Graduate Seminar S4F4 Topics in percolation

M. Disertori, M. Mihailescu

location: Room: Endenicher Allee 60 SR 1.008

time: Wednesday 8(c.t.)-10 

Description: see here

Prerequisites:  basic notions in probability measures

Plan talks:

1. 16.04  Introduction
2. 23.04 Non-triviality of the critical phenomenon
3. 30.04 Exponential decay in the subcritical regime
4. 07.05 Uniqueness of the infinite component in the supercritical regime
5. 21.05 Continuity properties of θ
6. 28.05 Random walk on the infinite connected cluster
7. 04.06 p_c in dimension two (Part I)
8. 18.06 p_c in dimension two (Part II)
9. 25.06 Polynomial decay at criticality in dimension two
10. 02.07 Beyond Bernoulli percolation: FK percolation and connection with Ising and Potts model
11. 09.07 Percolation for strongly correlated models
12. 16.07 Decoupling inequalities for Gaussian free field

Literature: selected parts of
• G. Grimmet: ”Percolation”, 1999.
• H. Duminil-Copin: ”Introduction to Bernoulli percolation”, 2022  https://www.unige.ch/~duminil/publi/2017percolation.pdf