§11.3: Borell’s Isoperimetric Theorem

If we believe that the Majority Is Stablest Theorem should be true, then we also have to believe in its “Gaussian special case”. Let’s see what this Gaussian special case is. Suppose $f : {\mathbb R}^n \to [-1,1]$ is a “nice” function (smooth, say, with all derivatives bounded) having $\mathop{\bf E}[f] = 0$. You’re [...]

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