一类递归集的Hausdorff维数及Bouligand维数

On Hatisdorff and Bouligand Dimensions of a Class of Recurrent Sets

本文给出递归集的Ｈａｕｓｄｏｒｆｆ维数的下界估计，并由此确定了一类递归集的维数，所获结果包含并推广了Ｂｅｄｆｏｒｄ，Ｄｅｋｋｉｎｇ及文志英、钟红柳等人的有关结果。

In this paper,we give a lower bound for the Hausdorff dimensions of recurrent sets.Hence,we determine the Hausdorff and Bouligand dimensions of a class of recurrent sets.Thisresult contains and extends some results which have been proved by Bedford,Dekking,Wenzhi-ying and Zhong hong-liu.