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  • Dichotomy law for shrinking...
    SUN, YU; CAO, CHUN-YUN

    Proceedings of the American Mathematical Society, 06/2017, Volume: 145, Issue: 6
    Journal Article

    which is called the Cantor series expansion of x. In this paper, we study the shrinking target problems for the system induced by the Cantor series expansion. More precisely, put T_{Q}^{n}(x)=q_1\cdots q_nx-\lfloor q_1\cdots q_nx\rfloor ; the shrinking target problem in such a nonautonomous system can be formulated as considering the size of the set