Groups and Dynamics Seminar
Date: March 1, 2023
Time: 3:00PM - 4:00PM
Location: BLOC 302
Speaker: Frank Lin, Texas A&M University
Title: Entropy and quantitative orbit equivalence
Abstract: In the setting of probability measure preserving group actions, two systems are orbit equivalent if their orbits can be matched almost everywhere in a measurable fashion. Orbit equivalence is much weaker than measure conjugacy in general, but various authors have shown that entropy is invariant under certain stronger notions of quantitative orbit equivalence. We introduce some of these results, including (in joint work with Lewis Bowen) the invariance of the f-invariant- a generalization of Kolmogorov-Sinai entropy to actions of free groups - under bounded orbit equivalence.