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 ...

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 ...

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 ...

It’s a breakthrough in the field of random walks.

Osaka, Japan - Researchers at the Center for Quantum Information and Quantum Biology at Osaka University used trapped ions to demonstrate the spreading of vibrational quanta as part of a quantum ...