摘要
定义了一类广泛的随机自仿射集，得到了此类集合的Ｈａｕｓｄｏｒｆｆ维数估计．此前的随机自相拟（包括Ｇｒａｆ，Ｍａｕｌｄｉｎ与Ｆａｌｃｏｎｅ等定义的随机自相似情形）和Ｆａｌｃｏｎｅｒ定义的（严格）自仿射以及作者定义的什统计自仿射们形均成为该文结呆的特例．
In this paper we defined a kind of general random self-afine fractals and ob- tained the estimates for the Hausdorff dimension of such sets. The cases of random self- similr fractals defined by Hutchinson, Falconer, Graf, Mauldin and the cases of self-affine fractals defined by Falconer and Yu are entirely included in this paper.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2001年第4期443-452,共10页
Acta Mathematica Scientia
基金
国家自然科学基金资助项目
