IJPAM: Volume 1, No. 2 (2002)

A NOTE ON ROTATIONS AND INTERVAL
EXCHANGE TRANSFORMATIONS ON 3-INTERVALS

Karma Dajani
Universiteit Utrecht
Mathematical Institute
3508 TA Utrecht, THE NETHERLANDS
e-mail: dajani@math.uu.nl


Abstract.We show that no interval exchange transformation can be a conjugacy between an irrational rotation and an interval exchange transformation on 3-intervals with corresponding permutation $(1,2,3)\rightarrow (3,2,1),$ and rationally independent discontinuity points.

Received: December 31, 2001

AMS Subject Classification: 28D05

Key Words and Phrases: rotations, interval exchange

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 1
Issue: 2