super-Brownian motion;
local extinction;
catalytic medium;
fractal;
D O I:
暂无
中图分类号:
O189.3 [解析拓扑学];
学科分类号:
070104 ;
摘要:
The Brownian motion and super-Brownian motion on the Sierpinski gasket are studied. Firstly it is proved that the local extinction property is possessed by the super-Brownian motion on this fractal structure. This fact is also true even in the presence of catalyst. Secondly it is proved that the paths of the Brownian motion on the Sierpinski gasket are dense in some sense.
Transition densities for Brownian motion on the Sierpinski carpet[J] . Martin T. Barlow,Richard F. Bass.Probability Theory and Related Fields . 1992 (3)
Transition densities for Brownian motion on the Sierpinski carpet[J] . Martin T. Barlow,Richard F. Bass.Probability Theory and Related Fields . 1992 (3)