动力系统系列讨论班—Density of infinite subsets
主 题: 动力系统系列讨论班—Density of infinite subsets
报告人: Changguang Dong (Pennsylvania State University)
时 间: 2017-05-23 15:10-17:00
地 点: 三教108
Abstract: Given a topological system (Y,T) and an infinite subset A, we study two types of density property. The first one concerns how dense the (some) iteration of A under T is. The other one measures the density of the union of some finite iterations of A. Mostly we will focus the former density property. We say a system has Glasner Property if for any infinite subset A, a small number epsilon, one can have some iteration of A which is epsilon-dense under the Hausdorff semimetric.
We will discuss several nontrivial results for algebraic actions of “large” groups. The ingredients are harmonic analysis, classification of invariant measures and joinings. If time permits, I will also discuss some open problems.