报告题目:Renormalization of local times of super-Brownian motion

报告人：Dr. Jieliang Hong

报告时间：下午3:30-4:30

报告地点：理学院2楼活动中心

 题目：Renormalization of local times of super-Brownian motion
摘要：For the local time $L_t^x$ of super-Brownian motion $X$ starting from $delta_0$, we study its asymptotic behavior as $xto 0$. In $d=3$, we find a normalization $psi(x)=((2pi^2)^{-1} log (1/|x|))^{1/2}$ such that $(L_t^x-(2pi|x|)^{-1})/psi(x)$ converges in distribution to standard normal as $xto 0$. In $d=2$, we show that $L_t^x-pi^{-1} log (1/|x|)$ converges a.s. as $xto 0$. We also consider general initial conditions and get some renormalization results. The behavior of the local time allows us to derive a second order term in the asymptotic behavior of a related semilinear elliptic equation.
报告人：Dr. Jieliang Hong, University of British Columbia, whose supervisor is Prof. Edwin Perkins.  Before coming to UBC he got his bachelor degree in Mathematics from Peking University. He is broadly interested in probability theory and its applications. Recently he has  been working on measure-valued diffusions, in particular the local time of super-Brownian motion.

时间：5月8日（星期二），下午3:30-4:30。地点：理学院2楼活动中心。