Intersections of Random Walks (Probability and its Applications)
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Book Description
A central study in Probability Theory is the behavior of fluctuation phenomena of particle sums in different types of random variables. One of the most useful concepts for this study is that of the random walk, which has applications in many areas, particularly in statistical physics and statistical chemistry.
The book focuses on, and explores, a number of problems primarily dealing 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 include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA), the probability that independent random walks do not intersect, and properties of walks without self intersections.
With the inclusion of a self-contained introduction to the properties of simple random walk and an emphasis on rigourous results, the book will be of use to researchers in probability and statistical physics and to graduate students interested in basic properties of random walk.
Intersections of Random Walks (Probability and its Applications),Gregory F. Lawler,Birkhauser,081763892X,General,Mathematics,Probability & Statistics - General,Random walks (Mathematics),Science,Science/Mathematics,Stochastic Processes,Mathematics / General,Probability,Probability & statistics,Random Walks
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