 Markov Chains and Mixing Times, second edition by David A. Levin and others

By David A. Levin and Yuval Peres, with contributions by Elizabeth L. Wilmer.

Author's book website: pages.uoregon.edu/dlevin/MARKOV/

Online text: pages.uoregon.edu/dlevin/MARKOV/mcmt2e.pdf

Alternate author-hosted PDF: pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf

Publisher record: doi.org/10.1090/mbk/107

Cited passages: §4.1, Proposition 4.2 and Remark 4.3, printed p. 48: finite-state discrepancy formula; §4.2, Example 4.6, Proposition 4.7 and equation (4.13), printed pp. 49–52: coupling and common-mass construction. The author-hosted second-edition PDF text and title page were inspected; the numerical examples here are original.

Publication metadata: American Mathematical Society, 2017; hardcover ISBN 978-1-4704-2962-1, as listed in the publisher's ^[ref].