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Mathematics Colloquium

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Date:  Tuesday, April 19, 2016

Title:  Stationary measures, P-invariant measures and invariant measures for group actions.

Abstract:  For actions of non-amenable groups, existence of an invariant measure has often important implications. In this lecture we shall discuss examples of these implications as well as results on existence of invariant measures. These results involves the notion of random dynamics, stationary measures and P-invariant measures when the group is a semisimple Lie group. We will try to maintain the discussion at an elementary level, and present the notions mostly through simple examples. This is based on ongoing work with Aaron Brown and Zhiren Wang.


Speaker:  Federico Rodriguez Hertz
Institution:  Penn State

 

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