Yaglom limit for critical neutron transport
报告题目(Title)：Yaglom limit for critical neutron transport
报告人(Speaker)：王旼旼 (University of Sussex)
地点(Place)：Zoom: 835 447 785 60 ( 密码: 123 456)
时间(Time)：2021年11月8日 (周一) 下午4:00-5:00
邀请人(Inviter)：何辉
报告摘要
In this talk, we will look at spatial branching processes with non local branching mechanisms. A typical example of such processes is given by the neutron branching process, which emulates the dynamics of neutrons inside a nuclear reactor core. Under mild conditions, it can be shown that such a system has a growth rate, say $\lambda$. Our main results extend the classical Kolmogorov's Theorem and Yaglom's Theorem to the neutron branching processes in the critical case (i.e. $\lambda=0$). We will discuss the challenges posed by the non local branching mechanisms in proving these results and how we can get around them.
This is based on a joint work with Simon Harris, Emma Horton and Andreas Kyprianou (arXiv:2103.02237).
