An asymptotic shape theorem for additive random linear growth models
Probability
2025-11-04 v4
Abstract
In this paper, we define a class of additive random growth models whose growth is at least and at most linear and prove an asymptotic shape theorem for these models. This proof generalizes already known proofs for the classical contact process or some of its variants and allows us to obtain conjectured asymptotic shape theorems for Richardson's model with stirring and the contact process with stirring.
Cite
@article{arxiv.1505.05000,
title = {An asymptotic shape theorem for additive random linear growth models},
author = {Aurelia Deshayes and Pierrick Siest},
journal= {arXiv preprint arXiv:1505.05000},
year = {2025}
}