# Books

## Markov Chain Mixing Time | by David A. Levin, Yuval Peres, and Elizabeth L. Wilmer

This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors (including Yuval Peres of Microsoft Research) develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience.