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Percolation

Author: Béla Bollobás; Oliver Riordan
Publisher: Cambridge : Cambridge Univ. Press, 2006.
Edition/Format:   Print book : EnglishView all editions and formats
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This book, first published in 2006, is an account of percolation theory and its ramifications.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Béla Bollobás; Oliver Riordan
ISBN: 0521872324 9780521872324
OCLC Number: 255835246
Notes: Literaturverz. S. 299 - 318.
Description: x, 323 Seiten : Illustrationen, Diagramme ; 24 cm
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.
Responsibility: Béla Bollobás ; Oliver Riordan.
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'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 Read more...

 
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