J. Mercer

collaborators

2 papers

math.PR2026

Two-Sided Free Boundary Problems Arising From Branching-Selection Particle Systems

Jacob Mercer

We introduce and analyse a two-sided branching-selection particle system which generalises the well-known $N$ -particle branching Brownian motion ( $N$ -BBM) model, which we call the…

math.PR2024

Critical Drift for Brownian Bees and a Reflected Brownian Motion Invariance Principle

Jacob Mercer

$N$ -Brownian bees is a branching-selection particle system in $R^{d}$ in which $N$ particles behave as independent binary branching Brownian motions, and where at each branc…