I'm going to take an advanced probability seminar next year - Random Walks on Boundary Groups, which my probability class lecturer recommended.
The course book is "Markov Chains and Mixing Times" by Peres, Levin & Wilmer.
I've read the first part of the book, which is an introduction to Markov chains and introduces some basic results which we will need.
Since I'm not familiar at all with anything probability-related past the basic introductory course and there is no detailed syllabus, I was wondering - is anyone here familiar with this area/subject?
The lecturer said he will focus on the probabilistic approach, whereas the last time he gave the course, he focused on applications to representation theory. That's good for me, as it means that the only prerequisites are basic probability, Markov chains and basic group theory.
Still, I'm not too sure about taking it, so I would be grateful for any recommendations / additional info.