Percolation by Geoffrey R Grimmett

Percolation by Geoffrey R Grimmett

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Percolation by Geoffrey R Grimmett

Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed. Much new material appears in this second edition, including: dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.

PhD (Oxford 1974) under John Hammersley and Dominic Welsh's direction. From 1976 to 1992, he was a member of Bristol University's Mathematical Department, and after that, he was appointed to the Professorship of Mathematics Statistics at Cambridge University. Percolation (Springer 1999), Probability and Random Processes (with David Stirzaker, Oxford University Press 2001), and other articles and books in probability and related topics. From 2001 to 2005, I was the Managing Editor of Probabilistic Theory and Related Topics.

SKU Unavailable
ISBN 13 9783642084423
ISBN 10 3642084427
Title Percolation
Author Geoffrey R Grimmett
Series Grundlehren Der Mathematischen Wissenschaften
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published 2010-12-06
Number of pages 447
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.