Percolation is the occurence of infinite connected components (clusters) in random graphs or sets. The study of percolating random structures is an important and interesting task for probalility theory and physics. The first part of the lecture will deal with bond percolation on a regular lattice. Other graphs and models of continuuum percolation will be discussed as well.
The lecture requires a sound knowledge of measure theoretical based probability theory.

References

G. Grimmet: Percolation. Second edition. Springer-Verlag, Berlin, 1999.

B. Bollobas, O.Riordan: Percolation. Cambridge University Press, 2006.