摘要
将齐次Moran集迭代过程中的k项序列集Dk={(i1,...,ik):1≤ij≤nj,1≤j≤k}裁减为Dk={(i1,...,ik):1≤ij≤nj, ij≠2 unless ij-1=1, 2≤j≤k},相应的集合称为裁元齐次Moran集.本文确定了一类裁元齐次Moran集的Hausdorff维数.
Dk={(i1,…,ik):1≤ij≤nj,1≤j ≤k}in the iterative process of the homogeneous Moran is reduced to-↑Dk={(i1,…,ik):1 ≤ij≤nj,ij≠2 unless ij-1=1,2≤j ≤k}, the corresponding set is called symmetric cantor set. The Hausdorff dimensions of E are determined.