## L evy-Gromov isoperimetric inequality for an innnite dimensional diiusion generator

- D Bal, M Bakry, Ledoux
- Invent. math
- 1996

We study some discrete isoperimetric and Poincar e-type inequalities for product probability measures n on the discrete cube f0; 1g n and on the lattice Z n. In particular we prove sharp lower estimates for the product measures of 'bound-aries' of arbitrary sets in the discrete cube. More generally, we characterize those probability distributions on Z which… (More)