The trail of a particle undergoing brownian motion might be unkindly described as a drunken walk. A 40-year-old conjecture related to brownian motion and such random walks has finally been proved. For ...

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

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 ...

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.