Lipschitz equivalence of graph-directed fractals

• Autorzy: Ying Xiong , Lifeng Xi
• Języki publikacji: EN

Abstrakty

EN

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 $E_{i₁}$ and $E_{i₂}$ are Lipschitz equivalent, and $E_{i}$ and $F_{j}$ are quasi-Lipschitz equivalent when they have the same Hausdorff dimension.

Kategorie tematyczne

• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 194
• Numer: 2
• Strony: 197-205

Daty

wydano

2009

Twórcy

autor

Ying Xiong

• Department of Mathematics, South China University of Technology, Guangzhou, 510641, P.R. China

autor

Lifeng Xi

• Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, 315100, P.R. China

Identyfikatory

DOI

10.4064/sm194-2-6