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Percolation by Bela Bollobas
Book DescriptionPercolation 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, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe 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.
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Book DetailsISBN: 9780521872324
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 21-Sep-2006
Country of Publication: United Kingdom
Books By Author Bela Bollobas
Nonlinear Analysis and Semilinear Elliptic Problems, Hardback (January 2007)
Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.
Art of Mathematics, Paperback (September 2006)
A collection of mathematical problems chosen to illustrate the mathematician's art.
Free Ideal Rings and Localization in General Rings, Hardback (June 2006)
This book presents the theory of free ideal rings (firs) in detail.
Harmonic Measure, Hardback (April 2005)» View all books by Bela Bollobas
An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.
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Author Biography - Bela Bollobas
Bela Bollobas is a Senior Research Fellow at Trinity College, Cambridge and is the Jabie Hardin Chair of Excellence in Combinatorics at the University of Memphis. He has held visiting positions from Seattle to Singapore, from Brazil to Zurich. This is his eleventh book. Oliver Riordan is a Royal Society Research Fellow in the University of Cambridge and Research Fellow of Trinity College, Cambridge. In May 2000 he shared the prize for solving Christopher Monckton's Eternity Puzzle.
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