Book contents
- Frontmatter
- Contents
- Preface
- 1 Basic concepts and results
- 2 Probabilistic tools
- 3 Bond 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
2 - Probabilistic tools
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- 1 Basic concepts and results
- 2 Probabilistic tools
- 3 Bond 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
Summary
- Type
- Chapter
- Information
- Percolation , pp. 36 - 49Publisher: Cambridge University PressPrint publication year: 2006