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 ...

The dynamics of many natural and artificial systems are well described as random walks on a network: the stochastic behaviour of molecules, traffic patterns on the internet, fluctuations in stock ...