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- W2074962012 abstract "We give a martingale proof of Gaussian isoperimetry, which also contains Bobkov's inequality on the two-point space and its extension to non symmetric Bernoulli measures. We derive the equivalence of different forms of Gaussian type isoperimetry. This allows us to prove a sharp form of Bobkov's inequality for the sphere and to get isoperimetric estimates for the unit cube. Nous donnons une démonstration de l'isopérimétrie gaussienne par une technique de martingale. Cette démonstration fournit aussi l'inégalité de Bobkov sur l'espace à deux points et une généralisation aux mesures de Bernoulli non symétriques. Nous montrons l'équivalence de plusieurs formes d'inégalités isopérimétriques de type gaussien. Ceci nous permet de prouver une inégalité de Bobkov précise pour la sphère et d'obtenir des estimations isopérimétriques pour le cube unité." @default.
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- W2074962012 date "2000-07-01" @default.
- W2074962012 modified "2023-10-17" @default.
- W2074962012 title "Some remarks on isoperimetry of Gaussian type" @default.
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- W2074962012 doi "https://doi.org/10.1016/s0246-0203(00)00131-x" @default.
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