Branching processes in correlated random environment
Probability
2019-03-28 v1
Abstract
We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the n-th generation. Moreover, when the environment is given by fractional Brownian motion, we estimate also the tail of progeny as well as the tail of width.
Cite
@article{arxiv.1903.11338,
title = {Branching processes in correlated random environment},
author = {Xinxin Chen and Nadine Guillotin-Plantard},
journal= {arXiv preprint arXiv:1903.11338},
year = {2019}
}