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Markov chains and mixing times

Author: David Asher Levin; Y Peres; Elizabeth L Wilmer
Publisher: Providence, R.I. : American Mathematical Society, ©2009.
Edition/Format:   Book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Asher Levin; Y Peres; Elizabeth L Wilmer
ISBN: 9780821847398 0821847392
OCLC Number: 234257270
Notes: "With a chapter on coupling from the past by James G. Propp and David B. Wilson."
Description: xvii, 371 p. : ill. ; 26 cm.
Contents: Introduction to finite Markov chains --
Classical (and useful) Markov chains --
Markov chain Monte Carlo : metropolis and Glauber chains --
Introduction to Markov chain mixing --
Coupling --
Strong stationary times --
Lower bounds on mixing times --
The symmetric group and shuffling cards --
Random walks on networks --
Hitting times --
Cover times --
Eigenvalues --
Eigenfunctions and comparison of chains --
The transportation metric and path coupling --
The Ising model --
From shuffling cards to shuffling genes --
Martingales and evolving sets --
The cutoff phenomenon --
Lamplighter walks --
Continuous-time chains --
Countable state space chains --
Coupling from the past --
Open problems --
Appendix A : Background material --
Appendix B : Introduction to simulation.
Responsibility: David A. Levin, Yuval Peres, Elizabeth L. Wilmer.
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