Khitchine dichotomy for self-similar measures

Time：Thur., 16:00-17:00, May 21, 2026

Venue：C548, Shuangqing Complex Building A

Organizer：吴昊，杨帆，姜建平，顾陈琳，李文博

Speaker：Weikun He

YMSC Probability Seminar

Organizers：吴昊，杨帆，姜建平，顾陈琳，李文博

Speaker：Weikun He 何伟鲲 AMSS

Time：

Thur., 16:00-17:00, May 21, 2026

Venue：

C548, Shuangqing Complex Building A

Title:

Khitchine dichotomy for self-similar measures

Abstract:

Khintchine's theorem is a basic result in Metric Diophantine approximation. It charaterizes whether a random real number can be well approximated by rational or not. In the original Khintchine's theorem, the random real number is sampled according to the Lebesgue measure on the unit interval. In a joint work with Timothée Bénard and Han Zhang, we extended this work to all self-similar measure. This talk is a gentle overview of this problem.

DATEMay 20, 2026

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