2 papers
math.PR2026
Threatening excursions in large population quasi-stationary birth and death systems. On a question of Antonio Galves
Pierre Collet, Servet MartÃnez, Sylvie Méléard
We consider time continuous multispecies birth and death processes in a regime of large populations. The jump rates depend on a large scaling parameter K modeling the charge capaci…
math.PR2025
Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes
Pierre Collet, Sylvie Méléard, Jaime San
In this article we study the long time behaviour of measure-valued birth and death processes in continuous time, where the dynamics between jumps are one-dimensional Markov process…