Trends in Dynamics

Title: Multiple recurrence and joining rigidity
Speaker: Tim Austin
Speaker Info: Brown University
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Since Furstenberg proved the Multiple Recurrence Theorem and its equivalence to Szemeredi's Theorem, ergodic theory has seen the rise of a large sub-area dedicated to the study of multiple recurrence phenomena and the structures within probability-preserving systems that give rise to them. In this talk I will discuss some recent advances in the understanding of convergence of certain `non-conventional' ergodic averages that play a central role in this theory, and in particular will relate their analysis to a search for rigidity among those joinings of general probability-preserving systems that exhibit some additional symmetries beyond the diagonal transformations coming from the original system.
Date: Saturday, April 30, 2011
Time: 10:40am-11:30am
Where: Hardin Hall, Rebecca Crown Center, 633 Clark Street, Downstairs
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