Abstract
A weakly mixing transformationT and a sequence (d n) are constructed such thatT is uniformly mixing on (d n),T is uniformly sweeping out on ([αd n]) for allα∈(0, 1), and for all rationalα∈(0, 1)T is not mixing on ([αd n]).
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Friedman, N.A. Mixing and sweeping out. Israel J. Math. 68, 365–375 (1989). https://doi.org/10.1007/BF02764991
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DOI: https://doi.org/10.1007/BF02764991