arXiv Analytics

Sign in

arXiv:math/0610605 [math.DS]AbstractReferencesReviewsResources

A hyperbolic diffeomorphism with countably many ergodic components near identity

Huyi Hu, Anna Talitskaya

Published 2006-10-19Version 1

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.

Categories: math.DS
Subjects: 37D25, 37D30
Related articles: Most relevant | Search more
arXiv:1409.8002 [math.DS] (Published 2014-09-29)
Ergodic components of partially hyperbolic systems
arXiv:1711.01983 [math.DS] (Published 2017-11-06)
Interpolating vector fields for near identity maps and averaging
arXiv:1005.4149 [math.DS] (Published 2010-05-22)
Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

Links

Toolbox