"A new approach to the old problem of S. Kakutani on unification of ergodic averages and martingales. Some results and difficulties"
Abstract: A certain similarity between convergence theorems for ergodic averages and for martingales has been known since 1940s. This similarity led to the natural conjecture that ergodic averages and martingales can be unified into a single structure. Formally, the problem was posed by S. Kakutani in 1950. For the last 60 years, at least six different approaches to this problem have been proposed. However, the problem has not been completely solved. In this talk, a new approach to the Kakutani problem is discussed.
Tea and cookies will be served before the seminar.
Date: Thursday, November 19, 2009
Place: Mathematics Seminar Room, SA-141