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arxiv: math/0304343 · v1 · submitted 2003-04-22 · 🧮 math.PR

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On some inequalities for Gaussian measures

Rafa{\l} Lata{\l}a
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classification 🧮 math.PR
keywords inequalitygaussianinequalitiesmeasuresbobkovconcerningconjecturecorrelation
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We review several inequalities concerning Gaussian measures - isoperimetric inequality, Ehrhard's inequality, Bobkov's inequality, S-inequality and correlation conjecture.

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    Any centered 1-subgaussian random vector equals the sum of a universal number of standard Gaussians, solving Talagrand's convexity conjecture.