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

• Superior document: Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
• VerfasserIn: Georgii, Hans-Otto,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2011
• Any de publicació: 2011
• Edició: 2nd ext. ed.
• Idioma: English
• Col·lecció: De Gruyter Studies in Mathematics , 9
• Descripció física: 1 online resource (542 p.)
• 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110250329; 9783110494938; 9783110238570; 9783110238471; 9783110637205; 9783110261189; 9783110261233; 9783110261202
• ISSN: 0179-0986
• DOI: 10.1515/9783110250329
• Accés: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Hans-Otto Georgii.