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Probability on Graphs

Probability on Graphs Random Processes on Graphs and Lattices - Institute of Mathematical Statistics Textbooks

Hardback (24 Jun 2010)

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Publisher's 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-Löwner 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.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

Book information

ISBN: 9780521197984
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 511.5
DEWEY edition: 22
Language: English
Number of pages: 247
Weight: 506g
Height: 237mm
Width: 162mm
Spine width: 20mm