GRAPH-DIRECTED STRUCTURES OF SELF-SIMILAR SETS WITH OVERLAPS

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
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Authors:

HUA Su; RAO Hui

Foundation:

Project supported by the National Natural Science Foundation of China and Mathematics Center of Morningside, Chinese Academy Sciences.
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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