Mixing on rank-one transformations
Volume 199 / 2010
Studia Mathematica 199 (2010), 43-72 MSC: Primary 37A25; Secondary 28D05. DOI: 10.4064/sm199-1-4
We prove that mixing on rank-one transformations is equivalent to “the uniform convergence of ergodic averages (as in the mean ergodic theorem) over subsequences of partial sums”. In particular, all polynomial staircase transformations are mixing.