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5. THE REGULARITY OF RANDOM GRAPH DIRECTED SELF-SIMILAR SETS

THE REGULARITY OF RANDOM GRAPH DIRECTED SELF-SIMILAR SETS

来源 :数学物理学报 | 被引量 : 0次 | 上传用户：LCW8889

【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

【作 者】

：

张晓群 刘妍岩 

【机 构】

：

Department of Mathematics

【出 处】

：

数学物理学报

【发表日期】

：

2004年期

【关键词】

：

Random graph-directed self-similar set Hausdorff dimension box-counting dimensio 

【基金项目】

：

国家自然科学基金

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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..

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