33 citations · 131 across the 23 of their papers we have counts for
10 papers · 1 filter
On the rate of convergence in quenched Voronoi percolation
Daniel Ahlberg, Daniel de la Riva, Simon Griffiths
Position points uniformly at random in the unit square , and consider the Voronoi tessellation of corresponding to the set of points. Toss a fair coin for each cell…
To fixate or not to fixate in two-type annihilating branching random walks
Daniel Ahlberg, Simon Griffiths, Svante Janson
We study a model of competition between two types evolving as branching random walks on . The two types are represented by red and blue balls respectively, with the r…
Competition in growth and urns
Daniel Ahlberg, Simon Griffiths, Svante Janson +1
We study survival among two competing types in two settings: a planar growth model related to two-neighbour bootstrap percolation, and a system of urns with graph-based interaction…
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…
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…
Explosion and linear transit times in infinite trees
Omid Amini, Luc Devroye, Simon Griffiths +1
Let be an infinite rooted tree with weights assigned to its edges. Denote by the minimum weight of a path from the root to a node of the th generation. We con…