Self-Affine Sets with Positive Lebesgue Measure
Self-Affine Sets with Positive Lebesgue Measure
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DOI：
10.1016/j.indag.2014.04.009
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
K. Dajani;Kan Jiang;Tom Kempton
中科院分区：
文献类型：
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作者：
K. Dajani;Kan Jiang;Tom Kempton
利用C.Günürk介绍的技巧，我们证明了一族重叠自仿射迭代函数系统的吸引子对一定范围内的所有参数都包含一个零点邻域.这对应于给出了一个条件，在这些条件下，单个序列可以作为不同基数中不同数字的“同时β展开”。
Using techniques introduced by C. Güntürk, we prove that the attractors of a family of overlapping self-affine iterated function systems contain a neighbourhood of zero for all parameters in a certain range. This corresponds to giving conditions under which a single sequence may serve as a ‘simultaneous β-expansion’of different numbers in different bases.