par Martinez, Servet;Tirapegui, Enrique 
Référence Journal of statistical physics, 48, 5-6, page (1283-1294)
Publication Publié, 1987-09
Référence Journal of statistical physics, 48, 5-6, page (1283-1294)
Publication Publié, 1987-09
Article révisé par les pairs
| Résumé : | The image of Dirac measures τx by the operator Λ of the construction of Prigogine and collaborators is shown to be concentrated in the stable manifold Xst(x) and its density function ρ is studied for Bernoulli shifts. The value v∞ = exp[-hμ(T)], where hμ(T) is the Kolmogorov entropy, appears as a critical point for the behavior of ρ. It is also proved that no loss of information is involved by passing from the dynamical system to the Markov process when vx > 1/2. The discussion is based on the introduction of an invariant for Markov systems that generalizes the usual Kolmogorov entropy for dynamical systems. © 1987 Plenum Publishing Corporation. |
