THE REGULARITY OF RANDOM GRAPH DIRECTED SELF-SIMILAR SETS 被引量：2

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摘要 A set in Rd is called regular if its Hausdorff dimension coincides with its upper box counting dimension.It is proved that a random graph-directed self-similar set is regular a.e..

作者 Zhang Xiaoqun Liu Yanyan 张晓群;刘妍岩(Department of Mathematics,Wuhan University,Wuhan 430072,China)

机构地区 Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2004年第3期485-492,共8页 数学物理学报(B辑英文版)

基金 supported by the NNSF of China(10201027)

关键词 Random graph-directed self-similar set Hausdorff dimension box-counting dimension REGULAR

分类号 O144 [理学—基础数学]

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Acta Mathematica Scientia

2004年第3期

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THE REGULARITY OF RANDOM GRAPH DIRECTED SELF-SIMILAR SETS 被引量：2

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