ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF |SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (3): 272-278.

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF |SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

李炳章, 余旌胡

Department of Mathematics, Wuhan University, Wuhan 430072, China Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences,
Wuhan 430071, China

收稿日期:1997-06-02 修回日期:1997-08-22
基金资助:
Support by the National Nature Science Foundation of China

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF |SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

LI Bing-Zhang, TU Jing-Hu

Department of Mathematics, Wuhan University, Wuhan 430072, China Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences,
Wuhan 430071, China

Received:1997-06-02 Revised:1997-08-22
Supported by:
Support by the National Nature Science Foundation of China

摘要/Abstract

摘要：

This paper investigates the property of super-Brownian motion
conditioned on non-extinction. The authors obtain a representation of Laplace
functional
for the weighted occupation time of this class of processes. By this, they get
a result about the distribution of the support of it.

关键词: Super-Brownian motion, non-extinction, weighted occupation, the support of measure

Abstract:

Key words: Super-Brownian motion, non-extinction, weighted occupation, the support of measure

中图分类号:

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.

LI Bing-Zhang, TU Jing-Hu. ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF |SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION[J]. Acta mathematica scientia,Series B, 1999, 19(3): 272-278.

[1]	张静; 任艳霞. ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES[J]. 数学物理学报(英文版), 2006, 26(2): 358-370.
[2]	李增沪. Some Central Limit Theroy for Super Brownian Motion[J]. 数学物理学报(英文版), 1999, 19(2): 121-126.
[3]	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.
[4]	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.

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF |SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF |SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

Metrics

本文评价

推荐阅读 0