一类齐次Moran集维数的不连续性

Discontinuity of Dimension on Parameters for a Class of Homogeneous Moran Sets for Recurrent Event Data

丰德军等人在他们的相关的论文中介绍了齐次均匀康托集和偏齐次均匀康托集,在本文中我们构造介于两者之间的一类齐次Moran集,给出其豪斯多夫维数的精确计算公式,并讨论维数关于参数的不连续性.

Feng Dejun et al.introduced homogenous Cantor sets and partial homogeneous Cantor sets in their related papers.In this paper,we construct a class of homogeneous Moran sets between them and obtain an exact formula of Hausdorff dimension.In the meantime, we discuss the discontinuity of dimensions on parameters.