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Moran sets and Moran classes

Zhi-yingWen

2001中国科学通报:英文版Mathematics被引 2

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摘要

The purpose of this survey is to present Moran sets and Moran classes which generalize the classical self-similar sets from the following points: (i) The placements of the basic sets at each step of the constructions can be arbitrary; (ii) the contraction ratios may be different at each step; and (iii) the lower limit of the contraction ratios permits zero. In this discussion we will present geometrical properties and results of dimensions of these sets and classes, and discuss conformal Moran sets and random Moran sets as well.

引用本文(GB/T 7714)

Zhi-ying, Wen. Moran sets and Moran classes[J]. 中国科学通报:英文版, 2001.

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