S. G. Bobkov, “Localization proof of the isoperimetric Bakry–Ledoux inequality and some applications”, Teor. Veroyatnost. i Primenen., 2002, Volume 47, Issue 2,Pages <nobr>340

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Short Communications

Localization proof of the isoperimetric Bakry–Ledoux inequality and some applications

S. G. Bobkov

University of Minnesota, School of Mathematics

Abstract: A Gaussian-type isoperimetric inequality due to D. Bakry and M. Ledoux is proved by means of the localization lemma of Lovasz and Simonovits. Some applications on sharp large deviations are given.

Keywords: isoperimetric inequality, localization, large deviations.

Received: 20.02.2001

DOI: 10.4213/tvp3652