Sur les processus quasi-Markoviens et certains de leurs facteurs

Thierry de la Rue

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 2, page 215-230
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Thierry de la Rue. "Sur les processus quasi-Markoviens et certains de leurs facteurs." Colloquium Mathematicae 103.2 (2005): 215-230. <http://eudml.org/doc/284380>.

@article{ThierrydelaRue2005,
author = {Thierry de la Rue},
journal = {Colloquium Mathematicae},
keywords = {Bernoulli shift; factor of a dynamical system; quasi-Markovian process; Gibbs measure; hyperbolic automorphism},
language = {fre},
number = {2},
pages = {215-230},
title = {Sur les processus quasi-Markoviens et certains de leurs facteurs},
url = {http://eudml.org/doc/284380},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Thierry de la Rue
TI - Sur les processus quasi-Markoviens et certains de leurs facteurs
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 215
EP - 230
LA - fre
KW - Bernoulli shift; factor of a dynamical system; quasi-Markovian process; Gibbs measure; hyperbolic automorphism
UR - http://eudml.org/doc/284380
ER -

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