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Introduction to Markov Chains
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Author(s):
Ehrhard Behrends
Publication date
(Print):
2000
Publisher:
Vieweg+Teubner Verlag
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An Introduction to SAXS
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Book
ISBN (Print):
978-3-528-06986-5
ISBN (Electronic):
978-3-322-90157-6
Publication date (Print):
2000
DOI:
10.1007/978-3-322-90157-6
SO-VID:
077d35c1-6792-4dac-bc6f-c13f5b25a1b6
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Book chapters
pp. 4
Markov chains: how to start?
pp. 12
Examples of Markov chains
pp. 19
How linear algebra comes into play
pp. 23
The fundamental notions in connection with Markov chains
pp. 36
Transient states
pp. 42
An analytical lemma
pp. 48
Irreducible Markov chains
pp. 61
Notes and remarks
pp. 71
Perron-Frobenius theory
pp. 77
Rapid mixing: a first approach
pp. 91
Conductance
pp. 102
Stopping times and the strong Markov property
pp. 108
Coupling methods
pp. 121
Strong uniform times
pp. 128
Markov chains on finite groups I (commutative groups)
pp. 142
Markov chains on finite groups II (arbitrary groups)
pp. 168
Notes and remarks
pp. 174
Random generation and counting
pp. 183
Markov random fields
pp. 195
Potentials, Gibbs fields, and the Ising Model
pp. 209
The Metropolis sampler and simulated annealing
pp. 220
Notes and remarks
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