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＜電子ブック＞
Intersections of Random Walks / by Gregory F. Lawler
(Modern Birkhäuser Classics. ISSN:21971811)

版	1st ed. 2013.
出版者	(New York, NY : Springer New York : Imprint: Birkhäuser)
出版年	2013
本文言語	英語
大きさ	VI, 223 p : online resource
著者標目	*Lawler, Gregory F author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:System theory LCSH:Statistics  LCSH:Mathematical physics FREE:Probability Theory FREE:Complex Systems FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Theoretical, Mathematical and Computational Physics
一般注記	Simple Random Walk -- Harmonic Measure -- Intersection Probabilities -- Four Dimensions -- Two and Three Dimensions.- Self-Avoiding Walks.- Loop-Erased walk -- Recent Results 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 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. The present softcover reprint includes corrections and addenda from the 1996 printing, and  makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks HTTP:URL=https://doi.org/10.1007/978-1-4614-5972-9

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