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Ergodic Theory/Probability Seminar - Yair Hartman

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October 23, 2014
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2014-10-23 15:00:00 2014-10-23 16:00:00 Ergodic Theory/Probability Seminar - Yair Hartman Title: The Furstenberg entropy realization problemSpeaker: Yair Hartman (Weizmann Institute)Abstract:  Stationary actions are a generalization of measure preserving actions, in the context of a random walk on a group. The Furstenberg entropy of a stationary action is an important invariant which measures its "distance from invariance". The realization problem is to determine the possible entropy values realizable for a given random walk. In this talk we will see a new characterization of Kazhdan's property (T) in terms of this problem (for non-singular actions) and will use Invariant Random Subgroups (IRSs) in order to describe a full solution of the problem for lamplighter groups. Based of several joint works with Lewis Bowen, Omer Tamuz and Ariel Yadin. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: The Furstenberg entropy realization problem

Speaker: Yair Hartman (Weizmann Institute)

Abstract:  Stationary actions are a generalization of measure preserving actions, in the context of a random walk on a group. The Furstenberg entropy of a stationary action is an important invariant which measures its "distance from invariance". The realization problem is to determine the possible entropy values realizable for a given random walk. In this talk we will see a new characterization of Kazhdan's property (T) in terms of this problem (for non-singular actions) and will use Invariant Random Subgroups (IRSs) in order to describe a full solution of the problem for lamplighter groups. Based of several joint works with Lewis Bowen, Omer Tamuz and Ariel Yadin.

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