66 citations · 129 across the 23 of their papers we have counts for
29 papers
Accessibility Percolation with Rough Mount Fuji labels
Diana De Armas Bellon, Matthew I. Roberts
Consider an infinite, rooted, connected graph where each vertex is labelled with an independent and identically distributed Uniform(0,1) random variable, plus a parameter times…
Asymptotics for the growth of the infinite-parent Spatial Lambda-Fleming-Viot model
Apolline Louvet, Matthew I. Roberts
The infinite-parent spatial Lambda-Fleming-Viot (SLFV) process is a model of random growth, in which a set evolves by the addition of balls according to points of an underlying Poi…
The probability of unusually large components for critical percolation on random -regular graphs
Umberto De Ambroggio, Matthew I. Roberts
Let be a fixed integer, , and let be a positive integer such that is even. Let be a (random) graph on vertices obtaine…
A spatially-dependent fragmentation process
Alice Callegaro, Matthew I. Roberts
We define a spatially-dependent fragmentation process, which involves rectangles breaking up into progressively smaller pieces at rates that depend on their shape. Long, thin recta…
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…
Unusually large components in near-critical Erdős-Rényi graphs via ballot theorems
Umberto De Ambroggio, Matthew I. Roberts
We consider the near-critical Erdős-Rényi random graph and provide a new probabilistic proof of the fact that, when is of the form and is la…