Markov Chains and Mixing Times, second edition by David A. Levin and others Created 2026-10-13 Updated 2026-11-05
Online text: pages.uoregon.edu/dlevin/MARKOV/mcmt2e.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]
https://www.ams.org/notices/201709/201709FullIssue.pdf. September 2017 Notices announcement
.Primary text: rdlyons.pages.iu.edu/pdf/usf.pdf
Cited passage: Section9, Theorem9.4, printed pages32–33: deterministic number of wired-forest components and its random-walk characterization. Section4 also gives the weighted transfer-current formula.