Almost isomorphism for countable state Markov shifts

Details Almost isomorphism for countable state Markov shifts Almost isomorphism for countable state Markov shifts

2004-05-09

arxiv.org/abs/math/0405154v1

Mathematics

Dynamical Systems

Scientific paper

Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamical systems. In this paper, we investigate their almost isomorphism and entropy conjugacy and obtain a complete classification for the especially important class of strongly positive recurrent Markov shifts. This gives a complete classification up to entropy conjugacy of the natural extensions of smooth entropy expanding maps, including all smooth interval maps with non-zero topological entropy.

Affiliated with

Also associated with

No associations

Rating

Almost isomorphism for countable state Markov shifts 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 Almost isomorphism for countable state Markov shifts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost isomorphism for countable state Markov shifts will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41478