Geodesic
A Scaling Limit Theorem for Galton--Watson Processes in Varying Environments
Informatics and Automation, Branching Processes and Related Topics, Tome 316 (2022), pp. 145-168.

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We prove a scaling limit theorem for discrete Galton–Watson processes in varying environments. A simple sufficient condition for the weak convergence in the Skorokhod space is given in terms of probability generating functions. The limit theorem gives rise to the continuous-state branching processes in varying environments studied recently by several authors.
Keywords: Galton–Watson processes, continuous state, varying environments, probability generating functions, scaling limits. 
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Rongjuan Fang; Zenghu Li; Jiawei Liu. A Scaling Limit Theorem for Galton--Watson Processes in Varying Environments. Informatics and Automation, Branching Processes and Related Topics, Tome 316 (2022), pp. 145-168. http://geodesic.mathdoc.fr/item/TRSPY_2022_316_a10/

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