2 papers
math.PR2026
A shape theorem for periodic branching diffusion
Arturo Arellano Arias
We prove a shape theorem for a multidimensional periodic branching diffusion, which is a branching particle system where particle trajectories evolve according to a diffusion, drif…
math.PR2025
A shape theorem for BBM in a periodic environment
Louigi Addario-Berry, Arturo Arellano Arias, Jessica Lin
We consider the long-time behaviour of binary branching Brownian motion (BBM) where the branching rate depends on a periodic spatial heterogeneity. We prove that almost surely as $…