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Pirogov-Sinai theory with new contours for symmetric models. (English) Zbl 1206.82005
By using a new definition of contour different from that of Pirogov-Sinai, the authors can refer to Peierls argument to derive a new simple proof of the Pigorov-Sinai result related to the non-uniqueness of Gibbs measure for symmetric models,
MSC:
82B05 Classical equilibrium statistical mechanics (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
60K35 Interacting random processes; statistical mechanics type models; percolation theory
05C05 Trees
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