某些删除数字集的交集
Intersections of certain deleted digits sets
摘要：
本文研究了消去数Cantor集与其平移数的交的一些性质。我们调查的条件的数字集，使任何t之间的零和删除的数字康托尔集本身的尺寸，一组的翻译，使交集的豪斯多夫维数等于t是密集的集合F的翻译，使交集是非空的。我们对集合F的性质做了一些简单的观察，特别是，我们根据数集上的条件刻画了F是区间的情况。
英文摘要：
We consider some properties of the intersection of deleted digits Cantor sets with their translates. We investigate conditions on the set of digits such that, for any t between zero and the dimension of the deleted digits Cantor set itself, the set of translations such that the intersection has Hausdorff dimension equal to t is dense in the set F of translations such that the intersection is non-empty. We make some simple observations regarding properties of the set F, in particular, we characterize when F is an interval, in terms of conditions on the digit set.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
