动力系统与微分方程系列学术报告（七）：动力系统的熵的黑洞

讲座时间 Datetime: 

星期六, 2020/11/28 - 从 15:00 到 16:00

地点 Venue: 

海琴2号A412

报告人 Speaker: 

孙文祥

单位 Affiliation: 

北京大学

报告摘要 Abstract: 

I will talk about entropy black hole based on our series papers on topological entropy of flows with singularity. There is a pair of equivalent flows so that one has zero entropy and another has positive entropy, and furthermore, there is a pair of equivalent flows so that one has zero entropy and another has infinite entropy.  There is a 5-D manifold M and a family of $C^\infity$ flows on M with exact one singularity so that all the flows share the same orbits. Flows are distinguished by speeds, and all flows but one with critical low speed have positive entropy. We deduce speed around the singularity and thus deduce entropy, and at the end we get a zero entropy flow with the critical low speed. We explain vividly that all entropies of the family of flows are “absorbed” by the flow with the critical low speed, or are “absorbed ”by the singularity of this flow. We call the flow with the critical low speed or just the singularity of this flow Entropy Black Hole comparing certain characterizations with physical black hole.