Percolation
 Responsibility
 Béla Bollobás, Oliver Riordan.
 Language
 English.
 Imprint
 Cambridge : Cambridge University Press, 2006.
 Physical description
 x, 323 p. : ill. ; 24 cm.
Access
Available online
 Cambridge Core Access limited to one user.
Engineering Library (Terman)
Stacks
Call number  Status 

QC174.85 .P45 B65 2006  Unknown 
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Creators/Contributors
 Author/Creator
 Bollobás, Béla.
 Contributor
 Riordan, Oliver.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preface 1. Basic concepts 2. Probabilistic tools 3. Percolation on Z2  the HarrisKesten Theorem 4. Exponential decay and critical probabilities  theorems of Menshikov and Aizenman & Barsky 5. Uniqueness of the infinite open cluster and critical probabilities 6. Estimating critical probabilities 7. Conformal invariance  Smirnov's Theorem 8. Continuum percolation Bibliography Index List of notation.
 (source: Nielsen Book Data)9780521872324 20160528
 Publisher's Summary
 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 nonspecialists. 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. Allinall, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area.
(source: Nielsen Book Data)9780521872324 20160528
Subjects
Bibliographic information
 Publication date
 2006
 ISBN
 0521872324
 9780521872324