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Phasenübergänge am Ising-Modell. (Phase transitions in Ising model). (German) Zbl 0612.60096

The author gives a clearly written and easily readable survey of the classical results of the Ising model. The Onsager formula, the Yang-Lee theorem, Peierls argument as well as the theory of Gibbs measures, as introduced by Dobrushin, Lanford and Ruelle are discussed.
I only miss an outlook to the more recent results (e.g. Ising models with random potentials) and the corresponding references.
Reviewer: Th.Eisele

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
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