On Families of Bowen - Series-Like Maps for Surface Groups
Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
Los, Jérôme
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2023
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.
Grants:	Agencia Estatal de Investigación PID2020-118281GB-C31 Ministerio de Ciencia e Innovación CEX2020-001084-M
Note:	Altres ajuts: CERCA Programme/Generalitat de Catalunya
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Surface groups ; Bowen - Series maps ; Topological entropy ; Volume entropy
Published in:	Regular and Chaotic Dynamics, Vol. 28, Issue 4-5 (October 2023) , p. 659-667, ISSN 1468-4845

DOI: 10.1134/S1560354723040093

Available from: 2024-10-31 Postprint

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles