Interval Exchange Transformations and Measured Foliations

@article{Masur1982IntervalET,
  title={Interval Exchange Transformations and Measured Foliations},
  author={Howard A. Masur},
  journal={Annals of Mathematics},
  year={1982},
  volume={115},
  pages={169}
}
  • H. Masur
  • Published 1982
  • Mathematics
  • Annals of Mathematics
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References

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Projective Swiss Cheeses and Uniquely Ergodic Interval Exchange Transformations
1. Introduction. Recall that an interval exchange on a finite (left closed-right open) interval, J ⊆ ℝ is a transformation, T, of J which results from decomposing J into a finite number of (left
Quadratic differentials and foliations
This paper concerns the interplay between the complex structure of a Riemann surface and the essentially Euclidean geometry induced by a quadratic differential. One aspect of this geometry is the "
Non-ergodic interval exchange transformations
We construct interval exchange transformations on four intervals satisfying a strong irrationality condition and having exactly two ergodic invariant probability measures. This shows that although