Percolation (Hardcover)

Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe, for the first time in a book, recent results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. All-in-all, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	September 2006
First published:	2006
Authors:	Bela Bollobas • Oliver Riordan
Dimensions:	235 x 161 x 20mm (L x W x T)
Format:	Hardcover
Pages:	334
ISBN-13:	978-0-521-87232-4
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	0-521-87232-4
Barcode:	9780521872324

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