Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (2): 121-126.

• Articles •     Next Articles

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

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

CLC Number: 

  • 60J80
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