Note on powers in three interval exchange transformations
نویسندگان
چکیده
منابع مشابه
A Note on Rotations and Interval Exchange Transformations on 3-intervals
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) → (3, 2, 1), and rationally independent discontinuity points. AMS Subject Classification: 28D05
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Definition 1. Let r ≥ 2. Let Λr be the set of vectors (λ1, ...λr) in IR such that 0 ≤ λi ≤ 1 for all i and Σi=1λi = 1. An r-interval exchange transformation, or iet for short, is given by a vector λ ∈ Λr and a permutation π of {1, 2, . . . , r}. The map Tλ,π is the piecewise translation defined by partitioning the interval X = [0, 1[ into r sub-intervals of lengths λ1, λ2, . . . , λr and rearra...
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عنوان ژورنال:
- Theor. Comput. Sci.
دوره 412 شماره
صفحات -
تاریخ انتشار 2011