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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 $\infty$ of a family of measures $exp\left[-{{\Phi }}^{\left(m\right)}\left(x\right)\right]d{x}^{\left(m\right)}$ on ${ℝ}^{m}$, where ${{\Phi }}^{\left(m\right)}$ is a potential on ${ℝ}^{m}$ which is a perturbation “in a suitable sense” of the harmonic potential ${\sum }_{j}{x}_{j}^{2}$.

##### MSC:
 35Q99 PDE of mathematical physics and other areas 35B50 Maximum principles (PDE) 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
##### References:
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