Stochastic geometry provides a mathematical framework for modelling and analysing the spatial arrangement of nodes in communication networks. By treating base stations, users and other network ...

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 ...

Randomness is inherent to real world problems so faculty research in this area includes the development and application of probabilistic tools to model, predict, and analyze randomness in applications ...

Systematic study of Markov chains and some of the simpler Markov processes including renewal theory, limit theorems for Markov chains, branching processes, queuing theory, birth and death processes, ...