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Relative entropy and identification of Gibbs measures in dynamical systems

  • Ctr. de Phys. Theor. Luminy
  • Camp. Univ. UAEM-UNAM Chamilpa

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)697-725
Number of pages29
JournalJournal of Statistical Physics
Volume90
Issue number3-4
DOIs
Publication statusPublished - 1 Jan 1998
Externally publishedYes

Keywords

  • Gibbs measures
  • Grammars
  • Relative entropy
  • Thermodynamic formalism

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