演講公告

演講主題：Topologically Mixing Properties of Multiplicative Integer System
主講人：張志鴻教授(國立高雄大學應用數學系)
演講日期：2020 年5月12日(星期二) 14:00 –15:00
演講地點：(光復校區) 科學一館223室
摘要內容：
Abstract. Motivated from the study of multiple ergodic average, the investigation of multiplicative shift spaces has caused researcher's interests. In this talk, I will introduce the relations of topologically mixing properties of multiplicative shift spaces and traditional shift spaces, which are additively invariant. Suppose that $\mathsf{X}_{\Omega}^{(l)}$ is the multiplicative subshift comes from the shift space $\Omega$ with given $l > 1$. We show that $\mathsf{X}_{\Omega}^{(l)}$ is (topologically) transitive/mixing if and only if $\Omega$ is extensible/mixing. After introducing $l$-directional mixing property, we derive the equivalence between $l$-directional mixing property of $\mathsf{X}_{\Omega}^{(l)}$ and weakly mixing property of $\Omega$.

***本演講為遠距同步演講***
相關檔案：TALK_1090512.pdf

$返回$ go back