Math 230B / Stat 310B : References

We will mostly follow the Chapters 4 - 7 of these lecture notes by Amir Dembo.

Additional textbooks that can be useful:

• P. Billingsley, Probability and Measure

• D. Williams, Probability with Martingales

• J.F. Le Gall, Measure Theory, Probability, and Stochastic Processes

In Lectures 14, 15 we talked about potential theory for reversible countable Markov chains. This material can be found in Chapter 2 of

• R. Lyons and Y. Peres, Probability on Trees and Networks

or Chapter 9 of

• D. Levin, Y. Peres, E.Wilmer Markov Chains and Mixing Times

Here are some of my handwritten notes for these lectures