数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (2): 121-126.

• 论文 •    下一篇

Some Central Limit Theroy for Super Brownian Motion

 李增沪   

  1. Department of Mathematics,Beijing Normal University,Beijing,100875,China
  • 收稿日期:1997-04-21 出版日期:1999-06-03 发布日期:1999-06-03
  • 基金资助:

    Supported by the NNSFC(19361060)and the Mathematical center of the State Education Commition of China

Some Central Limit Theroy for Super Brownian Motion

 LI Ceng-Hu   

  1. Department of Mathematics,Beijing Normal University,Beijing,100875,China
  • Received:1997-04-21 Online:1999-06-03 Published:1999-06-03
  • Supported by:

    Supported by the NNSFC(19361060)and the Mathematical center of the State Education Commition of China

摘要:

The aurhot proves a central limt theory for the critical super Brown Motions,which leads to a Gaussisan random field.In the transent case the limit filed  is the same as that obtained by Dawson(1977).In the recurrent case it is a spatial uniforn field. The author also give a central limit theory for the weighed occupation time of the supper Brownian motion with underlying dimension nimber d<=3.completing the results of Iscoe(1986).

关键词: Super Brownian motion, weighted occupation time, central linit theroem

Abstract:

The aurhot proves a central limt theory for the critical super Brown Motions,which leads to a Gaussisan random field.In the transent case the limit filed  is the same as that obtained by Dawson(1977).In the recurrent case it is a spatial uniforn field. The author also give a central limit theory for the weighed occupation time of the supper Brownian motion with underlying dimension nimber d<=3.completing the results of Iscoe(1986).

Key words: Super Brownian motion, weighted occupation time, central linit theroem

中图分类号: 

  • 60J80