报告题目：Measures with maximal entropy for Bowen and packing topological entropies of subsets

报告人：张国华，复旦大学

时间：2023年4月21日（周五）16：10-17：00

地点：东区第五教学楼5202教室

摘要：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.