About this book
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.
- Book Title Intersections of Random Walks
- Series Title Modern Birkhäuser Classics
- DOI https://doi.org/10.1007/978-1-4614-5972-9
- Copyright Information Springer Science+Business Media New York 2013
- Publisher Name Birkhäuser, New York, NY
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Softcover ISBN 978-1-4614-5971-2
- eBook ISBN 978-1-4614-5972-9
- Edition Number 1
- Number of Pages VI, 223
- Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
- Additional Information Originally published in the Probability and its Applications series
Probability Theory and Stochastic Processes
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
Statistical Physics and Dynamical Systems
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…the text is extremely readable and informative.
—The Bulletin of Mathematics Books
Much of the material is Lawler’s own research, so he knows his story thoroughly and tells it well.
…a very welcome presentation of the subject, serving as a central reference and source of information.