Seminar: Percolation
Wintersemester 2013/14
Prof. Dr. Silke Rolles
- Time and location: Friday, 10:00-11:30, MI 03.06.011
- First talk: Friday, October 18, 2013
- Prerequisites: Probability theory (MA2409)
- Content: Percolation is concerned with random graphs which can be viewed as models of porous media. The model shows very interesting behavior, like phase transitions. In the seminar, we will study classical percolation theory.
- Literature:
- Geoffrey Grimmett: Percolation, Springer, 1999.
- Manfred Lehn: Wie halte ich einen Seminarvortrag ^{}
- You should prepare your talk using the sections in the book by Grimmett indicated below.
- Schedule of talks:
- Chapter 1: What is percolation (Luca Del Re)
- Chapter 2: Inequalities (Sebastian Raspe)
- Chapter 3: Critical probabilities (Marc Pollak)
- Chapter 4: The number of open clusters per vertex (Martina Bares)
- Chapter 5: Exponential decay (Michael Zappe)
- 6.1-6.2: The subcritical phase, part 1 (Markus Lill)
- 6.3-6.4: The subcritical phase, part 2 (Lirike Neziraj)
- 7.1-7.2: Slabs and blocks (Michael Salvermoser)
- 7.3 Percolation in half spaces
- 7.4 Static renormalization
- Chapter 8: Supercritical phase, part 1
- Chapter 8: Supercritical phase, part 2
- Chapter 9: Near the critical point: scaling theory
- Chapter 10: Near the critical point: rigorous results
- Chapter 11: Bond percolation in two dimensions