Stochastic geometry combines probabilistic methods with classical geometry to investigate random spatial structures. At its core lies the study of random polytopes—convex hulls formed by points drawn ...

Researchers used algebra and geometry together to solve an old random walk problem. Random walk ideas have informed everything from biology to video games. This team identified a key geometry idea ...

These are not the kinds of objects that concern Scott Sheffield. Sheffield, a professor of mathematics at the Massachusetts Institute of Technology, studies shapes that are constructed by random ...

This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...

Random processes are central to contemporary approaches in two-dimensional conformal field theory, where they furnish a bridge between probabilistic models and quantum fields endowed with conformal ...