2 papers
math.PR2026
Sharp condition for supercritical Galton-Watson processes with countable types
Mathilde André, Jean-Jil Duchamps
We investigate Kesten-Stigum-like results for multi-type Galton-Watson processes with a countable number of types in a general setting, allowing us in particular to consider proces…
math.PR2026
Moments of density-dependent branching processes and their genealogy
Mathilde André, Félix Foutel-Rodier, Emmanuel Schertzer
A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can…