Percolation
Author(s)
Bibliographic Information
Percolation
（Die Grundlehren der mathematischen Wissenschaften, 321）
Springer, c1999
2nd ed
- : pbk
Available at / 99 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
GRI||15||2(2)99024938
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Note
Includes bibliographical references (p. [404]-433) and indexes
Description and Table of Contents
Description
Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.
Table of Contents
1 What is Percolation?.- 2 Some Basic Techniques.- 3 Critical Probabilities.- 4 The Number of Open Clusters per Vertex.- 5 Exponential Decay.- 6 The Subcritical Phase.- 7 Dynamic and Static Renormalization.- 8 The Supercritical Phase.- 9 Near the Critical Point: Scaling Theory.- 10 Near the Critical Point: Rigorous Results.- 11 Bond Percolation in Two Dimensions.- 12 Extensions of Percolation.- 13 Percolative Systems.- Appendix I. The Infinite-Volume Limit for Percolation.- Appendix II. The Subadditive Inequality.- List of Notation.- References.- Index of Names.
by "Nielsen BookData"
