Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
classification
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math.PR
keywords
dimensiongaussianinequalityisoperimetricquantitativesharpasymmetrydecay
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We provide a full quantitative version of the Gaussian isoperimetric inequality. Our estimate is independent of the dimension, sharp on the decay rate with respect to the asymmetry and with optimal dependence on the mass.
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