Irreducible periodic case

This lecture discusses the convergence results for the periodic case reversibility in Markov chains. The instructor explains the concept of irreducible chains with a single period, demonstrating how to define sets of sites based on transition probabilities. The lecture covers the implications of aperiodicity in periodic chains and the conditions for positive recurrence in birth and death chains. Additionally, the topic of reversible processes in Markov chains is explored, highlighting the importance of invariant distributions. Examples of random walks on finite graphs are provided to illustrate the application of measures and balance equations.