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Critical exponents for long-range interactions. (English) Zbl 0658.60136
The contribution of long-range interactions to an “effective dimension” of a model of statistical mechanics is investigated. The authors give a number of rigorous results on critical exponents of such models, including Griffiths-Simon spin models. The analytical results are compared with earlier renormalization-group predictions.
Reviewer: V.Chulaevski

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82B05 Classical equilibrium statistical mechanics (general)
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