Some path properties of Brownian motion and super-Brownian motion on the Sierpinski gasket

被引：1
作者：
Guo, JY [1 ]
机构：
[1] NANKAI INST MATH,TIANJIN 300071,PEOPLES R CHINA
来源：
ACTA MATHEMATICA SCIENTIA | 1997年 / 17卷 / 02期
关键词：
Brownian motion on Sierpinski gasket; path increment; Super-Brownian motion;
D O I：
10.1016/S0252-9602(17)30829-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study in this paper the path properties of the Brownian motion and super-Brownian motion on the fractal structure-the Sierpinski gasket. At first some results about the limiting behaviour of its increments are obtained and a kind of law of iterated logarithm is proved. Then A Lower bound of the spreading speed of its corresponding super-Brownian motion is obtained.
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收藏
页码：143 / 150
页数：8
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