Markov Chains and Mixing Times

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9780821847398: Markov Chains and Mixing Times

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.

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Review:

Markov Chains and Mixing Times is a magical book, managing to be both friendly and deep. It gently introduces probabilistic techniques so that an outsider can follow. At the same time, it is the first book covering the geometric theory of Markov chains and has much that will be new to experts. It is certainly THE book that I will use to teach from. I recommend it to all comers, an amazing achievement. ---- Persi Diaconis, Mary V. Sunseri Professor of Statistics and Mathematics, Stanford University

In this book, [the authors] rapidly take a well-prepared undergraduate to the frontiers of research. Short, focused chapters with clear logical dependencies allow readers to use the book in multiple ways. ---- CHOICE Magazine

Throughout the book, the authors generously provide concrete examples that motivate theory and illustrate ideas. I expect this superb book to be widely used in graduate courses around the world, and to become a standard reference. ---- Mathematical Reviews

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David A. Levin, Yuval Peres, Elizabeth L. Wilmer
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821847398

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David A. Levin; Yuval Peres; Elizabeth L. Wilmer
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218473980000000

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David A. Levin, Yuval Peres, Elizabeth L. Wilmer
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ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821847398

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David A. Levin; Yuval Peres; and Elizabeth L. Wilmer
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ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, 2008. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. 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. Codice libro della libreria 1007150080

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David A. Levin, Yuval Peres, Elizabeth L. Wilmer
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ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, 2008. Hardcover. Condizione libro: New. 1. Codice libro della libreria DADAX0821847392

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David A. Levin, Yuval Peres, Elizabeth L. Wilmer
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Descrizione libro American Mathematical Society, 2008. Condizione libro: new. Shiny and new! Expect delivery in 2-3 weeks. Codice libro della libreria 9780821847398-1

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David A. Levin; Yuval Peres; Elizabeth L. Wilmer
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ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, 2008. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821847392

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ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, 2009. Hardback. Condizione libro: NEW. 9780821847398 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE01294121

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David A. Levin, Yuval Peres, Elizabeth L. Wilmer
Editore: American Mathematical Society (2008)
ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society, 2008. Condizione libro: New. 2008. 1st Edition. Hardcover. Presents an introduction to the modern approach to the theory of Markov chains. This book intends 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. It provides introductions to some central models of statistical mechanics. Num Pages: 371 pages, Illustrations. BIC Classification: PBT. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 258 x 183 x 24. Weight in Grams: 850. . . . . . . Codice libro della libreria V9780821847398

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David A. Levin, Yuval Peres, Elizabeth L. Wilmer
Editore: American Mathematical Society
ISBN 10: 0821847392 ISBN 13: 9780821847398
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Markov Chains and Mixing Times, David A. Levin, Yuval Peres, Elizabeth L. Wilmer, 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. Codice libro della libreria B9780821847398

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