The Midwest Dynamical Systems meeting 2015 will take place at OSU from 30th October to 1st November 2015.
The MWDS meeting has been held annually for over 40 years, and rotates around various universities in the Midwest and beyond. This will be the first time that MWDS has come to Ohio State. An archive of past MWDS conferences can be found at http://www.math.northwestern.edu/mwds/.
Details will be announced soon!
Speaker: Brandon Seward
Title: Krieger’s finite generator theorem for ergodic actions of countable groups
Abstract: The classical Krieger finite generator theorem states that if a free ergodic probability-measure-preserving action of Z has entropy less than log(k), then the action admits a generating partition consisting of k sets. This was extended to actions of amenable groups independently by Rosenthal and Danilenko–Park. We introduce the notion of Rokhlin entropy which is defined for actions of general countable groups. Rokhlin entropy may be viewed as a natural extension of classical entropy, as when the acting group is amenable the two notions coincide. Using this notion of entropy, we prove Krieger’s finite generator theorem for actions of general countable groups.