Integration by Parts and Its Applications
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چکیده
As a first application of Theorem 0.1 we deduce the concentration of measure property of P� that was alluded to in the first chapter. The claim is simply that with very high probability every Lipschitz-continuous function is very close to its mean, regardless of the value of the ambient dimension �. One can obtain a crude version of this assertion by appealing to the Poincaré inequality of Nash [Corollary 2.5, page 37] and
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تاریخ انتشار 2015