Occurrence of rare events in ergodic interacting spin systems
type: Item
instance of: scholarly article
title: Occurrence of rare events in ergodic interacting spin systems
zbMATH Open document ID: 0890.60089
DOI: 10.1016/S0246-0203(97)80111-2
author: Amine Asselah
author: Paolo Dai Pra
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1998-01-28T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77588
review text: The asymptotics for the occurrence time of rare events in infinite spin systems is studied. The main assumption is that the system has invariant measure satisfying the logarithmic Sobolev inequality. With the help of the Freidlin and Wentzell theory, the typical path close to the occurrence time is also described. In the independent case, the resulting estimates are sharp.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 1100521
zbMATH Keywords: interacting spin systems
zbMATH Keywords: large deviations
reviewed by: Mu-Fa Chen
MaRDI profile type: Publication
OpenAlex ID: W1589510286
description: scientific article; zbMATH DE number 1100521