Quasi-Lipschitz equivalence of Ahlfors-David regular sets

Nonlinearity

Volumn 24, Issue 3, 2011, Pages 941-950

  Wang, Qin ^a   Xi, Lifeng ^a  

^a ZHEJIANG WANLI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79951919057     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/24/3/011     Document Type: Article

References (11)

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2. Falconer K J 1997 Techniques in Fractal Geometry (Chichester: Wiley)
3. Falconer K J and Marsh D T 1992 On the Lipschitz equivalence of Cantor sets Mathematika 39 223-33
4. Farb B and Mosher L 1998Arigidity theorem for the solvable Baumslag-Solitar groups Invent. Math. 131 419-51 (With an appendix by Daryl Cooper)
5. Feng D, Wen Z Y and Wu J 1997 Some dimensional results for homogeneous Moran sets Sci. China Ser. A 40 475-82
6. Mattila P and Saaranen P 2009 Ahlfors-David regular sets and bilipschitz maps Ann. Acad. Sci. Fenn. Math. 34 (2) 487-502
7. Moran P A P 1946 Additive functions of intervals and Hausdorff measure Proc. Camb. Philos. Soc. 42 15-23
8. Wen Z Y 2001 Moran sets and Moran classes Chin. Sci. Bull. 46 1849-56
9. Xi L F 2004 Lipschitz equivalence of self-conformal sets J. Lond. Math. Soc. 70 369-82
10. Xi L F 2007 Quasi-Lipschitz equivalence of fractals Israel J. Math. 160 1-21
11. Xi L F and Xiong Y 2011 Lipschitz equivalence of fractals generated by nested cubes (in preparation)