摘要
给出了强开集条件和双Lipschitz条件下自相似测度的Hausdorff维数的上下界估计.我们通过对吸引子的局部性质的研究,给出了对吸引子的点态维数的估计,从而得到了本文的主要结果.
In this paper,we give the upper and the lower bound of the Hausdorff dimension of the selfsimilar measure under SOSC and double Lipschitz condition.To obtain them,we first give some local properties of the attractor; then apply them to the estimate of the local dimension of the selfsimilar measure and finally get the result we want by relating local dimension to the whole dimension.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
2003年第2期32-35,42,共5页
Journal of Nanjing Normal University(Natural Science Edition)
