Percolation(English, Hardcover, Grimmett Geoffrey R.)

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Percolation(English, Hardcover, Grimmett Geoffrey R.) is written by Grimmett Geoffrey R. and published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG. It's available with International Standard Book Number or ISBN identification 3540649026 (ISBN 10) and 9783540649021 (ISBN 13).

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.