具有重叠结构不变集的Hausdorff维数

具有重叠结构不变集的Hausdorff维数 THE HAUSDORFF DIMENSION OF SOME INVARIANT SETS OF OVERLAPPING CONSTRUCTION 吴敏 Wu Min 1 first-author 武汉大学数学系 武汉大学数学系 Department of mathematics ,Wuhan University Department of mathematics ,Wuhan University 对一族有重叠结构的相似压缩映射下的不变集,利用其自相似结构,给出它的 Hausdorff维数一个算法,并且具体计算和估计了一类有重叠的自相似集的 Hausdorff 维数。 We introduce a method to calculate and estimate the Hausdorff dimension of certain fractals of overlapping construction. The method is used to calculate the dimension of some self-similar sets of overlapping construction. 分形 Hausdorff 维效 自相似集 fractal Hausdorff dimension self-similar set O174.12 1993-06-01 2021-04-01 6