| Percolation Contributor(s): Bollobas, Bela (Author), Riordan, Oliver (Author) |
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ISBN: 0521872324 ISBN-13: 9780521872324 Publisher: Cambridge University Press OUR PRICE: $99.75 Product Type: Hardcover Published: September 2006 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Probability & Statistics - General |
| Dewey: 530.13 |
| LCCN: 2006287798 |
| Physical Information: 0.79" H x 6.32" W x 9.26" (1.46 lbs) 334 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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, 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. |
Contributor Bio(s): Bollobas, Bela: - B�la Bollob�s 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.Riordan, Oliver: - 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� Eternity Puzzle. |