Jerome Los
Aix Marseille Université
Publications:
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Alsedà L., Juher D., Los J., Mañosas F.
On Families of Bowen – Series-Like Maps for Surface Groups
2023, vol. 28, nos. 4-5, pp. 659-667
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.
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