Whirly 3-Interval Exchange Transformations
Dynamical Systems
2015-09-14 v4
Abstract
Irreducible interval exchange transformations are studied with regard to whirly property, a condition for non-trivial spatial factor. Uniformly whirly transformation is defined and to be further studied. An equivalent condition is introduced for whirly transformation. We will prove that almost all 3-interval exchange transformations are whirly, using a combinatorics approach with application of the Rauzy-Veech Induction. It is still an open question whether whirly property is a generic property for m-interval exchange transformations (m>=4).
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Cite
@article{arxiv.1403.6568,
title = {Whirly 3-Interval Exchange Transformations},
author = {Yue Wu},
journal= {arXiv preprint arXiv:1403.6568},
year = {2015}
}
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12 pages