Renormalizing an infinite rational IET

Autor: Hooper, W. Patrick, Rafi, Kasra, Randecker, Anja
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