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A-priori estimates and existence of Gibbs measures: A simplified proof. (English) Zbl 0937.60101

Summary: We prove existence and uniform a-priori estimates for Gibbs states of certain classical lattice systems with unbounded spins and \(n\)-particle interactions. We use a characterization of Gibbs measures in terms of their Radon-Nikodym derivatives w.r.t. local shifts of the configuration space and the corresponding integration by parts formula. Detailed proofs are contained in a forthcoming paper of the authors (subm. to J. Funct. Anal.).

MSC:

60K40 Other physical applications of random processes
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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