An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space
Bobkov, S. G.
Ann. Probab., Tome 25 (1997) no. 4, p. 206-214 / Harvested from Project Euclid
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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.
Publié le : 1997-01-14
Classification:  Isoperimetry,  discrete cube,  Gaussian measure,  60B,  60G15 
@article{1024404285,
     author = {Bobkov, S. G.},
     title = {An isoperimetric inequality on the discrete cube, and an
		 elementary proof of the isoperimetric inequality in Gauss space},
     journal = {Ann. Probab.},
     volume = {25},
     number = {4},
     year = {1997},
     pages = { 206-214},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1024404285}
}

Bobkov, S. G. An isoperimetric inequality on the discrete cube, and an
		 elementary proof of the isoperimetric inequality in Gauss space. Ann. Probab., Tome 25 (1997) no. 4, pp.  206-214. http://gdmltest.u-ga.fr/item/1024404285/