Percolation Theory for Mathematicians
by Harry Kesten
Published in 1982 by Birkhäuser, Boston
All rights
rest with and are retained by the author.
The author grants that the work is available under
the Creative
Commons Attribution-NonCommercial-ShareAlike License.
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 p_{H} |
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 |