An Isoperimetric Inequality on The Discrete Cube, and An Elementary ...
Ž. function is. This question turns out to be a key to an isoperimetric problem on the discrete cube. As we will see, an appropriate functional isoperimetric inequality contains in a limit case the well-known isoperimetric inequality in Gauss space. Forx,, set 1x Ž. Ž. Ž.x'exp422,Htdt. 2 1, to 0,1 . Letis an increasing bijection from:0,1