Random graph models provide a mathematical framework for capturing the structure and dynamics of complex networks by assigning probabilistic rules to vertex connections. Classical models such as the ...

Researchers are uncovering the hidden laws that reveal how the Internet grows, how viruses spread, and how financial bubbles burst. Last week, United Airlines grounded nearly 5,000 flights when its ...

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 ...