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References
-
David J. Aldous and James A. Fill.
Reversible Markov Chains and Random Walks on Graphs.
Book in preparation,
http://www.stat.berkeley.edu/~aldous/RWG/book.html , 2005. - Persi Diaconis. Group Representations in Probability and Statistics. Institute of Mathematical Statistics, 1988. MR 90a:60001
- Persi Diaconis. The cutoff phenomenon in finite Markov chains. Proceedings of the National Academy of Sciences, USA, 93:1659--1664, 1996. MR 97b:60112
- Persi Diaconis and Laurent Saloff-Coste. Comparison techniques for random walk on finite groups. The Annals of Probability, 21(4):2131--2156, 1993. MR 95a:60009
- Persi Diaconis and Laurent Saloff-Coste. Random walks on finite groups: a survey of analytic techniques. In Probability measures on groups and related structures, XI (Oberwolfach, 1994), pages 44--75. World Sci. Publishing, 1995. MR 97k:60013
- Martin V. Hildebrand. Rates of Convergence of Some Random Processes on Finite Groups. PhD thesis, Harvard University, 1990.
- Laurent Saloff-Coste. Lower bound in total variation for finite Markov chains: Wilson's lemma, 2002. Manuscript.
- Elizabeth L. Wilmer. Exact Rates of Convergence for Some Simple Non-Reversible Markov Chains. PhD thesis, Harvard University, 1999.
- Elizabeth L. Wilmer. A local limit theorem for a family of non-reversible Markov chains, 2002. arXiv:math.PR/0205189.
- David B. Wilson. Mixing times of lozenge tiling and card shuffling Markov chains, 2001. To appear in The Annals of Applied Probability. arXiv:math.PR/0102193.

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