Ebook: Intersections of random walks

A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics Read more... Simple Random Walk -- Harmonic Measure -- Intersection Probabilities -- Four Dimensions -- Two and Three Dimensions -- Self-Avoiding Walks -- Loop-Erased Walk