哈尔滨工业大学（深圳）学术讲座

演讲人Speaker：     何 辉

题目Title:  Brownian CRTS conditioned to be large

时间Date： 2024 年 7 月  18 日       Time：11:00 – 12:00

地点Venue： 腾讯会议 705 292 198

内容摘要Abstract： 

We consider a Feller diffusion and we study the limit in distribution of the conditioned process and of its genealogical tree. We obtain a new diffusion, as already proved by Overbeck in 1994 for some special case. We give a new representation of this diffusion using an elementary SDE with a Poisson  immigration. The corresponding genealogical tree is described by an infinite discrete skeleton (which does not satisfy the branching property) decorated with Brownian continuum random trees given by a Poisson point measure. As a by-product of this study, we introduce several sets of trees endowed with a Gromov-type distance which are of independent interest and which allow here to define in a formal and measurable way the decoration of a backbone with a family of continuum random trees.

个人简介(About the speaker):

何辉，北京师范大学教授，主要从事分枝过程及相关随机树的研究，在Probability Theory and Related Fields、Bernoulli、Annales de l'Institut Henri Poincare等杂志发表学术论文20余篇，主持多项国家自然科学基金。