Linear and uniform in time bound for the binary branching model with Moran type interactions
Probability
2025-01-31 v1
Abstract
In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve, reproduce and die independently and, with a probability that may depend on the configuration of the whole system, the death of a particle may trigger the reproduction of another particle, while a branching event may trigger the death of another particle. We recall its relation to the Feynman-Kac semigroup of the underlying Markov evolution and improve on the L 2 distance between their normalisations proved in [8], when additional regularity is assumed on the process.
Cite
@article{arxiv.2501.18208,
title = {Linear and uniform in time bound for the binary branching model with Moran type interactions},
author = {A M G Cox and E Horton and D Villemonais},
journal= {arXiv preprint arXiv:2501.18208},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2207.03323