2 citations · 4 across the 4 of their papers we have counts for
3 papers · 1 filter
The critical length for growing a droplet
Paul Balister, Béla Bollobás, Robert Morris +1
In many interacting particle systems, relaxation to equilibrium is thought to occur via the growth of 'droplets', and it is a question of fundamental importance to determine the cr…
Universality for monotone cellular automata
Paul Balister, Béla Bollobás, Robert Morris +1
In this paper we study monotone cellular automata in dimensions. We develop a general method for bounding the growth of the infected set when the initial configuration is chose…
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…