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nexusstc/Markov Chains and Mixing Times/57b76ae2c82be7db4150208d1ce5f074.pdf
Markov chains and mixing times: with a chapter on coupling from the past by James G. Propp and David B. Wilson 🔍
David Asher Levin; Yuval Peres; Elizabeth Lee Wilmer American Mathematical Society ; Eurospan [distributor, 1, 2009
英语 [en] · PDF · 5.3MB · 2009 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Whenever possible, probabilistic methods are emphasized. The book includes many examples and provides brief introductions to some central models of statistical mechanics. Also provided are accounts of random walks on networks, including hitting and cover times, and analyses of several methods of shuffling cards. As a prerequisite, the authors assume a modest understanding of probability theory and linear algebra at an undergraduate level. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience.
备用文件名
lgli/Levin,Peres,Wilmer Markov Chains and Mixing Times (American Mathematical Society)(ISBN 0821847392).pdf
备用文件名
lgrsnf/Levin,Peres,Wilmer Markov Chains and Mixing Times (American Mathematical Society)(ISBN 0821847392).pdf
备用文件名
zlib/Mathematics/David A. Levin, Yuval Peres, Elizabeth L. Wilmer/Markov chains and mixing times_540066.pdf
备选作者
David Asher Levin; Y Peres; Elizabeth L Wilmer; American Mathematical Society
备选作者
Levin, David Asher; Peres, Y.; Wilmer, Elizabeth L.
备选作者
Levin, David Asher , 1971-
备用出版商
Education Development Center, Incorporated
备用版本
American Mathematical Society, Providence, R.I., 2009
备用版本
Miscellaneous Books, no. 58, Providence, R.I, ©2009
备用版本
United States, United States of America
备用版本
Providence, R.I, Rhode Island, 2008
备用版本
Providence, R.I, Rhode Island, 2009
备用版本
Providence, R.I., London, 2008
备用版本
Providence, R.I, c2009
备用版本
1, PS, 2008
元数据中的注释
1
元数据中的注释
lg111849
元数据中的注释
{"edition":"1","isbns":["0821847392","1470412047","9780821847398","9781470412043"],"last_page":387,"publisher":"American Mathematical Society"}
元数据中的注释
Includes bibliographical references and index.
元数据中的注释
"With a chapter on coupling from the past by James G. Propp and David B. Wilson."
Includes bibliographical references (p. 353-361) and indexes.
备用描述
Chapter 1. Introduction To Finite Markov Chains Chapter 2. Classical (and Useful) Markov Chains Chapter 3. Markov Chain Monte Carlo: Metropolis And Glauber Chains Chapter 4. Introduction To Markov Chain Mixing Chapter 5. Coupling Chapter 6. Strong Stationary Times Chapter 7. Lower Bounds On Mixing Times Chapter 8. The Symmetric Group And Shuffling Cards Chapter 9. Random Walks On Networks Chapter 10. Hitting Times Chapter 11. Cover Times Chapter 12. Eigenvalues Chapter 13. Eigenfunctions And Comparison Of Chains Chapter 14. The Transportation Metric And Path Coupling Chapter 15. The Ising Model Chapter 16. From Shuffling Cards To Shuffling Genes Chapter 17. Martingales And Evolving Sets Chapter 18. The Cutoff Phenomenon Chapter 19. Lamplighter Walks Chapter 20. Continuous-time Chains Chapter 21. Countable State Space Chains Chapter 22. Coupling From The Past Chapter 23. Open Problems Appendix A. Background Material Appendix B. Introduction To Simulation Appendix C. Solutions To Selected Exercises. David A. Levin, Yuval Peres, Elizabeth L. Wilmer. With A Chapter On Coupling From The Past By James G. Propp And David B. Wilson. Includes Bibliographical References (pages 353-361) And Indexes. Mode Of Access: World Wide Web.
开源日期
2009-08-06
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