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1 paper

math.PR2006

Modified log-Sobolev inequalities and isoperimetry

Alexander V. Kolesnikov

We find sufficient conditions for a probability measure to satisfy an inequality of the type $$ \int_{\R^d} f^2 F\Bigl(\frac{f^2}{\int_{\R^d} f^2 d μ} \Bigr) d μ\le C \int_{\R^…