We construct a smooth hyperbolic volume preserving diffeomorphism on a four dimensional compact Riemannian manifold which has countably many ergodic components and is arbitrarily close to the identity map.
引用
@article{arxiv.math/0610605,
title = {A hyperbolic diffeomorphism with countably many ergodic components near identity},
author = {Huyi Hu and Anna Talitskaya},
journal= {arXiv preprint arXiv:math/0610605},
year = {2007}
}