Mixing Times of Markov Chains
Term 2, 2020
Lecture notes by Perla Sousi (will be edited and expanded by me throughout the term).
I will mostly follow the 2nd edition of the book Markov Chains and Mixing Times by David Levin and Yuval Peres with contributions by Elizabeth Wilmer Available on Levin's website.
Another good textbook (with an emphasis on analytic techniques) is the book Mathematical Aspects of Mixing Times of Markov chains by R. Montenegro and P. Tetali.