Geodesic
Lipschitz equivalence of graph-directed fractals
Ying Xiong1 ; Lifeng Xi2
1 Department of Mathematics South China University of Technology Guangzhou, 510641, P.R. China
2 Institute of Mathematics Zhejiang Wanli University Ningbo, Zhejiang, 315100, P.R. China
Studia Mathematica, Tome 194 (2009) no. 2, pp. 197-205

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $E_{i_{1}}$ and $E_{i_{2}}$ are Lipschitz equivalent, and $E_{i}$ and $F_{j}$ are quasi-Lipschitz equivalent when they have the same Hausdorff dimension.
DOI : 10.4064/sm194-2-6
Keywords: paper studies geometric structure graph directed sets point view lipschitz equivalence proved dust like graph directed sets satisfying transitivity condition lipschitz equivalent quasi lipschitz equivalent have hausdorff dimension

Ying Xiong 1 ; Lifeng Xi 2

1 Department of Mathematics South China University of Technology Guangzhou, 510641, P.R. China
2 Institute of Mathematics Zhejiang Wanli University Ningbo, Zhejiang, 315100, P.R. China 
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Ying Xiong; Lifeng Xi. Lipschitz equivalence of graph-directed fractals. Studia Mathematica, Tome 194 (2009) no. 2, pp. 197-205. doi: 10.4064/sm194-2-6

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