Dimensional Results for Cartesian Products of Homogeneous Moran Sets  

作　　者：Li CAO Xing-Gang HE 

机构地区：[1]School of Mathematics and Statistics,Wuhan University [2]College of Mathematics and Statistics,Central China Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第4期673-680,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10771082 and 10871180)

摘　　要：M（J, {ms ＊ ns}, {Cs}） be the collection of Cartesian products of two homogenous Moran sets with the same ratios {cs} Where J = [0, 1] × [0, 1]. Then the maximal and minimal values of the Hausdorff dimensions for the elements in M are obtained without any restriction on {msns} or {cs}.M（J, {ms ＊ ns}, {Cs}） be the collection of Cartesian products of two homogenous Moran sets with the same ratios {cs} Where J = [0, 1] × [0, 1]. Then the maximal and minimal values of the Hausdorff dimensions for the elements in M are obtained without any restriction on {msns} or {cs}.

关 键 词：Homogeneous Moran sets Cartesian product Hausdorff dimension 

分 类 号：O144[理学—数学]