Minimal C1-diffeomorphisms of the circle which admit measurable fundamental domains

Roki Kodama, Shigenori Matsumoto

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We construct, for each irrational number α, a minimal C1-diffeomorphism of the circle with rotation number α which admits a measurable fundamental domain with respect to the Lebesgue measure.

Original languageEnglish
Pages (from-to)2061-2067
Number of pages7
JournalProceedings of the American Mathematical Society
Volume141
Issue number6
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Diffeomorphism
  • Ergodicity
  • Minimality
  • Rotation number

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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