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期刊论文
Some dimensional results for homogeneous Moran sets∗
Science in China (Series A), 40(1997)475-482,-0001,():
Let M({nk}k≥1, {ck}k≥1) be the collection of homogeneous Moran sets deter-mined by {nk}k≥1 and {ck}k≥1, where {nk}k≥1 is a sequence of positive integers and {ck}k≥1 a sequence of positive numbers. In this paper, we determine the maximal and minimal values of Hausdorff dimensions for elements in M. We also prove that for any value s between the maximal and minimal values, there exists an element in M({nk}k≥1, {ck}k≥1) such that its Hausdorff dimension is equal to its. The same results hold for Packing dimension. In the meantime, some other properties of homogeneous Moran sets are discussed.
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