具有有限交性质的广义图定向递归集的重分形分解

本文作者利用马尔科夫型测度证明了对一类允许适当交叠的递归集,在满足有限交性质情况下,重分形分解仍成立。     

一类随机递归集的重分形分解

本文讨论了一类广义的随机递归集的重分形性质,通过将其构造中的子集间的不重叠条件减弱到有限交性质,使得子集间允许适当重叠,同时保证递归集不为空集和其重分形维数计算仍具有明显的表达式.     

有限义性质下一类广义MORAN集的重分形分解

本文在一类广义Moran集上定义了一种弱分离条件－有限交性质,并证明了重分形分解在广泛的一类分形上仍然成立。本文部分的推广了Cawley和Manlain的结果。     

MULTIFRACTAL DECOMPOSITION OF CERTAIN RECURSIVE SETS WITHOUT THE OPEN SET CONDITION

1 IntroductionMultifractal decomposition has been investigated by rnany authors, it has become a use-ful tool in the fractal allalysis. Cawley and Mauldin had given good results on Moran fractaldecomPosition[3], Edgar and Mauldin studied the degraph multifractals[4], Falconer random-nized Cawley's results and the latest results on random selfsidrilar multifractals were doneby Arbeiter and Patzschke under rather weak .o1ldition.I2J. However, all these results wereestablished on certain sepa…