報告時間：2023年4月22日（星期六）10:00
報告地點：翡翠湖校區科教樓B座1710室
報 告 人：張國華 教授
工作單位：復旦大學
舉辦單位：數學學院
報告簡介：
Given any topological dynamical system, in 2012 Feng and Huang introduced the measure-theoretical lower and upper entropies for arbitrary Borel probability measure, and proved the variational principle concerning Bowen topological entropy (packing topological entropy, respectively) and the measure-theoretical lower entropy (upper entropy, respectively). In this talk, we will discuss the existence of measures with maximal entropy for both Bowen and packing topological entropies of subsets (in h-expansive systems). We will also discuss a little bit about the possibility of defining the measure-theoretical entropies using partitions. This is a work in progress, joint with Xulei Wang.
報告人簡介：
張國華，復旦大學教授、博士生導師。主要研究動力系統的復雜性理論和可數離散群作用動力系統的熵理論。在Mem. AMS, J. Reine Angew. Math., Adv. Math., Trans. Amer. Math. Soc.，J. Funct. Anal., J. Differential Equations, Ergodic Theory Dynam. Systems等國際知名刊物上發表論文40余篇。承擔了國家自然科學基金優秀青年基金，國家自然科學基金面上項目等多項科研項目。
