Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (3): 9-17.

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Asymptotic Behavior of Super Brownian Motion

  

  1.  北京师范大学数学系郑州大学系统科学与数学系 北京100875河南郑州450052 
  • Received:2001-07-16 Online:2002-09-30 Published:2024-04-26
  • About author:YAN Guo-jun(1969-)‚male‚native of Zhengzhou‚Henan‚Ph.D.‚engages in probability;MA Jian-guo (1963-)‚male‚native of Xingyang‚Henan‚Ph.D‚engages in analysis.
  • Supported by:
     Supported by the National Natural Science Foundation of China(A10071008).

Abstract: 本文证明了在一般的初始测度下 ,Dawson所获得的临界超布朗运动的渐近定理并不成立。对于一般分支特征的临界的超布朗运动以及一般寝始测度 ,本文获得了它的渐近行为的阶的两个估计

Key words:  , 超布朗运动, 上鞅不等式, 临界分支机制,  ,

CLC Number: