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发表时间:2020-09-16 阅读次数:258次
报告题目: Distorted Brownian motions on space with varying dimension
报 告 人:李利平
报告人所在单位:中国科学院数学与系统科学研究院
报告日期:2020-09-16 星期三
报告时间:15:15-16:30
报告地点:腾讯会议ID: 961 627 405
  
报告摘要:

Roughly speaking, a space with varying dimension consists of at least two components with different dimensions. In this talk we will concentrate on the one, which can be treated as $\mathbb{R}^3$ joining a half line not contained by $\mathbb{R}^3$ at the origin. The aim is twofold. On one hand, we will introduce so-called distorted Brownian motions on this space with varying dimension (dBMVDs in abbreviation) and study their basic properties by means of Dirichlet forms. On the other hand, we will prove the joint continuity of the transition density functions of these dBMVDs and derive the short-time heat kernel estimates for them. This talk is based on a recent work (arXiv: 2008.06734) joint with Dr. Shuwen Lou at Loyola University Chicago.

 

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