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

Lluís Alsedà i Soler; David Juher; Jérôme Los

doi:10.1134/S1560354723040093

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

Lluís Alsedà i Soler, David Juher, Jérôme Los

CIS - Centro de Investigación Sociológica

Research output: Contribution to journal › Article › Research › peer-review

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.

Original language	English
Pages (from-to)	0659-667
Number of pages	9
Journal	Regular and Chaotic Dynamics
Volume	28
Issue number	4-5
DOIs	https://doi.org/10.1134/S1560354723040093
Publication status	Published - 2023

Keywords

Surface groups
Bowen - Series maps
Topological entropy
Volume entropy

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10.1134/S1560354723040093

https://ddd.uab.cat/record/289991

Cite this

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title = "On Families of Bowen - Series-Like Maps for Surface Groups",

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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AU - Alsedà i Soler, Lluís

AU - Juher, David

AU - Los, Jérôme

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Surface groups

KW - Bowen - Series maps

KW - Topological entropy

KW - Volume entropy

UR - https://www.scopus.com/pages/publications/85174591673

U2 - 10.1134/S1560354723040093

DO - 10.1134/S1560354723040093

M3 - Article

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EP - 667

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 4-5

ER -

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

Abstract

Keywords

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