Modern Birkhäuser Classics

Intersections of Random Walks

Authors: Lawler, Gregory F.

  • ​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-intersections
  • Includes the corrections and addendum from the second printing
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eBook $69.99
price for USA (gross)
  • ISBN 978-1-4614-5972-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4614-5971-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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.

Reviews

…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.

SIAM Review  

…a very welcome presentation of the subject, serving as a central reference and source of information.

Metrika


Table of contents (7 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4614-5972-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4614-5971-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Intersections of Random Walks
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5972-9
DOI
10.1007/978-1-4614-5972-9
Softcover ISBN
978-1-4614-5971-2
Series ISSN
2197-1803
Edition Number
1
Number of Pages
VI, 223
Additional Information
Originally published in the Probability and its Applications series
Topics