Markov structures and decay of correlations for non-uniformly expanding dynamical systems

Details Markov structures and decay of correlations for non-uniformly expanding dynamical systems Markov structures and decay of correlations for non-uniformly expanding dynamical systems

2002-05-17

arxiv.org/abs/math/0205191v1

Mathematics

Dynamical Systems

24 pages

Scientific paper

We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure for which the decay of the return time function can be controlled in terms of the time generic points need to achieve some uniform expanding behavior. As a consequence we obtain some rates for the decay of correlations of those maps and conditions for the validity of the Central Limit Theorem.

Affiliated with

Also associated with

No associations

Rating

Markov structures and decay of correlations for non-uniformly expanding dynamical systems 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 Markov structures and decay of correlations for non-uniformly expanding dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Markov structures and decay of correlations for non-uniformly expanding dynamical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-653322