Percolation theory examines the emergence of connected clusters in systems composed of randomly occupied sites or bonds, making it an invaluable framework for understanding phase transitions in ...

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 ...

The aim of this course is to explore percolation theory and its role in understanding the geometry of Cayley graphs, as well as more general classes of graphs. Percolation is a fundamental stochastic ...