Renormalizing an infinite rational IET
Dynamical Systems
2018-08-31 v1
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.
Keywords
Cite
@article{arxiv.1808.09989,
title = {Renormalizing an infinite rational IET},
author = {W. Patrick Hooper and Kasra Rafi and Anja Randecker},
journal= {arXiv preprint arXiv:1808.09989},
year = {2018}
}
Comments
11 pages, 3 figures