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MR1651227 60J45 (31C25 47D07)
Mathieu, P. Quand l'inégalité log-Sobolev implique l'inégalité de trou spectral. (French) [When the log-Sobolev inequality implies the spectral gap inequality] Séminaire de Probabilités, XXXII, 30–35, Lecture Notes in Math., 1686, Springer, Berlin, 1998.
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