报告时间:2023年04月28日, 北京时间10: 30-11:20
报告地点:天赐庄校区览秀楼105
报告人:张国华教授(复旦大学威尼斯人 )
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.
邀请人:梁兵兵