Percolation Theory for Mathematicians
by Harry Kesten
Published in 1982 by Birkhäuser, Boston
Percolation Theory for Mathematicians by Harry Kesten is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
All rights
rest with and are retained by the author.
Front matter | ||
Chapter 1. | 1–9 | Introduction and Summary |
Chapter 2. | 10–39 | What graphs do we consider? |
Chapter 3. | 40–68 | Periodic percolation problems |
Chapter 4. | 69–80 | Increasing events |
Chapter 5. | 81–125 | Bounds for the distribution of #W |
Chapter 6. | 126–167 | The RSW theorem |
Chapter 7. | 168–197 | Proofs of Theorems 3.1 and 3.2 |
Chapter 8. | 198–237 | Power estimates |
Chapter 9. | 238–254 | The nature of the singularity at pH |
Chapter 10. | 255–334 | Inequalities for critical probabilities |
Chapter 11. | 335–379 | Resistance of random electrical networks |
Chapter 12. | 380–385 | Unsolved problems |
386–412 | Appendix | |
413–417 | References | |
418–423 | Indexes |