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Relative Entropy and Identification of Gibbs Measures in Dynamical Systems
Authors:J.-R. Chazottes  E. Floriani  R. Lima
Affiliation:(1) Centre de Physique Théorique C.N.R.S, Marseille, France, and;(2) Centro Internacional de Ciencias A.C., Campus Universitario UAEM-UNAM Chamilpa, Cuernavaca-Morelos, Mexico
Abstract:In this work we explore the idea of using the relative entropy of ergodic measures for the identification of Gibbs measures in dynamical systems. The question we face is how to estimate the thermodynamic potential (together with a grammar) from a sample produced by the corresponding Gibbs state.
Keywords:Relative entropy  thermodynamic formalism  Gibbs measures  grammars
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