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Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case

Pietro Caputo
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Abstract

We prove a uniform Poincare' inequality for non-interacting unbounded spin systems with a conservation law, when the single-site potential is a bounded perturbation of a convex function. The result is then applied to Ginzburg-Landau processes to show diffusive scaling of the associated spectral gap.

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Pietro Caputo. 2002-02-04. Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case. https://arxiv.org/abs/math/0202023

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