某类整函数Julia集的Hausdorff维数

Hausdorff Dimension of Julia Sets of Some Entire Functions

讨论了ｆλ的动力系统的某些性质，利用ＭｃＭｕｌｌｅｎ的方法，构造了一个集合Ｅ，Ｅ是ｆλ的Ｊｕｌｉａ集的子集，并证明Ｅ的Ｈａｕｓｄｏｒｆｆ维数是２．从而，ｆλ的Ｊｕｌｉａ集的Ｈａｕｓｄｏｒｆｆ维数是２．

Properties about the iteration of fλ are discussed. By McMullen's method, a subset E in the Julia set of fλ is constructed and it is proved that the Hausdorff dimension of E is two, and further that for any, the Hausdorff dimension of the dimension of the Julia set of fλ is two.