Trends in Dynamics

Title: Entropy for sofic groups
Speaker: Lewis Bowen
Speaker Info: Texas A & M University
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In 1958, Kolmogorov defined the entropy of a probability measure preserving transformation. In the 70s and 80s researchers extended entropy theory to measure preserving actions of amenable groups (Kieffer, Ornstein-Weiss). My recent work generalizes the entropy concept to actions of sofic groups; a class of groups that contains for example, all subgroups of GL(n,C). Applications include the classification of Bernoulli shifts over a free group, answering a question of Ornstein and Weiss.
Date: Thursday, April 28, 2011
Time: 2:00pm-2:50pm
Where: Hardin Hall, Rebecca Crown Center, 633 Clark Street, Downstairs
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