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

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

2002-02-04

arxiv.org/abs/math/0202023v2

Stochastic Processes and Applications 106, No. 2, 223--244 (2003)

Mathematics

Probability

19 pages, revised version, to appear in Stoch. Proc. Appl

Scientific paper

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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