by Geoffrey Grimmett
Grundlehren der mathematischen Wissenschaften, vol 321,
Springer,
1999.
What's new?
- Reorganization and expansion of certain material.
- Inclusion of
much fundamental new material such as:
- some material on site percolation, and inhomogeneous percolation,
- strict inequalities between critical points, enhancements etc,
- the relationship between percolation in slabs and in the whole
space,
- dynamic and static renormalization,
- Burton-Keane proof of the uniqueness of the infinite cluster,
- sketch of the the lace expansion and
mean field theory,
- short essays on further applications, including
entanglement and rigidity in percolation, random-cluster model,
contact model, stochastic pin-ball, etc.
The first edition had 296 pages, and the second has 444 pages in about the
same format. Links to two sample chapters are given below.
The copyright of all linked material
rests with either the author or with Springer.
List of Contents
Preface
Chapter 1: What is Percolation?
This introductory chapter (in pdf format)
has been augmented by a new section
on site percolation.
Chapter 3: Critical Probabilities
A new chapter (in pdf format)
discussing critical probabilities, strict inequalities
between them, enhancements, and the like.
Corrigenda etc
