Orbit equivalence and sofic approximation

Details Orbit equivalence and sofic approximation Orbit equivalence and sofic approximation

2011-02-13

arxiv.org/abs/1102.2556v2

Mathematics

Dynamical Systems

Scientific paper

Given an ergodic probability measure preserving dynamical system $\G\acts (X,\mu)$, where $\G$ is a finitely generated countable group, we show that the asymptotic growth of the number of finite models for the dynamics, in the sense of sofic approximations, is an invariant of orbit equivalence. We then prove an additivity formula for free products with amenable (possibly trivial) amalgamation. In particular, we obtain purely combinatorial proofs of several results in orbit equivalence theory.

Affiliated with

Also associated with

No associations

Rating

Orbit equivalence and sofic approximation 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 Orbit equivalence and sofic approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orbit equivalence and sofic approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136