17 citations · 35 across the 16 of their papers we have counts for
7 papers · 1 filter
Symmetric Cooperative Motion in Higher Dimensions
Louigi Addario-Berry, Gavin Barill, Hannah Cairns +1
We prove a distributional convergence result for a multidimensional version of symmetric cooperative motion which was introduced and studied in one dimension in \cite{HRW, SCM1}. O…
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 $…
Generalized front propagation for spatial stochastic population models
Thomas Hughes, Jessica Lin
We present a general framework which can be used to prove that, in an annealed sense, rescaled spatial stochastic population models converge to generalized propagating fronts. Our…
The central limit theorem via doubling of variables
Louigi Addario-Berry, Gavin Barill, Erin Beckman +1
We give a new, self-contained proof of the multidimensional central limit theorem using the technique of ``doubling variables," which is traditionally used to prove uniqueness of s…
Symmetric cooperative motion in one dimension
Louigi Addario-Berry, Erin Beckman, Jessica Lin
We explore the relationship between recursive distributional equations and convergence results for finite difference schemes of parabolic partial differential equations (PDEs). We…
Asymmetric cooperative motion in one dimension
Louigi Addario-Berry, Erin Beckman, Jessica Lin
We prove distributional convergence for a family of random processes on , which we call asymmetric cooperative motions. The model generalizes the "totally asymmetric hi…
Barycentric Brownian Bees
Louigi Addario-Berry, Jessica Lin, Thomas Tendron
We establish an invariance principle for the barycenter of a Brunet-Derrida particle system in dimensions. The model consists of particles undergoing dyadic branching Brown…