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arXiv · 1808.09989

Renormalizing an infinite rational IET

W. Patrick Hooper·Kasra Rafi·Anja Randecker
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Abstract

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.

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W. Patrick Hooper, Kasra Rafi, Anja Randecker. 2018-08-29. Renormalizing an infinite rational IET. https://arxiv.org/abs/1808.09989

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