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A GROUP FROM A MAP AND ORBIT EQUIVALENCE

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Autor(es):
Los, Jerome ; Bedoya, Natalia a. viana
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. N/A, p. 47-pg., 2025-03-25.
Resumo

. In two papers published in 1979, R. Bowen and C. Series defined a dynamical system from a Fuchsian group, acting on the hyperbolic plane H2. The dynamic is given by a map on S1 which is, in particular, a discontinuous expanding piecewise homeomorphism of the circle. In this paper we consider a reverse question: which dynamical conditions for a discontinuous expanding piecewise homeomorphism of S1 are sufficient for the map to be a "BowenSeries-type" map (see below) for some group G and which groups can occur? We give a partial answer to these questions. (AU)

Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
Beneficiário:Daciberg Lima Gonçalves
Modalidade de apoio: Auxílio à Pesquisa - Temático