Decay of covariances, uniqueness of ergodic component and scaling limit for a class of ∇ φ systems with non-convex potential

Codina Cotar; Jean-Dominique Deuschel

Annales de l'I.H.P. Probabilités et statistiques (2012)

  • Volume: 48, Issue: 3, page 819-853
  • ISSN: 0246-0203

Abstract

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We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. Using a technique which decouples the neighboring vertices into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for ∇ φ -Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.

How to cite

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Cotar, Codina, and Deuschel, Jean-Dominique. "Decay of covariances, uniqueness of ergodic component and scaling limit for a class of $\nabla \phi $ systems with non-convex potential." Annales de l'I.H.P. Probabilités et statistiques 48.3 (2012): 819-853. <http://eudml.org/doc/272098>.

@article{Cotar2012,
abstract = {We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. Using a technique which decouples the neighboring vertices into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for $\nabla \phi $-Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.},
author = {Cotar, Codina, Deuschel, Jean-Dominique},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {effective non-convex gradient interface models; uniqueness of ergodic component; decay of covariances; scaling limit; surface tension},
language = {eng},
number = {3},
pages = {819-853},
publisher = {Gauthier-Villars},
title = {Decay of covariances, uniqueness of ergodic component and scaling limit for a class of $\nabla \phi $ systems with non-convex potential},
url = {http://eudml.org/doc/272098},
volume = {48},
year = {2012},
}

TY - JOUR
AU - Cotar, Codina
AU - Deuschel, Jean-Dominique
TI - Decay of covariances, uniqueness of ergodic component and scaling limit for a class of $\nabla \phi $ systems with non-convex potential
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2012
PB - Gauthier-Villars
VL - 48
IS - 3
SP - 819
EP - 853
AB - We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. Using a technique which decouples the neighboring vertices into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for $\nabla \phi $-Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.
LA - eng
KW - effective non-convex gradient interface models; uniqueness of ergodic component; decay of covariances; scaling limit; surface tension
UR - http://eudml.org/doc/272098
ER -

References

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