科研之友
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摘要
We Set up a framework for dimensions of the boundary of each component F-i of a graph self-similar family defined by a graph-directed iterated function system satisfying the socalled graph finite boundary type condition. We show that partial derivative F-i has the same Hausdortf and box dimension, with the corresponding Hauselorff measure being pustve and sigma-finite. These results are natural extensions of existing ones concerning the dimensions of the boundary of a self similar tile.
