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Licensed Unlicensed Requires Authentication Published by De Gruyter 2011

Chapter 14 Ergodicity

From the book Gibbs Measures and Phase Transitions

https://doi.org/10.1515/9783110250329.289
From the book
Gibbs Measures and Phase Transitions
Gibbs Measures and Phase Transitions

Chapters in this book (30)

Frontmatter
Preface
Contents
Introduction
Part I. General theory and basic examples
Chapter 1 Specifications of random fields
Chapter 2 Gibbsian specifications
Chapter 3 Finite state Markov chains as Gibbs measures
Chapter 4 The existence problem
Chapter 5 Specifications with symmetries
Chapter 6 Three examples of symmetry breaking
Chapter 7 Extreme Gibbs measures
Chapter 8 Uniqueness
Chapter 9 Absence of symmetry breaking. Non-existence
Part II. Markov chains and Gauss fields as Gibbs measures
Chapter 10 Markov fields on the integers I
Chapter 11 Markov fields on the integers II
Chapter 12 Markov fields on trees
Chapter 13 Gaussian fields
Part III. Shift-invariant Gibbs measures
Chapter 14 Ergodicity
Chapter 15 The specific free energy and its minimization
Chapter 16 Convex geometry and the phase diagram
Part IV. Phase transitions in reflection positive models
Chapter 17 Reflection positivity
Chapter 18 Low energy oceans and discrete symmetry breaking
Chapter 19 Phase transitions without symmetry breaking
Chapter 20 Continuous symmetry breaking in N-vector models
Bibliographical Notes
Further Progress
References
References to the Second Edition
List of Symbols
Index
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