Percolation
Author:   Bela Bollobás (Trinity College, Cambridge) ,  Oliver Riordan (Trinity College, Cambridge)
Publisher:   Cambridge University Press
ISBN:  

9781139167383


Publication Date:   05 June 2012
Format:   Undefined
Availability:   Available To Order   Availability explained
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Percolation


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Author:   Bela Bollobás (Trinity College, Cambridge) ,  Oliver Riordan (Trinity College, Cambridge)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9781139167383


ISBN 10:   1139167383
Publication Date:   05 June 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Preface; 1. Basic concepts; 2. Probabilistic tools; 3. Percolation on Z2 - the Harris-Kesten 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.

Reviews

'This book contains a complete account of most of the important results in the fascinating area of percolation. Elegant and straightforward proofs are given with minimal background in probability or graph theory. It is self-contained, accessible to a wide readership and widely illustrated with numerous examples. It will be of considerable interest for both beginners and advanced searchers alike.' Zentralblatt MATH


Author Information

Béla Bollobás 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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