Percolation [2 ed.] 9783540649021, 3540649026

Percolation theory is the study of an idealized random medium in two or more dimensions. It is a cornerstone of the theo

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English Pages 447 [456] Year 1999

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Table of contents :
Front Matter....Pages i-xiii
What is Percolation?....Pages 1-31
Some Basic Techniques....Pages 32-52
Critical Probabilities....Pages 53-76
The Number of Open Clusters per Vertex....Pages 77-86
Exponential Decay....Pages 87-116
The Subcritical Phase....Pages 117-145
Dynamic and Static Renormalization....Pages 146-196
The Supercritical Phase....Pages 197-231
Near the Critical Point: Scaling Theory....Pages 232-253
Near the Critical Point: Rigorous Results....Pages 254-280
Bond Percolation in Two Dimensions....Pages 281-348
Extensions of Percolation....Pages 349-377
Percolative Systems....Pages 378-396
Back Matter....Pages 397-447

Percolation [2 ed.]
 9783540649021, 3540649026

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