SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS

doi:10.1016/S0252-9602(10)60108-7

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1105-1114.doi: 10.1016/S0252-9602(10)60108-7

SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS

余旌胡¹, 许芳²

1. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China
State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China; 2. Wuhan Institute of Physics and Mathematics, |the Chinese Academy of Sciences, Wuhan 430071, China
Graduate School of the Chinese Academy of Sciences, |Beijing 100039, China

收稿日期:2007-12-30 修回日期:2008-07-10 出版日期:2010-07-20 发布日期:2010-07-20
基金资助:
This article are supported by NNSF of China (60534080, 70571079) and Open Fundation of SKLSE of Wuhan University (2008-07-03)

SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS

YU Jing-Hu¹, XU Fang²

1. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China
State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China; 2. Wuhan Institute of Physics and Mathematics, |the Chinese Academy of Sciences, Wuhan 430071, China
Graduate School of the Chinese Academy of Sciences, |Beijing 100039, China

Received:2007-12-30 Revised:2008-07-10 Online:2010-07-20 Published:2010-07-20
Supported by:
This article are supported by NNSF of China (60534080, 70571079) and Open Fundation of SKLSE of Wuhan University (2008-07-03)

摘要/Abstract

摘要：

This article deals with some properties of Galton-Watson branching processes in varying environments. A
necessary and sufficient condition for relative recurrent state is presented, and a series of ratio limit properties of the transition probabilities are showed.

关键词: Branching processes, varying environments, non-homogeneous, relative recurrent, transition probability, ratio theorem

Abstract:

Key words: Branching processes, varying environments, non-homogeneous, relative recurrent, transition probability, ratio theorem

中图分类号:

60Q17

余旌胡, 许芳. SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS[J]. 数学物理学报(英文版), 2010, 30(4): 1105-1114.

YU Jing-Hu, XU Fang. SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS[J]. Acta mathematica scientia,Series B, 2010, 30(4): 1105-1114.

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SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS

SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS

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