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.

引用

页码：143 / 150

页数：8

共 16 条

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