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明日现代动力学讨论班:南开大学董长光主讲

来源: 10-12

时间:Wed., 19:30 - 20:30, Oct. 12, 2022

地点: Online / 线上 Tencent:364-137-285

组织者:张翼华、薛金鑫、黄冠

主讲人: Speaker / 主讲人 Changguang Dong (Nankai University)

Abstract

We will discuss old and new properties of skew product systems, we will focus on the rigidity phenomenon of the conditional measures on fibers. Based on joint work with Dolgopyat, Kanigowski, and Nandori.

Please join the seminar using the following link:

https://meeting.tencent.com/dm/Qwu9hAyugbxj


Speaker

董长光博士2012年本科毕业于南开大学,2018年在美国宾夕法尼亚州立大学获博士学位,曾任职于美国马里兰大学从事博士后研究。2022年入职南开大学陈省身数学研究所。研究方向为动力系统和光滑遍历论。

近日,董长光与美国马里兰大学Dmitry Dolgopyat、Adam Kanigowski,美国叶史瓦大学Péter Nándori在国际顶尖数学期刊《INVENTIONES MATHEMATICAE》合作发表论文“Flexibility of statistical properties for smooth systems satisfying the central limit theorem”。该论文详细研究了一类动力系统的遍历和统计性质。此类系统是动力系统领域的一类非常经典的系统,许多国际知名数学家如Ornstein、Feldman、Rudolph等都在这方面有深入的研究。这篇文章中的一项重要成果完全解决了Thouvenot的长达40年未解决的问题,其结果对数学家了解并进一步研究动力系统的奇异性提供了极大的帮助。

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