2 papers
math.PR2025
Critical non-local spatial branching processes with infinite variance conditioned on survival
Natalia Cardona-Tobón, Andreas E. Kyprianou, Pedro Martín-Chávez
We consider the setting of either a general non-local branching particle process or a general non-local superprocess. Under the assumption that the mean semigroup has a Perron-Frob…
math.PR2025
The coalescent of a sample from a linear-fractional branching process
Natalia Cardona-Tobón, Sandra Palau
In this article, we focus on Bienaymé-Galton-Watson processes with linear-fractional offspring distributions. At a fixed generation, we consider a sample of the individuals alive,…