Relative entropy and identification of Gibbs measures in dynamical systems
type: Item
instance of: scholarly article
title: Relative entropy and identification of Gibbs measures in dynamical systems
zbMATH Open document ID: 0927.37003
DOI: 10.1023/A:1023220802597
author: K. Appert
published in: Journal of Statistical Physics
publication date: 1999-12-13T00:00:00Z
review text: The idea of using the relative entropy of ergodic measures for the identification of Gibbs measures in dynamical systems has been discussed. The question of identifying be a thermodynamical potential starting from a sample sequence generated by a Gibbs measure when the grammar is raised has been addressed. The authors use two alternative strategies -- using the thermodynamic formalism for dynamical systems and a formalism which applies to a class of stochastic processes. In case of finite range thermodynamic potentials it is shown that both approaches lead to the identification of the original equivalence class of potentials in the limit of diverging observations.
Mathematics Subject Classification ID: 37A50
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37D35
Mathematics Subject Classification ID: 37A60
Mathematics Subject Classification ID: 37B40
zbMATH DE Number: 1279372
zbMATH Keywords: ergodic measures
zbMATH Keywords: Gibbs measures
zbMATH Keywords: thermodynamic formalism
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1279372