State Descomposition of Superprocesses of Stochastic Flows

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (3): 406-415.

State Descomposition of Superprocesses of Stochastic Flows

Department of Mathematics, Shangqiu Normal College, Shangqiu 476000, China; Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China

Received:2005-12-30 Online:2006-09-30 Published:2023-11-29
About author:ZHAO Qiao-ling(1971-),female,native of Shangqiu,Henan,a lecturer of Shangqiu Normal College,M.S.D.,engages in probability.
Supported by:
Supported by the Nature Science Foundation of Henan(2004601018)；

Abstract

Abstract: In this paper, we reconstruct the superprocesses of stochastic flows by martingale method, and prove that if and only if the infinitesimal particles never hit each other, then atomic part and diffuse part of this kind of superprocesses will be also superprocesses of stochastic flows. This result completely answers the open problem in [1].

Key words: superprocesses, stochastic , flows, martingale , method, martingale , problem, state decomposition

CLC Number:

I
O211.6

ZHAO Qiao-ling, LIU Xiao-shu, YAN Guo-jun . State Descomposition of Superprocesses of Stochastic Flows[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 406-415.

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State Descomposition of Superprocesses of Stochastic Flows

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