Percolation and related topics

Part III course, Lent Term 2013

Lecture times: Tuesday, Thursday at 10am, MR4

Exam: Two hour paper, conventional format.

Principal references:

• Probability on Graphs,
• Three theorems in discrete random geometry.

Problem sheets:

• Sheet 1. Please hand in by 26 February.
• Sheet 2. Please hand in by 23 April. Class on Tuesday 30 April at 3pm, MR12. (Note the correction to Exercise 5.4 of the source book, for which I apologise.)

Further not totally irrelevant books/papers:

• For percolation material, paper number 13 on my publication list is a good source
• 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