@article{bollobas2015nucleation,
author = "B{\'e}la Bollob{\'a}s and Simon Griffiths and Robert Morris and Leonardo Rolla and Paul Smith",
abstract = "We consider a dynamical process on a graph {\$}G{\$}, in which vertices are infected (randomly) at a rate which depends on the number of their neighbours that are already infected. This model includes bootstrap percolation and first-passage percolation as its extreme points. We give a precise description of the evolution of this process on the graph {\$}\backslashmathbb{\{}Z{\}}{\^{}}2{\$}, significantly sharpening results of Dehghanpour and Schonmann. In particular, we determine the typical infection time up to a constant factor for almost all natural values of the parameters, and in a large range we obtain a stronger, sharp threshold.",
number = "317532",
title = "{N}ucleation and growth in two dimensions",
url = "http://arxiv.org/abs/1508.06267",
year = "2015",
}