Seminar: Random interlacements
Sommer semester 2018
Prof. Dr. Silke Rolles
- Time and location: Thursday, 14:00-15:30, in MI 03.12.020A. The seminar will take place weekly.
- First talk: Thursday, April 19, 2018.
- Prerequisites: Probability theory (MA2409) and interest in the subject.
- Content: Random interlacements were introduced by Sznitman in 2007. By now, they form a very active area of research. The random interlacement process is a Poisson process consisting of doubly infinite trajectories of a random walk. The seminar gives an introduction to this exciting subject.
- Literature: Alexander Drewitz, Balazs Rath and Artem Sapozhnikov: An Introduction to Random Interlacements, Springer briefs in mathematics, 2014. ebook
- A guide how to present a talk: Manfred Lehn: Wie halte ich einen Seminarvortrag ^{}
- List of talks:
- Chapter 1: Random walk, Green function and equilibrium measure (Svitlana Oleshko)
- Chapter 2: Random interlacements: first definition and basic properties (Philipp Feneberg)
- Chapter 3: Random walk on the torus and random interlacements (Alex Koplin Tubone)
- Chapter 4: Poisson point processes and Chapter 5, Section 5.1.1
- Chapter 5: Random interlacement point process starting with Section 5.1.2
- Chapter 6: Percolation of the vacant set
- Chapter 7: Source of correlations and decorrelation via coupling
- Chapter 8: Decoupling inequalities
- Chapter 9: Phase transition