Poisson generic points - a variant of normality

Time：Thur., 3:40-4:40 pm, Nov.14, 2024

Venue：C548, Shuangqing Complex Building A

Speaker：Benjamin Weiss

YMSC Probability Seminar

Organizers：

吴昊，杨帆，姜建平，顾陈琳

Speaker：

Benjamin Weiss (Hebrew University of Jerusalem)

Time：

Thur., 3:40-4:40 pm, Nov.14, 2024

Venue：

C548, Shuangqing Complex Building A

Title：

Poisson generic points - a variant of normality

Abstract:

The notion of normal numbers goes back to the first proof of the strong law of large numbers by Borel more than a hundred years ago. He showed that Lebesgue a.e. number in [0,1] is normal. Some years ago Yuval Peres and I showed that a.e. number in [0,1] satisfies a much stronger condition called Poisson genericity which point-wise implies normality. Recently, together with V. Becker and her collaborators, we have generalized this result in several directions. I will explain these ideas without assuming prior knowledge.

DATENovember 13, 2024

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