PERCOLATION

Percolation. The critical probability. Correlation inequalities. Two dimensions. Conformal invariance and Schramm-Loewner evolution in 2D. Random walks in finite graphs. Infinite graphs. Finite uniform spanning trees. Infinite uniform spanning trees and forests.

Percolation and Random Walks on Graphs, by P. Sousi, 2018, University of Cambridge.

Percolation and Random Walks on Graphs, written by D. Chua, based on lectures by P. Sousi, 2017, University of Cambridge.

Probability on Graphs, by G. Grimmett, 2018, Cambridge University Press.