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BIBTEX RIS

On the minimality of semigroup actions on the interval which are C 1 -close to the identity

2014; Wiley; Volume: 109; Issue: 5 Linguagem: Inglês

10.1112/plms/pdu032

ISSN

1460-244X

Autores

Katsutoshi Shinohara,

Tópico(s)

Quantum chaos and dynamical systems

Resumo

We consider semigroup actions on the interval generated by two attracting maps. It is known that if the generators are sufficiently C 2 -close to the identity, then the minimal set coincides with the whole interval. In this article, we give a counterexample to this result in the C 1 -topology.

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