一类有限型子集的Hausdorff测度

Hausdorff Measure of Some Finite-type Subsets

Hausdorff测度的计算是一个难点,有关文献估计了本原矩阵A决定的有限型子集∑A的Hausdorff的测度,但要求A是不可约的或本原的,且A的每行每列至少有一个为1.计算一类有限子集∑A的Hausdorff测度,不要求A满足上述所设的特定条件,从而推广了有关结果.

It is difficult to compute Hausdorff measure. The Hausdorff measure of finite - type subset ∑A, which is decided by the primitive matrix A,is estimated. The matrix A is primitive or irreducible,and there exists an element for 1 in every column and every line of the matrix A. We obtain Hausdorff measure of some finite - type subsets which the matrix A may not satisfy the conditions. Therefore, we generalize the conclusions.