4:00 pm Thursday, September 22, 2011
Colloquium: Entropy in measurable dynamics
by
Lewis Bowen (Texas A&M) in HB 227
In 1958, Kolmogorov defined the entropy of a probability measure preserving transformation. Entropy has since been central to the classification theory of measurable dynamics. 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. Host Department: Rice University-Mathematics
Submitted by av15@rice.edu |
