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arXiv · 1403.6568

Whirly 3-Interval Exchange Transformations

Yue Wu
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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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BibTeXRIS

Yue Wu. 2015-04-11. Whirly 3-Interval Exchange Transformations. https://doi.org/10.1017/etds.2015.63

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