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报告题目: A growth-fragmentation-isolation process on random recursive trees.
报 告 人: 顾陈琳 博士
报告人所在单位: 上海纽约大学
报告日期: 2021-11-24
报告时间: 15:30-16:30
报告地点: 光华东主楼1601室
   
报告摘要:

We consider a random process on recursive trees, with three types of events. Vertices give birth at a constant rate (growth), each edge may be removed independently (fragmentation of the tree) and clusters are frozen with a rate proportional to their size (isolation of connected component). A phase transition occurs when the isolation is able to stop the growth fragmentation process and cause extinction. When the process survives, we characterize its growth and prove that the empirical measure of clusters a.s. converges to a limit law on recursive trees. This approach exploits the branching structure associated to the size of clusters, which is inherited from the splitting property of random recursive trees. Our model is motivated by the control of epidemics and contact-tracing where clusters correspond to subtrees of infected individuals that can be identified and isolated. This talk is based on a joint work with Vincent Bansaye and Linglong Yuan.

11-24海报.pdf


   
本年度学院报告总序号: 309

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