报告时间：2026年1月7日（周三）下午 14:00-15:00

报告地点：苏州大学天赐庄校区精正楼306

报告人：吴昊 博士，苏黎世大学

报告摘要：

In chaotic dynamical systems with positive entropy, ergodic sums often display probabilistic behaviour analogous to sums of independent random variables and satisfy a central limit theorem (CLT) when the initial points are randomised. In contrast, for zero-entropy systems, the CLT—and limit theorems more generally—typically fail due to the absence of fast mixing. In the 1960s, a celebrated result of Kesten (Ann. of Math.) showed that for random rotations of the circle, ergodic sums may converge, after a logarithmic normalisation, to a Cauchy distribution. In the 2010s, Dolgopyat and Fayad extended Kesten's results to higher dimensions using techniques from harmonic analysis and homogeneous dynamics. In this talk, I will present my recent works extending these results to \mathbb Z^d-actions by toral translations, as well as almost sure bounds in related settings.

报告人简介：

吴昊，2022年博士毕业于巴黎第七大学（巴黎西岱大学），目前在苏黎世大学做博士后。主要研究方向为零熵动力系统的统计性质，丢番图逼近以及无穷测度的遍历理论。

邀请人：张涵