In a one-dimensional random walk, a “walker” is confined to a long, narrow path and moves forward or backward in steps according to the results of repeatedly tossing a coin. The walker takes a step in ...

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 ...

Advances in Applied Probability, Vol. 41, No. 2 (JUNE 2009), pp. 452-468 (17 pages) In this article we analyse the behaviour of the extremes of a random walk in a random scenery. The random walk is ...

Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve problems that overwhelm today’s most powerful supercomputers. Instead of ...

Mathematicians Hillel Furstenberg and Gregory Margulis have jointly won the 2020 Abel prize for their pioneering use of methods from probability and dynamics in other mathematical fields such as group ...