A probabilistic view on the long-time behaviour of growth-fragmentation semigroups with bounded fragmentation rates
A probabilistic view on the long-time behaviour of growth-fragmentation semigroups with bounded fragmentation rates
The growth-fragmentation equation models systems of particles that grow and reproduce as time passes. An important question concerns the asymptotic behaviour of its solutions. Bertoin and Watson (2018) developed a probabilistic approach relying on the Feynman-Kac formula, that enabled them to answer to this question for sublinear growth rates. This …