Abstract
In this paper we consider the sequence of Kakutani’s α-refinements corresponding to the inverse of the golden ratio (which we call the Kakutani–Fibonacci sequence of partitions) and associate to it an ergodic interval exchange (which we call the Kakutani–Fibonacci transformation) using the ‘cutting–stacking’ technique. We prove that the orbit of the origin under this map coincides with a low discrepancy sequence (which we call the Kakutani–Fibonacci sequence of points), which has also been considered by other authors.
Originalsprache | englisch |
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Seiten (von - bis) | 1794-1806 |
Fachzeitschrift | Ergodic Theory and Dynamical Systems |
Jahrgang | 34 |
Ausgabenummer | 6 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2014 |
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Theoretical