In the next semester there is a reading called "Markov chains and boundary theory". I have at least an imagination what a Markov chain is, but what is meant with boundary theory in this context?
Maybe you can give me a short impression what could be meant.
This might correspond to the contents, and probably some extensions, of the seminal work by Kai Lai Chung On the boundary theory for Markov chains, see also there for the second part.
See also Chung's talk at ICM'70.