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讲准字217号:subordinate Brownian motion

亚游官网登录:2016-10-17|浏览次数:

题目:subordinate Brownian motion

主讲:宋仁明

时间:10月21日15:30

地点:理学院4楼

主办:理学院


 

主讲概况:宋仁明,伊利诺伊大学教授。研究专长:布朗运动。于1993年在佛罗里达大学数学系取得博士学位。现就职于伊利诺伊大学数学系。 已发表学术论文百余篇,专著1部。现任伊利诺伊数学杂志主编,加拿大自然科学与工程技术研究理事会(NSERC)数学与统计评审委员会成员。

主讲内容:A subordinate Brownian motion can be obtained by replacing the time parameter of a Brownian motion by an independent increasing Levy process(i. e., a subordinator). Subordinate Brownian motions form a large subclass of Levy processes and they are very important in various applications. The generator of of a subordinate Brownian motion is a function of the Laplacian. In this talk, I will give a survey of some of the recent results in the study of the potential theory of subordinate Brownian motions.In particular, I will present recent results on sharp two-sided estimates on the transition densities of killed subordinate Brownian motions in smooth open sets, or equivalently, sharp two-sided estimates on the Dirichlet heat kernels of the generators of subordinate Brownian motions.


 

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