Tamar Ziegler (OSU Columbus)

will speak on

Universal characteristic factors of Furstenberg averages.

Abstract:

Averages of the form

(1/N) sum_{n=1}^N f_1(T^nx)f_2(T^{2n}x)....f_k(T^{kn}x)

were first introduced by Furstenberg in his ergodic theoretic proof of Szemeredi's theorem on arithmetic progressions. A factor of a measure preserving system is characteristic for an average if it "characterizes" the behavior of the average in the sense that the average can be calculated by projecting on that factor. We describe the universal characteristic factors of the above averages.

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Last update on 20/10/02.