241 citations · 605 across the 54 of their papers we have counts for
64 papers
The work of Hugo Duminil-Copin
Geoffrey R. Grimmett
This article is an account of the scientific work of Hugo Duminil-Copin at the time of his award in 2022 of the Fields Medal "for solving longstanding problems in the probabilistic…
Selected problems in probability theory
Geoffrey R. Grimmett
This celebratory article contains a personal and idiosyncratic selection of a few open problems in discrete probability theory. These include certain well known questions concernin…
Percolation critical probabilities of matching lattice-pairs
Geoffrey R. Grimmett, Zhongyang Li
A necessary and sufficient condition is established for the strict inequality between the critical probabilities of site percolation on a quasi-transitive, plane…
Hyperbolic site percolation
Geoffrey R. Grimmett, Zhongyang Li
Several results are presented for site percolation on quasi-transitive, planar graphs with one end, when properly embedded in either the Euclidean or hyperbolic plane. If $(G_1…
Brownian snails with removal: epidemics in diffusing populations
Geoffrey R. Grimmett, Zhongyang Li
Two stochastic models of susceptible/infected/removed (SIR) type are introduced for the spread of infection through a spatially-distributed population. Individuals are initially di…
Harry Kesten's work in probability theory
Geoffrey R. Grimmett
We survey the published work of Harry Kesten in probability theory, with emphasis on his contributions to random walks, branching processes, percolation, and related topics. A comp…