Structure of Three-interval Exchange Transformations Ii : a Combinatorial Description of the Trajectories

@inproceedings{Ferenczi2001StructureOT,
  title={Structure of Three-interval Exchange Transformations Ii : a Combinatorial Description of the Trajectories},
  author={S{\'e}bastien Ferenczi and Charles Holton and Luca Q. Zamboni and BSTRACT},
  year={2001}
}
We describe an algorithm for generating the symbolic sequences which code the orbits of points under an interval exchange transformation on three intervals. The algorithm has two components. The first is an arithmetic division algorithm applied to the lengths of the intervals. This arithmetic construction was originally introduced by the authors in an earlier paper and may be viewed as a two-dimensional generalization of the regular continued fraction. The second component is a combinatorial… CONTINUE READING

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