THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT (I): MODEL, MARKOV PROPERTY, MOMENTS

doi:10.1016/S0252-9602(10)60160-9

摘要/Abstract

摘要：

There are three parts in this article. In Section 1, we establish the model of branching chain with drift in space-time random environment (BCDSTRE), i.e., the coupling of branching chain and random walk. In Section 2, we prove that any BCDSTRE must be a Markov chain in
time random environment when we consider the distribution of the particles in space as a random element. In Section 3, we calculate the first-order moments and the second-order moments of BCDSTRE.

关键词: branching chain with drift in space-time random environment, random branching generating function, local random transition generating function, random drift law, random branching law

Abstract:

Key words: branching chain with drift in space-time random environment, random branching generating function, local random transition generating function, random drift law, random branching law

中图分类号:

60J27

胡迪鹤, 胡晓予. THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT (I): MODEL, MARKOV PROPERTY, MOMENTS[J]. 数学物理学报(英文版), 2010, 30(5): 1669-1678.

HU Di-He, HU Xiao-Yu. THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT (I): MODEL, MARKOV PROPERTY, MOMENTS[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1669-1678.

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THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT (I): MODEL, MARKOV PROPERTY, MOMENTS

THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT (I): MODEL, MARKOV PROPERTY, MOMENTS

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