Abstract
We prove an isoperimetric inequality on the discrete cube which is the precise analog of a logarithmic inequality due to Talagrand. As a consequence, the Gaussian isoperimetric inequality is derived.
Citation
S. G. Bobkov. "An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space." Ann. Probab. 25 (1) 206 - 214, January 1997. https://doi.org/10.1214/aop/1024404285
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