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On the correlation for Kac-like models in the convex case. (English) Zbl 0946.35508
Summary: The aim of this paper is to study the behavior as m tends to of a family of measures exp[-Φ (m) (x)]dx (m) on m , where Φ (m) is a potential on m which is a perturbation “in a suitable sense” of the harmonic potential j x j 2 .

MSC:
35Q99PDE of mathematical physics and other areas
35B50Maximum principles (PDE)
82B20Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
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