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Irrational rotation factors for conservative torus homeomorphisms

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Autor(es):
Jaeger, T. ; Tal, F.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Ergodic Theory and Dynamical Systems; v. 37, p. 10-pg., 2017-08-01.
Resumo

We provide an equivalent characterization for the existence of one-dimensional irrational rotation factors of conservative torus homeomorphisms that are not eventually annular. It states that an area-preserving non-annular torus homeomorphism f is semiconjugate to an irrational rotation R-alpha of the circle if and only if there exists a well-defined speed of rotation in some rational direction on the torus, and the deviations from the constant rotation in this direction are uniformly bounded. By means of a counterexample, we also demonstrate that a similar characterization does not hold for eventually annular torus homeomorphisms. (AU)

Processo FAPESP: 11/16265-8 - Dinâmica em baixas dimensões
Beneficiário:Edson Vargas
Modalidade de apoio: Auxílio à Pesquisa - Temático