2 00 3 Comparison inequality and two block estimate for inhomogeneous Bernoulli measures


x∈Λ px where px are prescribed and uniformly bounded above and below away from 0 and 1. A comparison inequality is proved between the Kawasaki and Bernoulli-Laplace Dirichlet forms. Together with a recent result of Caputo on the gap of the Bernoulli-Laplace model, this proves a spectral gap of the correct order L on cubes of side length L for the Kawasaki… (More)