Résumé
Nous montrons que, sur une variété Riemannienne de volume fini, l'inégalité de Sobolev logarithmique implique l'inégalité de trou spectral.
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© 1998 Springer-Verlag
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Mathieu, P. (1998). Quand l'inegalite log-Sobolev implique l'inegalite de trou spectral. In: Azéma, J., Yor, M., Émery, M., Ledoux, M. (eds) Séminaire de Probabilités XXXII. Lecture Notes in Mathematics, vol 1686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101748
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DOI: https://doi.org/10.1007/BFb0101748
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