报告人 ：乔艺晓（广东工业大学）

时间：2023年02月16日 14:30-16:30

地址：数统学院LD302

摘要：In this talk I shall address an embedding problem in connection with mean dimension theory, which concerns the embedding behavior in relation to a critical value and which has been open for a decade. I will present its background briefly in the first half of my talk, and will give a complete solution to this problem in the second half of my talk. Precisely speaking, we prove that the shift action on the Hilbert cube contains a minimal subshift of full mean dimension. The existence of such a subshift reveals an unexpected phenomenon in contrast to dimension theory and entropy theory. The proof here is constructive. Our result, in company with the previous results in this direction, leads eventually to a full understanding of the embedding possibility of minimal dynamical systems in Hilbert cubes with a view towards mean dimension. This is a joint work with Lei Jin.

邀请人：黄小军

欢迎广大师生积极参与！