摘要
广义自相似集的维数研究华苏（清华大学应用数学系，北京１０００８４）ＯＮＴＨＥＤＩＭＥＮＳＩＯＮＯＦＧＥＮＥＲＡＬＩＺＥＤＳＥＬＲ－ＳＩＭＩＬＡＲＳＥＴＳ￥ＨＵＡＳＵ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＴｓｉｎｇｈｕａＵｎｉ...
Inthis paper,the fractal constructed by the variant-scalar contraction mappings is studied.A kind of generalized self-similar sets is introduced and the properties of their net-measure are discussed.From these properties,Hausdorff dimension and Bouligand dimension are determined. Moreover,some notes and examples are fiven.
出处
《应用数学学报》
CSCD
北大核心
1994年第4期551-558,共8页
Acta Mathematicae Applicatae Sinica
基金
清华大学理学院基金
