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 ...

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 ...

Barbara Dembin is standing in front of the blackboard in her office in the ETH Main Building, drawing a circle with bumps and dents with chalk – the outline of a rock. “How does water permeate the ...