Bootstrap percolation models have been extensively studied during the two past decades. In this article, we study the following "anisotropic" bootstrap percolation model: the neighborhood of a point ...

A polymer cross-linking system undergoes a phase transition from liquid to solid at a critical point, which is called the sol-gel transition. The sol-gel transition is often understood in the context ...

The Annals of Applied Probability, Vol. 22, No. 5 (October 2012), pp. 1989-2047 (59 pages) Bootstrap percolation on the random graph G n,p is a process of spread of "activation" on a given realization ...

With Hugo Duminil-Copin, thinking rarely happens without moving. His insights into the flow-related properties of complex networks have earned him the Fields Medal. The math department at the ...