| Probability on Graphs: Random Processes on Graphs and Lattices Contributor(s): Grimmett, Geoffrey (Author) |
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ISBN: 0521197988 ISBN-13: 9780521197984 Publisher: Cambridge University Press OUR PRICE: $117.80 Product Type: Hardcover - Other Formats Published: August 2010 * Not available - Not in print at this time * |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General |
| Dewey: 511.5 |
| Series: Institute of Mathematical Statistics Textbooks |
| Physical Information: 0.8" H x 6" W x 9" (1.20 lbs) 260 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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-L wner 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. |
Contributor Bio(s): Grimmett, Geoffrey: - Geoffrey Grimmett is Professor of Mathematical Statistics in the Statistical Laboratory at the University of Cambridge. |