M ar 2 00 3 Poincare inequalities for inhomogeneous Bernoulli measures

Abstract

x∈Λ px where px are prescribed and uniformly bounded above and below away from 0 and 1. Poincare inequalities are proved for the Glauber and Kawasaki dynamics, with constants of the same order as in the homogeneous case. 1. Inhomogeneous Bernoulli measures. Let hx ∈ [−K,K], x ∈ ZZ d be given and let px = ex 1 + ehx , x ∈ ZZ . For any Λ ⊂ ZZ d the inhomogeneous Bernoulli measure μΛ(η) on {0, 1} Λ is given by μΛ(η) = ∏

Cite this paper

@inproceedings{Quastel2003MA2, title={M ar 2 00 3 Poincare inequalities for inhomogeneous Bernoulli measures}, author={Jeremy Quastel}, year={2003} }