Renormalizing an infinite rational IET
Autor: | Hooper, W. Patrick, Rafi, Kasra, Randecker, Anja |
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Rok vydání: | 2018 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We study an interval exchange transformation of [0,1] formed by cutting the interval at the points 1/n and reversing the order of the intervals. We find that the transformation is periodic away from a Cantor set of Hausdorff dimension zero. On the Cantor set, the dynamics are nearly conjugate to the 2-adic odometer. Comment: 11 pages, 3 figures |
Databáze: | arXiv |
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