Reinforced Galton-Watson processes II: Large time behaviors
Probability
2024-08-15 v3
Abstract
Reinforced Galton-Watson processes have been introduced in arxiv:2306.02476 as population models with non-overlapping generations, such that reproduction events along genealogical lines can be repeated at random. We investigate here some of their sample path properties such as asymptotic growth rates and survival, for which the effects of reinforcement on the evolution appear quite strikingly.
Keywords
Cite
@article{arxiv.2310.19030,
title = {Reinforced Galton-Watson processes II: Large time behaviors},
author = {Jean Bertoin and Bastien Mallein},
journal= {arXiv preprint arXiv:2310.19030},
year = {2024}
}
Comments
22 pages, 1 figure