书目名称 | Intersections of Random Walks |
编辑 | Gregory F. Lawler |
视频video | |
概述 | Affordable reprint of a classic monograph.Topics covered include: discrete harmonic measure; the probability that independent random walks do not intersect; and properties of walks without self-inters |
丛书名称 | Modern Birkhäuser Classics |
图书封面 |  |
描述 | .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 interest |
出版日期 | Book 2013 |
关键词 | Brownian Motion; Diffusion Limited Aggregation; Harmonic Measure; Loop-Erased Walk; Random Walk; Self-Avo |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-5972-9 |
isbn_softcover | 978-1-4614-5971-2 |
isbn_ebook | 978-1-4614-5972-9Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
issn_series | 2197-1803 |
copyright | Springer Science+Business Media New York 2013 |