Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (3): 272-278.

• Articles • Previous Articles     Next Articles

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

 LI Bing-Zhang, TU Jing-Hu   

  1. 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

Abstract:

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.   

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

CLC Number: 

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