SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (2): 143-150.

SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET

郭军义

Nankai Institute of Mathematics, Tianjin 300071, China

收稿日期:1995-11-13 修回日期:1996-03-15 出版日期:1997-06-25 发布日期:1997-06-25
基金资助:
Research Supported by Tianyuan Foundation and Postdoctorial Foundation of P. R. China.

SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET

Guo Junyi

Nankai Institute of Mathematics, Tianjin 300071, China

Received:1995-11-13 Revised:1996-03-15 Online:1997-06-25 Published:1997-06-25
Supported by:
Research Supported by Tianyuan Foundation and Postdoctorial Foundation of P. R. China.

摘要/Abstract

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.

关键词: Brownian motion on Sierpinski gasket, Path Increment, Super-Brownian motion

Abstract: 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.

Key words: Brownian motion on Sierpinski gasket, Path Increment, Super-Brownian motion

郭军义. SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET[J]. 数学物理学报(英文版), 1997, 17(2): 143-150.

Guo Junyi. SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET[J]. Acta mathematica scientia,Series B, 1997, 17(2): 143-150.

[1]	李炳章, 余旌胡. ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF \|SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION[J]. 数学物理学报(英文版), 1999, 19(3): 272-278.
[2]	杨春鹏. ON POSITIVE SOLUTIONS OF ONE CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 1996, 16(4): 469-476.

SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET

SOME PATH PROPERTIES OF BROWNIAN MOTION AND SUPER-BROWNIAN MOTION ON THE SIERPINSKI GASKET

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