Multi-type Galton-Watson processes in dynamical environments

Thomas Morand

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arXiv · 2607.09314

Multi-type Galton-Watson processes in dynamical environments

Thomas Morand

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Abstract

We define a model of multi-type Galton-Watson processes in dynamical environments where the environment evolves according to a dynamical system (X,T). Three behaviours are possible: uniformly subcritical, critical, and uniformly supercritical. We provide a criterion to determine the regime of a multi-type Galton-Watson process in dynamical environments. We study the continuity of the probability of extinction q in the uniformly supercritical case.

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Thomas Morand. 2026-07-10. Multi-type Galton-Watson processes in dynamical environments. https://arxiv.org/abs/2607.09314

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