Random walks constitute one of the cornerstone concepts in probability theory and statistical physics, representing a class of stochastic processes in which a moving entity takes successive steps in ...

Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...

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 ...

Tim Smith has 20+ years of experience in the financial services industry, both as a writer and as a trader. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...

Let $r_n$ be the probability that a recurrent random walk on a countable Abelian group fails to return to the origin in the first $n$ steps. For two-dimensional walk ...

Mathematicians from the California Institute of Technology have solved an old problem related to a mathematical process called a random walk. The team, which also worked with a colleague from Israel’s ...