A scaling limit theorem for Galton-Watson processes in varying environments
arXiv:2204.06339 · doi:10.1134/S0081543822010114
Abstract
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.
This is a preliminary version of the paper published in Proc. Steklov Inst. Math. 316 (2022)