## Abstract

We construct, for each irrational number α, a minimal C^{1}-diffeomorphism of the circle with rotation number α which admits a measurable fundamental domain with respect to the Lebesgue measure.

Original language | English |
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Pages (from-to) | 2061-2067 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 141 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2013 |

Externally published | Yes |

## Keywords

- Diffeomorphism
- Ergodicity
- Minimality
- Rotation number

## ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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