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Gibbs measures and phase transitions. 2nd extended ed. (English) Zbl 1225.60001
De Gruyter Studies in Mathematics 9. Berlin: de Gruyter (ISBN 978-3-11-025029-9/hbk; 978-3-11-025032-9/ebook). xix, 545 p. (2011).
This is the second edition of the fundamental monograph by H.-O. Georgii [Gibbs measures and phase transitions. Berlin etc.: Walter de Gruyter (1988; Zbl 0657.60122)]. Apart from corrections and some small adjustments most parts of the book remain unchanged except for two new sections: the first one on large deviations for Gibbs measures and the free minimum free energy principle; whereas the second one gives a brief overview of developments in the field since the first edition was published.
In its new edition, the text remains a standard reference for the expert as well as a nicely written introduction to this fascinating subject.
Reviewer: H. M. Mai (Berlin)

60-02 Research exposition (monographs, survey articles) pertaining to probability theory
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
82B26 Phase transitions (general) in equilibrium statistical mechanics
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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