Slow decay of Gibbs measures with heavy tails - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2008

Slow decay of Gibbs measures with heavy tails

Résumé

We consider Glauber dynamics reversible with respect to Gibbs measures with heavy tails. Spins are unbounded. The interactions are bounded and finite range. The self potential enters into two classes of measures, $\kappa$-concave probability measure and sub-exponential laws, for which it is known that no exponential decay can occur. We prove, using coercive inequalities, that the associated infinite volume semi-group decay to equilibrium polynomially and stretched exponentially, respectively. Thus improving and extending previous results by Bobkov and Zegarlinski.
Fichier principal
Vignette du fichier
weak-poincare-mecastat.pdf (279.5 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00339368 , version 1 (17-11-2008)

Identifiants

Citer

Cyril Roberto. Slow decay of Gibbs measures with heavy tails. 2008. ⟨hal-00339368⟩
55 Consultations
76 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More