Gibbs Measures and Phase Transitions / / Hans-Otto Georgii.

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ग्रंथसूची विवरण
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
प्रकाशन का वर्ष :2011
संस्करण:2nd ext. ed.
भाषा:English
श्रृंखला:De Gruyter Studies in Mathematics , 9
ऑनलाइन पहुंच:
भौतिक वर्णन:1 online resource (542 p.)
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विवरण
Other title: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
स्वरूप:Mode of access: Internet via World Wide Web.
आईएसबीएन:9783110250329
9783110494938
9783110238570
9783110238471
9783110637205
9783110261189
9783110261233
9783110261202
आईएसएसएन:0179-0986 ;
डिजिटल ऑब्जेक्ट पहचानकर्ता:10.1515/9783110250329
अभिगमन:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Hans-Otto Georgii.