Multi-type Galton-Watson processes in dynamical environments
arXiv:2607.09314
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.