走向现代数学学术报告 - 朱丽丽博士生（No. 611）

报告题目：Introduction to relative topological conditional entropy

报 告 人：朱丽丽（复旦大学）

报告时间：2023年5月12日（星期五）20:00

报告地点：工西417

摘要：In this talk, we provide a sufficient condition for the existence of invariant measures with maximal relative measure-theoretic entropy, by introducing a new invariant for any factor map between topological dynamical systems, the concept of relative topological conditional entropy. Then a Ledrappier’s type variational principle is proved and further properties is also explored concerning relative topological conditional entropy. We also interpret relative topological conditional entropy, respectively, using relative topological entropy of subsets and Bowen’s dimensional entropy. This work is joint with Professor G. Zhang.

报告人简介：朱丽丽，复旦大学数学学科学院在读博士生。主要从事拓扑动力系统与遍历论方面的研究，具体包括动力系统中相对拓扑条件熵等的研究，在Discrete Contin. Dyn. Syst., Nonlinearity等期刊发表文章。