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概率与动力系统讨论班
概率与动力系统讨论班
Trimmed Strong Laws and Distributional Limits for Exponentially Mixing Systems
Trimmed Strong Laws and Distributional Limits for Exponentially Mixing Systems
演讲者
时间
2026年06月16日 15:15 至 16:15
地点
A3-3-301
线上
Zoom 482 240 1589
(BIMSA)
摘要
The Birkhoff Ergodic Theorem guarantees pointwise convergence for integrable observables. However, for nonintegrable functions, no normalization can produce almost sure convergence to a nontrivial limit. We ask whether trimming, that is, removing a few extreme terms, can restore convergence, and if so, what limit distribution the trimmed sum follows. We answer these questions for observables with polynomial tails in exponentially mixing dynamical systems. We establish trimmed strong laws under light and intermediate trimming, together with the corresponding distributional limit theorems. This is joint work with Max Auer.
演讲者介绍
刘思序于2019年获得北京大学博士学位，之后在清华大学任博士后，并于2022年加入BIMSA任助理研究员。主要研究方向为动力系统与遍历论，统计试验设计。