一类自仿射集的维数及Hausdorff测度的上界估计  

Dimension and upper bounded estimation on Hausdorff measure of a type of self-affine sets

作　　者：铁勇[1] 杨光俊[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《云南民族大学学报（自然科学版）》2004年第3期179-181,共3页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：云南省应用基础研究基金资助项目(97A003M)

摘　　要：　对于MucMullen自仿射集,一般来说,dimBE≠dimHE.在此讨论其在特殊情况下dimBE和dimHE相等的情形,并举出若干典例,最后对其Hausdorff测度作上界估计.Generally speaking to McMullen self-affine set dim_BE≠dim_HE . Its case of dim_BE=dim_HE will be discussed in the special case, and giving many typical examples. At last, we go on estimating on the upper bound of Hausdorff measure.

关 键 词：自仿射集 维数 HAUSDORFF测度 上界估计 

分 类 号：O174.12[理学—数学]