July 29, 2013
I've been studying for quals for the last several weeks. Today, I was reviewing basic Markov Chain theory, and decided to understand it by drawing a graph of various statements about Markov Chains. Each statement is a node, and each edge is an implication, (so if A points to B then A implies B). If you're not familiar with the various definitions in the nodes, I'd recommend taking a look at Professor Lalley's very intuitive and readable lecture notes, or at Amir Dembo's comprehensive probability notes, which the edges in the graph below reference for proofs.
Here is the graph! (Click for a larger version, and here for an easily-printable pdf).