publication . Article . Other literature type . 1989

uniqueness of gibbs measures and absorption probabilities

Berbee, Henry;
Open Access
  • Published: 01 Oct 1989 Journal: The Annals of Probability, volume 17, pages 1,416-1,431 (issn: 0091-1798, Copyright policy)
  • Publisher: Institute of Mathematical Statistics
Abstract
L'auteur utilise une chaine de Markov sur des entiers non-negatifs pour etudier les mesures de Gibbs. L'unicite de ces dernieres decoule de l'absorption de la chaine en zero, ce qui resulte d'une certaine inegalite. Pour des systemes unidimensionnels, on generalise un resultat d'unicite de Ruelle et on ameliore quelques autres resultats pour des modeles proches du modele de Ising d'interaction 1/v 2
Subjects
free text keywords: Statistics, Probability and Uncertainty, Statistics and Probability, Uniqueness, Markov operator, Combinatorics, Mathematics, Uniqueness of Gibbs measures, positive operator, duality, absorbing state, inequality, Perron-Frobenius theorem, 82A25, 47D45, 60K35
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publication . Article . Other literature type . 1989

uniqueness of gibbs measures and absorption probabilities

Berbee, Henry;