数学与统计学院学术报告[2023] 003号

(高水平大学建设系列报告774号)

报告题目: Topological mean dimension of induced systems

报告人：史汝西 研究员 (法国Sorbonne大学)

报告时间：2023年02月16日15：40 - 16：40

报告地点：深大数学研究所会议室（文科楼1420 ）

报告内容：

For a topological system, W. Bauer and K. Sigmund (1975) have investigated the induced system, i.e. the induced transformation on the set of probability measures endowed with the weak-∗ topology. Later B. Weiss and E. Glasner (1995) showed that for a topological system with zero topological entropy, so does its induced system. M. Gromov (1999) has introduced a new topological invariant of dynamical systems called (topological) mean dimension as a dynamical analogue of topological covering dimension. In this talk, I will discuss the mean dimension of induced systems of positive topological systems. If time permits, I will also talk about the rate of divergence of the entropy of induced system with respect to the Wasserstein distance when the scale goes to zero. This is a joint work with David Burguet.

报告人简历：

史汝西： 复旦大学本科毕业，法国Picardie大学获博士学位。先后在芬兰Oulu大学，波兰科学院从事博士后工作。现在法国Sorbonne大学任研究员（chercheur）。 曾主持法国青年研究员基金一项。主要研究方向为动力系统与遍历理论，Fourier分析和调和分析。在Adv. Math.，Math. Ann.，Trans. Amer. Math. Soc.，Isr. J. Math.等杂志发表多篇文章。

欢迎感兴趣的师生参加！

                                             数学与统计学院

2023年02月13日