1 citations · 3 across the 8 of their papers we have counts for
7 papers · 1 filter
Fluctuations for fully pushed stochastic fronts
Alison Etheridge, Raphaël Forien, Thomas Hughes +1
We study the asymptotic behaviour, in the small noise limit, of stochastic travelling wave solutions to reaction-diffusion equations perturbed by Wright-Fisher noise. Such equation…
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…
Branching Brownian motion with decay of mass and the non-local Fisher-KPP equation
Louigi Addario-Berry, Julien Berestycki, Sarah Penington
In this work we study a non-local version of the Fisher-KPP equation, \begin{equation*} \begin{cases} \frac{\partial u}{\partial t}=\tfrac{1}{2}Δu +u (1- ϕ\ast u), \quad t>0, \quad…