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SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS |
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| Authors: | Yu Jinghu Xu Fang |
| Institution: | [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 |
| Abstract: | 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. |
| Keywords: | Branching processes varying environments non-homogeneous relative recurrent transition probability ratio theorem |
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