1 citations · 3 across the 6 of their papers we have counts for
8 papers
A branching process with deletions and mergers that matches the threshold for hypercube percolation
Laura Eslava, Sarah Penington, Fiona Skerman
We define a graph process based on a discrete branching process with deletions and mergers, which is inspired by the 4-cycle structure of both the hypercube $Q_d…
Genealogy and spatial distribution of the -particle branching random walk with polynomial tails
Sarah Penington, Matthew I. Roberts, Zsófia Talyigás
The -particle branching random walk is a discrete time branching particle system with selection. We have particles located on the real line at all times. At every time step…
Genealogies in bistable waves
Alison Etheridge, Sarah Penington
We study a model of selection acting on a diploid population (one in which each individual carries two copies of each gene) living in one spatial dimension. We suppose a particular…
Brownian bees in the infinite swarm limit
Julien Berestycki, Eric Brunet, James Nolen +1
The Brownian bees model is a branching particle system with spatial selection. It is a system of particles which move as independent Brownian motions in and inde…
A free boundary problem arising from branching Brownian motion with selection
Julien Berestycki, Éric Brunet, James Nolen +1
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem a…
Global existence for a free boundary problem of Fisher-KPP type
Julien Berestycki, Eric Brunet, Sarah Penington
Motivated by the study of branching particle systems with selection, we establish global existence for the solution of the free boundary problem \[ \begin{cases} \partial_t…