Long-time behaviour of Galton-Watson systems with circular mechanism
Probability
2025-10-21 v3
Abstract
This paper concentrates on the limit behavior of discrete-time branching process with circular mechanism. Three types of limit behaviour of discrete-time branching process with circular mechanism are given explicitly under various moment conditions on branching rates. It is proved that the rate of the first one is geometric, while the other two are supergeometric.
Keywords
Cite
@article{arxiv.2404.18478,
title = {Long-time behaviour of Galton-Watson systems with circular mechanism},
author = {Junping Li and Mixuan Hou},
journal= {arXiv preprint arXiv:2404.18478},
year = {2025}
}
Comments
22 pages