33 citations · 131 across the 23 of their papers we have counts for
4 papers · 1 filter
Nucleation and growth in two dimensions
Béla Bollobás, Simon Griffiths, Robert Morris +2
We consider a dynamical process on a graph , in which vertices are infected (randomly) at a rate which depends on the number of their neighbours that are already infected. This…
Chromatic thresholds in sparse random graphs
Peter Allen, Julia Böttcher, Simon Griffiths +2
The chromatic threshold of a graph with respect to the random graph is the infimum over such that the following holds with high probability: the fam…
Chromatic thresholds in dense random graphs
Peter Allen, Julia Böttcher, Simon Griffiths +2
The chromatic threshold of a graph with respect to the random graph is the infimum over such that the following holds with high probability: the fam…
Quenched Voronoi percolation
Daniel Ahlberg, Simon Griffiths, Robert Morris +1
We prove that the probability of crossing a large square in quenched Voronoi percolation converges to 1/2 at criticality, confirming a conjecture of Benjamini, Kalai and Schramm fr…