99-372 T. Bodineau and B. Helffer

Correlations, Spectral gap and Log-Sobolev inequalities for unbounded spins systems. (255K, Postscript) Oct 6, 99

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Abstract. In this article, we would like to review recent results concerning the links between the decay of correlations, the spectral gap and the Log-Sobolev inequalities. This was motivated by various papers by Antoniouk&Antoniouk, Zegarlinski and Yoshida. We are mainly reporting on contributions by Helffer-Sj\"ostrand, Helffer, Yoshida and Bodineau-Helffer but also present some new results.

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