Title：On the favorite points of symmetric Lévy processes 

Speaker：杨小椽  （新加坡国立大学）

Time：2019年4月23日     下午  16:30-17:30

Room：东区管理科研楼  0029cc金沙贵宾会1208室

Abstract：The local time is a random field indexed by time and space, arising as the density of the occupation measure of a stochastic process.  At fixed $t$, the local time as a spatial process atteins its maximum at certain points, called favorite points till time $t$. In this talk, I will discuss the asymptotic behavior of the favorite points of certain symmetric Levy processes. The fundamental tool is the generalized Ray-Knight theorem proved by Eisenbaum-Marcus-Rosen-Shi in 2000. Based on a joint work with Bo Li (Wuhan) and Yimin Xiao (East Lansing).