随机流的超过程的状态分解

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 406-415.

随机流的超过程的状态分解

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

收稿日期:2005-12-30 出版日期:2006-09-30 发布日期:2023-11-29
作者简介:ZHAO Qiao-ling(1971-),female,native of Shangqiu,Henan,a lecturer of Shangqiu Normal College,M.S.D.,engages in probability.
基金资助:
Supported by the Nature Science Foundation of Henan(2004601018)；

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)；

摘要/Abstract

摘要： 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].

关键词: superprocesses, stochastic , flows, martingale , method, martingale , problem, state decomposition

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

中图分类号:

I
O211.6

赵巧玲, 刘孝书, 阎国军. 随机流的超过程的状态分解[J]. 数学季刊, 2006, 21(3): 406-415.

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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