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Item Details
Title: PROBABILITY ON GRAPHS
RANDOM PROCESSES ON GRAPHS AND LATTICES
By: Geoffrey Grimmett
Format: Hardback

List price: £94.99
Our price: £83.12
Discount:
12.5% off
You save: £11.87
ISBN 10: 0521197988
ISBN 13: 9780521197984
Availability: Reprinting. This item may be subject to delays or cancellation.
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Stock: Currently 0 available
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 24 June, 2010
Series: Institute of Mathematical Statistics Textbooks v. 1
Pages: 260
Description: Inspiration and provocation from a master expositor, taking you to the heart of contemporary probability.
Synopsis: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-Lowner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Illustrations: 45 b/w illus. 90 exercises
Publication: UK
Imprint: Cambridge University Press
Returns: Non-returnable
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