Existence and Uniqueness of The Stationary Distribution
Assume a finite irreducible and aperiodic Markov Chain $\{X_t\}_{t \geq 0}$ with transition matrix $P$. We prove, by construction, the existence of the stationary distribution $\pi$ for every such Markov Chain.
This writeup is available here as a pdf. We point the reader to this post for the notation used in this blog post.
This post follows the exposition of (Levin & Peres, 2017), but in a verbose manner.
This page was last modified on September 18, 2024.