On families of Bowen-Series-like maps for surface groups
We review some recent results on a class of maps, called Bowen-Series-like, obtained from a class of group presentations for surface groups. These maps are piecewise homeomorphisms of the circle with finitely many discontinuities. The topological entropy of each map in the class and its relationship...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2023 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/23606 |
| Acesso em linha: | http://hdl.handle.net/10256/23606 |
| Access Level: | Acesso embargado |
| Palavra-chave: | Entropia topològica Topological entropy Dinàmica topològica Topological dynamics |
| Resumo: | We review some recent results on a class of maps, called Bowen-Series-like, obtained from a class of group presentations for surface groups. These maps are piecewise homeomorphisms of the circle with finitely many discontinuities. The topological entropy of each map in the class and its relationship with the growth function of the group presentation is discussed, as well as the computation of these invariants |
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