Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case

Pietro Caputo

Stochastic Processes and their Applications, 2003, vol. 106, issue 2, 223-244

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

Keywords: Conservative; spin; systems; Poincare; inequality; Ginzburg-Landau; process; Spectral; gap (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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