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

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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2011
Año de Publicación:2011
Edición:2nd ext. ed.
Lenguaje:English
Colección:De Gruyter Studies in Mathematics , 9
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id 9783110250329
ctrlnum (DE-B1597)123086
(OCoLC)979906338
collection bib_alma
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spelling Georgii, Hans-Otto, author. aut http://id.loc.gov/vocabulary/relators/aut
Gibbs Measures and Phase Transitions / Hans-Otto Georgii.
2nd ext. ed.
Berlin ; Boston : De Gruyter, [2011]
©2011
1 online resource (542 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 9
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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Measure theory.
Phase transformations (Statistical physics).
Probabilities.
Gaussian Fields.
Gibbs Measures.
Markov Chains.
Phase Transition.
Statistical Mechanics.
MATHEMATICS / General. bisacsh
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011 9783110261189 ZDB-23-DGG
Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011 9783110261233
Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011 9783110261202 ZDB-23-DMN
print 9783110250299
https://doi.org/10.1515/9783110250329
https://www.degruyter.com/isbn/9783110250329
Cover https://www.degruyter.com/document/cover/isbn/9783110250329/original
language English
format eBook
author Georgii, Hans-Otto,
Georgii, Hans-Otto,
spellingShingle Georgii, Hans-Otto,
Georgii, Hans-Otto,
Gibbs Measures and Phase Transitions /
De Gruyter Studies in Mathematics ,
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
author_facet Georgii, Hans-Otto,
Georgii, Hans-Otto,
author_variant h o g hog
h o g hog
author_role VerfasserIn
VerfasserIn
author_sort Georgii, Hans-Otto,
title Gibbs Measures and Phase Transitions /
title_full Gibbs Measures and Phase Transitions / Hans-Otto Georgii.
title_fullStr Gibbs Measures and Phase Transitions / Hans-Otto Georgii.
title_full_unstemmed Gibbs Measures and Phase Transitions / Hans-Otto Georgii.
title_auth Gibbs Measures and Phase Transitions /
title_alt 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
title_new Gibbs Measures and Phase Transitions /
title_sort gibbs measures and phase transitions /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2011
physical 1 online resource (542 p.)
Issued also in print.
edition 2nd ext. ed.
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
isbn 9783110250329
9783110494938
9783110238570
9783110238471
9783110637205
9783110261189
9783110261233
9783110261202
9783110250299
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QC - Physics
callnumber-label QC20
callnumber-sort QC 220.7 P7 G46 42011
url https://doi.org/10.1515/9783110250329
https://www.degruyter.com/isbn/9783110250329
https://www.degruyter.com/document/cover/isbn/9783110250329/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.42
dewey-sort 3515 242
dewey-raw 515/.42
dewey-search 515/.42
doi_str_mv 10.1515/9783110250329
oclc_num 979906338
work_keys_str_mv AT georgiihansotto gibbsmeasuresandphasetransitions
status_str n
ids_txt_mv (DE-B1597)123086
(OCoLC)979906338
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011
Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011
Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011
is_hierarchy_title Gibbs Measures and Phase Transitions /
container_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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