2018/08/29 by Hooper, W. Patrick, Rafi, Kasra, Randecker, Anja
#32G15 #37D40 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1808.09989
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.