数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 178-187.

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分支依赖于人口总数的具有交互作用的超布朗运动

  

  1. Department of Mathematics,Zhengzhou University

  • 收稿日期:2007-01-06 出版日期:2008-06-30 发布日期:2023-09-27
  • 作者简介: CHEN Li(1968-), female, native of Zhengzhou, Henan, an associate professor of Zhengzhou Teacher’s College, M.S.D., engages in probability
  • 基金资助:
     Supported by National Natural Science Foundation of China(A10071008)

Interacting Super-Brownian Motions Depending on Population Size

  1. Department of Mathematics,Zhengzhou University
  • Received:2007-01-06 Online:2008-06-30 Published:2023-09-27
  • About author: CHEN Li(1968-), female, native of Zhengzhou, Henan, an associate professor of Zhengzhou Teacher’s College, M.S.D., engages in probability
  • Supported by:
     Supported by National Natural Science Foundation of China(A10071008)

摘要: In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism depending on their population size. We will construct a limit function-valued dual process.

关键词: superprocess, Brownian sheet, martingale problem, limit dual process

Abstract: In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism depending on their population size. We will construct a limit function-valued dual process.

Key words: superprocess, Brownian sheet, martingale problem, limit dual process

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