Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 667-678.

• Articles • Previous Articles     Next Articles

Critical Superprocess Dependent |on Population Size

 YAN Guo-Jun   

  1. 汕头大学数学系 汕头 515063
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    国家自然科学基金(编号A10071008)及博士点基金资助项目

Abstract:

In this paper, the authors study the limiting behavior of large branching part icle systems whose branching mechanism depends on  population size. These systems wea kly converge to a superprocess and it can be characterized as the unique soluti on of a martingale problem. The proof of the uniqueness for the martingale problem requi res  “randomization” of culminant semigroup of superprocesses.

Key words: Superprocesses; Branching mechanism dependent on popula tion size; Martingale problem

CLC Number: 

  • 60J80
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