Comparison inequality and two block estimate for inhomogeneous Bernoulli measures

dc.creatorQuastel, Jeremy
dc.date2003-03-11
dc.date2003-04-29
dc.date.accessioned2026-07-07T04:55:57Z
dc.date.available2026-07-07T04:55:57Z
dc.descriptionWe consider inhomogeneous Bernoulli measures of the form $\prod_{x\inΛ} p_x$ where $p_x$ 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.
dc.identifierhttps://arxiv.org/abs/math/0303132
dc.identifierhttp://arxiv.org/abs/math/0303132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66759
dc.subjectProbability
dc.subject60K35; 60K37
dc.titleComparison inequality and two block estimate for inhomogeneous Bernoulli measures
dc.typetext

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