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