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GRAPH-DIRECTED STRUCTURES OF SELF-SIMILAR SETS WITH OVERLAPS |
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Citation: |
HUA Su,RAO Hui.GRAPH-DIRECTED STRUCTURES OF SELF-SIMILAR SETS WITH OVERLAPS[J].Chinese Annals of Mathematics B,2000,21(4):403~412 |
Page view: 1314
Net amount: 906 |
Authors: |
HUA Su; RAO Hui |
Foundation: |
Project supported by the National Natural Science Foundation of China and Mathematics Center of Morningside, Chinese Academy Sciences. |
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Abstract: |
Some kinds of the self-similar sets with overlapping structures are studied by introducing the graph-directed constructions satisfying the open set condition that coincide with these sets. In this way, the dimensions and the measures are obtained. |
Keywords: |
Self-similar sets, Graph-directed sets, Overlapping, Label, Pisot number |
Classification: |
28A75, 11B85, 68Q45 |
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