A group from a map and orbit equivalence
Résumé
In two papers published in 1979, R. Bowen and R. Bowen and C. Series introduced a dynamical system from a Fuchsian group, acting on the hyperbolic plane H 2. The dynamics is a map on S 1 which is, in particular, an expanding piecewise homeomorphism of the circle. In this paper we consider a reverse question: which dynamical conditions for an expanding piecewise homeomorphism of S 1 are sufficient for the map to be a "Bowen-Series-type" map (see below) for some group G and which groups can occur? We give a partial answer to these questions.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)