An asymptotic shape theorem for additive random linear growth models

Aurelia Deshayes; Pierrick Siest

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arXiv · 1505.05000

An asymptotic shape theorem for additive random linear growth models

Aurelia Deshayes·Pierrick Siest

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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.

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Aurelia Deshayes, Pierrick Siest. 2015-05-19. An asymptotic shape theorem for additive random linear growth models. https://arxiv.org/abs/1505.05000

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