Percolation and Related Topics

Part III course, Michaelmas Term 2019

Lecture times: Tuesday, Thursday at 10am, MR5

Classes: Tuesday 19 November, 3 December, 21 January, 15.30 in MR 13

Exam: Two hour paper, conventional format.

Principal references:

• Probability on Graphs
• Three theorems in discrete random geometry

Problem sheets

• Sheet 1.
• Sheet 2.

Hand-out:

Further not totally irrelevant books/papers:

• For percolation material, paper number 13 on my publication list is a good source (take the double-sided version)
• Probability on Trees, an Introductory Climb by Yuval Peres
• Random Walks and Electric Networks by Peter Doyle and Laurie Snell
• Probability on Trees and Networks by Russell Lyons and Yuval Peres
• Material on Coupling from the past, compiled by David Wilson
• Exponential decay, by Hugo Duminil and Vincent Tassion