dc.contributor
Agencia Estatal de Investigación
dc.contributor.author
Alsedà i Soler, Lluís
dc.contributor.author
Juher, David
dc.contributor.author
Los, Jérôme
dc.contributor.author
Mañosas, Francesc
dc.date.accessioned
2025-12-05T10:26:29Z
dc.date.available
2025-12-05T10:26:29Z
dc.identifier
http://hdl.handle.net/10256/27830
dc.identifier.uri
https://hdl.handle.net/10256/27830
dc.description.abstract
We define a family of discontinuous maps on the circle, called Bowen–Series-like maps, for geometric presentations of surface groups. The family has 2N parameters, where 2N is the number of generators of the presentation. We prove that all maps in the family have the same topological entropy, which coincides with the volume entropy of the group presentation. This approach allows a simple algorithmic computation of the volume entropy from the presentation only, using the Milnor–Thurston theory for one-dimensional maps
dc.description.abstract
This work has been possible due to the financial support of our respective institutions, the MCIU grant numbers PID2020-118281GB-C31 and PID2023-146424NB-I00, and the Generalitat de Catalunya grant number 2021 SGR 00113
dc.description.abstract
Open Access funding provided thanks to the CSUC agreement with Cambridge University Press (CUP)
dc.format
application/pdf
dc.publisher
Cambridge University Press (CUP)
dc.relation
info:eu-repo/semantics/altIdentifier/doi/10.1017/etds.2025.10245
dc.relation
info:eu-repo/semantics/altIdentifier/issn/0143-3857
dc.relation
info:eu-repo/semantics/altIdentifier/eissn/1469-4417
dc.relation
PID2023-146424NB-I00
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2023-146424NB-I00/ES/SISTEMAS DINAMICOS EN DIMENSION BAJA: TOPOLOGIA, GEOMETRIA, COMBINATORIA Y BIFURCACIONES/
dc.rights
Attribution 4.0 International
dc.rights
http://creativecommons.org/licenses/by/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Ergodic Theory and Dynamical Systems , First View , pp. 1 - 36
dc.source
Articles publicats (D-IMA)
dc.subject
Entropia topològica
dc.subject
Topological entropy
dc.subject
Dinàmica topològica
dc.subject
Topological dynamics
dc.title
Entropy stability and Milnor–Thurston invariants for Bowen–Series-like maps
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
