A group from a map and orbit equivalence
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913674470359040 |
|---|---|
| author | Los, Jérôme Bedoya, Natalia A. Viana |
| author_facet | Los, Jérôme Bedoya, Natalia A. Viana |
| contents | In two papers published in 1979, R. Bowen and C. Series defined a dynamical system from a Fuchsian group, acting on the hyperbolic plane $\mathbb{H}^2$. The dynamics is given by 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_00637 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A group from a map and orbit equivalence Los, Jérôme Bedoya, Natalia A. Viana Dynamical Systems Group Theory 37E10 In two papers published in 1979, R. Bowen and C. Series defined a dynamical system from a Fuchsian group, acting on the hyperbolic plane $\mathbb{H}^2$. The dynamics is given by 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. |
| title | A group from a map and orbit equivalence |
| topic | Dynamical Systems Group Theory 37E10 |
| url | https://arxiv.org/abs/2211.00637 |