Yu, Jinghu; Xu, Fang Some properties of Galton-Watson branching processes in varying environments. (English) Zbl 1240.60231 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 4, 1105-1114 (2010). Summary: This article deals with some properties of Galton-Watson branching processes in varying environments. A necessary and sufficient condition for the relative recurrent state is presented, and a series of ratio limit properties of the transition probabilities are shown. Cited in 2 Documents MSC: 60J80 Branching processes (Galton-Watson, birth-and-death, etc.) Keywords:branching processes; varying environments; non-homogeneous; relative recurrent; transition probability; ratio theorem PDF BibTeX XML Cite \textit{J. Yu} and \textit{F. Xu}, Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 4, 1105--1114 (2010; Zbl 1240.60231) Full Text: DOI