Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms

Details Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms

2012-02-08

arxiv.org/abs/1202.1805v1

Mathematics

Dynamical Systems

Scientific paper

We show that the metric entropy of a $C^1$ diffeomorphism with a dominated splitting and the dominating bundle uniformly expanding is bounded from above by the integrated volume growth of the dominating (expanding) bundle plus the maximal Lyapunov exponent from the dominated bundle multiplied by its dimension. We also discuss different types of volume growth that can be associated with an expanding foliation and relationships between them, specially when there exists a closed form non-degenerate on the foliation. Some consequences for partially hyperbolic diffeomorphisms are presented.

Affiliated with

Also associated with

No associations

Rating

Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Volume growth and entropy for $C^1$ partially hyperbolic diffeomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155974