The Annals of Applied Probability, Vol. 3, No. 1 (Feb., 1993), pp. 56-80 (25 pages) Consider first-passage percolation on Zd. A classical result says, roughly speaking, that the shortest travel time ...

Percolation theory constitutes a cornerstone of statistical physics, offering a framework to understand how local connectivity in systems gives rise to macroscopic phase transitions. Originally ...

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 ...

A concept known as 'percolation' is helping microbiologists explain how communities of bacteria can effectively relay signals across long distances. Once regarded as a simple cluster of microorganisms ...