Extinction probabilities in branching processes with countably many types: a general framework

Daniela Bertacchi, Peter Braunsteins, Sophie Hautphenne +1

We consider Galton-Watson branching processes with countable typeset $\mathcal{X}$. We study the vectors $\mathbf{q}(A)=(q_x(A){)}_{x\in \mathcal{X}}$ recording the conditional probabili…