George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...

Random walks constitute one of the most fundamental models in the study of stochastic processes, representing systems that evolve in a sequence of random steps. Their applications range from modelling ...

In this paper we consider drift and entropy growth for symmetric finitary random walks on finitely generated groups. We construct examples of various intermediate asymptotics of the drift for such ...

This is a preview. Log in through your library . The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis ...

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...