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 ...

The Annals of Probability, Vol. 31, No. 4 (Oct., 2003), pp. 1917-1934 (18 pages) This article examines the rate of escape for a random walk on G≀ Z and proves laws of the iterated logarithm for both ...

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 ...

We are a research group based in Innsbruck, in the middle of the Austrian Alps. The Department of Mathematics at the ...

Theory that stock price changes from day to day are accidental or haphazard; changes are independent of each other and have the same probability distribution. For a simple random walk, the best ...