Comparison inequality and two block estimate for inhomogeneous Bernoulli measures
Abstract
We consider inhomogeneous Bernoulli measures of the form Πx∈ 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-2 on cubes of side length L for the Kawasaki dynamics. The two block estimate of hydrodynamic limits is also obtained.
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