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.).


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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