Gibbs Measures and Phase Transitions / / Hans-Otto Georgii.
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| Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2011 |
| Year of Publication: | 2011 |
| Edition: | 2nd ext. ed. |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
9 |
| Online Access: | |
| Physical Description: | 1 online resource (542 p.) |
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Table of Contents:
- 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