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Regular and Chaotic Dynamics, 2023, Volume 28, Issue 4-5, Pages 659–667
DOI: https://doi.org/10.1134/S1560354723040093 (Mi rcd1226) 		 
Special Issue: On the 80th birthday of professor A. Chenciner

On Families of Bowen – Series-Like Maps for Surface Groups

Lluís Alsedàab, David Juherc, Jérôme Los, Francesc Mañosasd

a Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Barcelona, Spain
b Departament de Matemàtiques, Campus de Bellaterra, Edifici C, 08193 Barcelona, Spain
c Departament d’Informàtica i Matemàtica Aplicada, Universitat de Girona, 17003 Girona, Spain
d Aix-Marseille Université, 3 place Victor Hugo, 13331 Marseille Cedex 3, France
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DOI: https://doi.org/10.1134/S1560354723040093
Abstract: We review some recent results on a class of maps, called Bowen – Series-like maps, 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.
Keywords: Surface groups, Bowen – Series maps, topological entropy, volume entropy.
Funding agency Grant number
Ministerio de Ciencia e Innovación de España PID2020-118281GB-C31
Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D CEX2020-001084-M
Agencia Estatal de Investigacion 10.13039/501100011033
This work has been possible due to the financial support of our respective institutions, the MICINN grant number PID2020-118281GB-C31 and the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) funded by MCIN/AEI/10.13039/501100011033. We thank CERCA Programme/Generalitat de Catalunya for institutional support.
Received: 22.03.2023
Accepted: 17.07.2023
Document Type: Article
MSC: 57M07, 57M05, 37E10, 37B40, 37B10
Language: English
Citation: Lluís Alsedà, David Juher, Jérôme Los, Francesc Mañosas, “On Families of Bowen – Series-Like Maps for Surface Groups”, Regul. Chaotic Dyn., 28:4-5 (2023), 659–667
Citation in format AMSBIB
\Bibitem{AlsJuhLos23}
\by Llu{\'\i}s Alsed\`a, David Juher, J\'er\^ome Los, Francesc Ma\~nosas
\paper On Families of Bowen – Series-Like Maps for Surface Groups
\jour Regul. Chaotic Dyn.
\yr 2023
\vol 28
\issue 4-5
\pages 659--667
\mathnet{http://mi.mathnet.ru/rcd1226}
\crossref{https://doi.org/10.1134/S1560354723040093}
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