一类随机Moran集的分形维数

THE FRACTAL DIMENSIONS OF A CLASS OF RANDOM MORAN SETS

本文研究了随机压缩向量满足一定条件下的随机Moran集的分形维数.利用计算上盒维数的上界和分形维数之间的性质,得到Moran集各种分形维数.并在一般情形下,给出随机Moran集的上盒维数的上界.

This paper is about a class of random Moran sets satisfied given conditions. It gains almost all the fractal dimensions by thinking about the upper boxing-dimension and using the properties of the fractal dimensions. It also gets the upper bound of the upper boxing-dimension of the generalized random Moran set.