The cutoff phenomenon in finite Markov chains.
نویسندگان
چکیده
منابع مشابه
The cutoff phenomenon in finite Markov chains.
Natural mixing processes modeled by Markov chains often show a sharp cutoff in their convergence to long-time behavior. This paper presents problems where the cutoff can be proved (card shuffling, the Ehrenfests' urn). It shows that chains with polynomial growth (drunkard's walk) do not show cutoffs. The best general understanding of such cutoffs (high multiplicity of second eigenvalues due to ...
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Acknowledgement This paper was prompted in part by an inspiring course taught at Cornell by Persi Diaconis in the fall of 1996. For help and advice along the way we are grateful to Diaconis and to 29 References 1] D. Bayer and P. Diaconis, \Trailing the dovetail shuue to its lair," Ann. Appl. \Asymptotic analysis of a random walk on a hypercube with many dimensions," Random Struct. and Alg.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1996
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.93.4.1659