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$\Delta$-weakly mixing subsets and mean Li-Yorke chaos in dynamical systems with positive entropy

发布日期:2021-03-26点击数:

报告人:刘凯冉(中国科技大学)

时间:2021年3月25日 9:30开始

地点:数统学院LD302


报告摘要:In this talk, by applying some recent results about recurrence and multiple ergodic average, we introduce  two kinds of chaos of dynamical systems with positive entropy. We will prove that, for countable torsion-free discrete group actions positive entropy implies the existence of $\Delta$-weakly mixing sets. We will also introduce $\Delta$-weakly mixing sets along a collection of sequences of integers for $\mathbb{Z}$-actions. Finally, we consider the mean Li-Yorke chaos along non-constant integer polynomials for a dynamical system.Part of the work is joint with Li Jian.


联系人:黄辉斥


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。