Teaching

In Michaelmas term 2011 I taught the Part III Advanced Probability course.

Background material

D. Williams, Probability with Martingales, Cambridge University Press 1991 (Part A)

Part II Probability and Measure notes by James Norris

Lecture notes and examples sheets

Here you can find lecture notes for the course as well as example sheets.

Lecture notes
Example sheet 1
Example sheet 2
Example sheet 3

Example sheet 4

Please feel free to send comments and corrections to p.sousi@statslab.cam.ac.uk

Other sources

D. Williams, Probability with Martingales, Cambridge University Press 1991 (Part B)

P. Mörters and Y. Peres, Brownian motion, Chapters 1,2,3,5, Cambridge University Press 2010

R. Durrett, Probability: Theory and Examples, Wadsworth 1991

L.C.G. Rogers and D. Williams, Diffusions, Markov processes and Martingales Vol. I (2nd edition), Chapters I & II, Wiley 1994

Lecture notes on Advanced Probability by James Norris