Abstract:
This paper discusses relationships among the basic notions
that have been important in recent investigations of
the ergodicity of volume-preserving
partially hyperbolic diffeomorphisms. In particular we survey the possible definitions
of dynamical coherence and discuss the relationship between dynamical coherence and center bunching.
This article is available in the following formats:
The research in this article was supported by National Science Foundation grant DMS-0408704. Needless to say, any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Authors' addresses: Keith Burns Department of Mathematics Northwestern University Evanston, IL 60208-2730 Amie Wilkinson Department of Mathematics Northwestern University Evanston, IL 60208-2730