随机次自相似集的表示

THE EXPRESSION FOR RANDOM SUB-SELF-SIMILAR SETS

本文引进了随机次自相似集与随机推移集的概念 ,讨论了随机次自相似集的结构 ,并证明了任一随机集是随机次自相似集的充分必要条件是

First of all we introduce the concepts for random sub self similar sets and randon shift sets, and then investigate the structure of random sub self similar set, finally we obtain that the necessary and suffieient condition for amy random set being a random sub self similar set is that this random set can be expressed by an image set on some randvm shift set.