1Department of Mathematics University of California, Los Angeles Box 951555 Los Angeles, CA 90095-1555, U.S.A. 2Department of Mathematics Williams College Williamstown, MA 01267, U.S.A.
Studia Mathematica, Tome 199 (2010) no. 1, pp. 43-72
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.
1
Department of Mathematics University of California, Los Angeles Box 951555 Los Angeles, CA 90095-1555, U.S.A.
2
Department of Mathematics Williams College Williamstown, MA 01267, U.S.A.
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Darren Creutz; Cesar E. Silva. Mixing on rank-one transformations. Studia Mathematica, Tome 199 (2010) no. 1, pp. 43-72. doi: 10.4064/sm199-1-4
