The Annals of Applied Probability, Vol. 23, No. 3 (June 2013), pp. 1074-1085 (12 pages) We construct an edge-weight distribution for i.i.d. first-passage percolation on ℤ 2 whose limit shape is not a ...

We consider a stochastic SIR (susceptible → infective → recovered) epidemic defined on a configuration model random graph, in which infective individuals can infect only their neighbours in the graph ...