成丹丹博士报告
报告人: 成丹丹博士（山西师范大学）
报告时间：2022年6月2日 9：00-10：00
报告题目：Upper metric mean dimensions for impulsive semi-flows
报告地点：腾讯会议（388-8232-2361）
摘要：We introduce three definitions of upper metric mean dimensions for semi-flows. We prove that the three definitions coincide for continuous semi-flows. Then we conclude that any impulsive semi-flow, under certain conditions, is semi-conjugate to a continuous semi-flow with same upper metric mean dimensions. As a corollary, a variational principle is obtained for impulsive semi-flows. This is a joint work with Zhiming Li.
报告人: 成丹丹博士（山西师范大学）
报告时间：2022年6月9日 9：00-10：00
报告题目：：Entropy of impulsive semi-flows on subsets
报告地点：腾讯会议（388-8232-2361）
摘要：Based on the theory of Carath´eodory structure, we introduce three definitions of entropies for semi-flows on arbitrary subsets. We prove that the three definitions coincide for continuous semi-flows on subsets. Then we conclude that any impulsive semi-flow on subsets, under certain conditions, is semi-conjugate to a continuous semi-flow on subsets with same entropies. The inverse variational principle between topological τ-entropy and measure theoretic τ-entropy of a impulsive semi-flow is established. This is a joint work with Zhiming Li.