THE HAUSDORFF DIMENSION AND MEASURE IN GENERALIZED GEOMETRIC GRAPH DIRECTED CONSTRUCTION

THE HAUSDORFF DIMENSION AND MEASURE IN GENERALIZED GEOMETRIC GRAPH DIRECTED CONSTRUCTION

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摘要 Abthors introduce the notation of generalized geometric constructions in Rm generated by a directed graph G and by a sequence of similarity ratios which are labelled with the edges of this graph. In this paper, it is obtained the Hausdorff dimension and measure of this construction object for some cases. Abthors introduce the notation of generalized geometric constructions in Rm generated by a directed graph G and by a sequence of similarity ratios which are labelled with the edges of this graph. In this paper, it is obtained the Hausdorff dimension and measure of this construction object for some cases.

作者苏峰赵兴球

出处《数学物理学报（A辑）》 CSCD 北大核心 1997年第S1期162-167,共6页 Acta Mathematica Scientia

关键词 HAUSDORFF DIMENSION HAUSDORFF MEASURE GENERALIZED GRAPH dirceted con- struction Hausdorff dimension, Hausdorff measure, generalized graph dirceted con- struction

分类号 O157 [理学—基础数学]

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数学物理学报（A辑）

1997年第S1期

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THE HAUSDORFF DIMENSION AND MEASURE IN GENERALIZED GEOMETRIC GRAPH DIRECTED CONSTRUCTION

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