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Lipschitz equivalence of graph-directed fractals

Ying XiongLifeng Xi — 2009

Studia Mathematica

This paper studies the geometric structure of graph-directed sets from the point of view of Lipschitz equivalence. It is proved that if E i i and F j j are dust-like graph-directed sets satisfying the transitivity condition, then E i and E i are Lipschitz equivalent, and E i and F j are quasi-Lipschitz equivalent when they have the same Hausdorff dimension.

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