Bowen Measure From Heteroclinic Points

Details Bowen Measure From Heteroclinic Points Bowen Measure From Heteroclinic Points

2011-04-06

arxiv.org/abs/1104.1156v1

Mathematics

Dynamical Systems

Scientific paper

We present a new construction of the entropy-maximizing, invariant probability measure on a Smale space (the Bowen measure). Our construction is based on points that are unstably equivalent to one given point, and stably equivalent to another: heteroclinic points. The spirit of the construction is similar to Bowen's construction from periodic points, though the techniques are very different. We also prove results about the growth rate of certain sets of heteroclinic points, and about the stable and unstable components of the Bowen measure. The approach we take is to prove results through direct computation for the case of a Shift of Finite type, and then use resolving factor maps to extend the results to more general Smale spaces.

Affiliated with

Also associated with

No associations

Rating

Bowen Measure From Heteroclinic Points 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 Bowen Measure From Heteroclinic Points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bowen Measure From Heteroclinic Points will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418453