Sur les processus quasi-Markoviens et certains de leurs facteurs

• Autorzy: Thierry de la Rue
• Języki publikacji: FR EN

Abstrakty

EN

We study a class of stationary finite state processes, called quasi-Markovian, including in particular the processes whose law is a Gibbs measure as defined by Bowen. We show that, if a factor with integrable coding time of a quasi-Markovian process is maximal in entropy, then this factor splits off, which means that it admits a Bernoulli shift as an independent complement. If it is not maximal in entropy, then we can find a splitting finite extension of this factor, which generalizes a theorem of Rahe. In particular, this result applies to a factor of a hyperbolic automorphism of the torus generated by a partition which is regular enough.

Kategorie tematyczne

• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 2
• Strony: 215-230

Daty

wydano

2005

Twórcy

autor

Thierry de la Rue

• Laboratoire de Mathématiques Raphaël Salem, UMR 6085 CNRS - Université de Rouen, Avenue de l'Université, B.P. 12, F-76801 Saint-Étienne-du-Rouvray Cedex, France

Identyfikatory

DOI

10.4064/cm103-2-7