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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
Аннотация:
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.
Ключевые слова:
Surface groups, Bowen – Series maps, topological entropy, volume entropy.
Поступила в редакцию: 22.03.2023 Принята в печать: 17.07.2023
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1226 https://www.mathnet.ru/rus/rcd/v28/i4/p659
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