A scaling limit theorem for Galton-Watson processes in varying environments
Probability
2022-04-14 v1
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.
Cite
@article{arxiv.2204.06339,
title = {A scaling limit theorem for Galton-Watson processes in varying environments},
author = {Fang Rongjuan and Li Zenghu and Liu Jiawei},
journal= {arXiv preprint arXiv:2204.06339},
year = {2022}
}
Comments
This is a preliminary version of the paper published in Proc. Steklov Inst. Math. 316 (2022)