UID:
almahu_9947359992402882
Format:
Online-Ressource
Edition:
2nd edition 2011
Edition:
Online-Ausg. 2011 Electronic reproduction; Available via World Wide Web
ISBN:
9783110250299
Series Statement:
de Gruyter Studies in Mathematics 9
Content:
From a review of the first edition: 'This book […] covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics. […] It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert.' (F. Papangelou, Zentralblatt MATH)The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area.Hans-Otto Georgii, Ludwig-Maximilians-Universität Munich, Germany. 'This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians.'Fredos Papangelou, Zentralblatt MATH
Note:
Includes bibliographical references and index
,
pt. 1. General theory and basic examples -- pt. 2. Markov chains and Gauss fields as Gibbs measures -- pt. 3. Shift-invariant Gibbs measures -- pt. 4. Phase transitions in reflection positive models..
Additional Edition:
ISBN 9783110250329
Language:
English
Subjects:
Physics
,
Mathematics
Keywords:
Phasenumwandlung
;
Gibbs-Maß
DOI:
10.1515/9783110250329
URL:
Volltext
(lizenzpflichtig)
