魔鬼阶梯的Hausdorff测度与Hausdorff维数

Hausdorff Measure and Hausdorff Dimension in Devil Stair

在分形几何中,Hausdorff测度与维数是基本概念,结合Hausdorff测度与维数的计算,研究了一种特殊的集合-魔鬼阶梯,给出了其Hausdorff测度与Hausdorf维数,并在此基础上将所得的结论进行了推广.

In fractal geometry, Hausdorff measure and Hausdorff dimension are basical concepts ,we study a special set - devil stair and offer its Hausdorff measure and Hausdorff dimension, and then we generalize the result to more general sets.