Lipschitz equivalence of dust-like self-similar sets

Mathematische Zeitschrift

Volumn 266, Issue 3, 2010, Pages 683-691

  Xi, Li Feng ^a  

^a ZHEJIANG WANLI UNIVERSITY   (China)

Author keywords

Fractal; Lipschitz equivalence; Self similar set

Indexed keywords

EID: 79551689565     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-009-0593-9     Document Type: Article

References (9)

1. Cooper D., Pignataro T.: On the shape of Cantor sets. J. Differ. Geom. 28, 203-221 (1988).
2. David G., Semmes S.: Fractured ractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure. Oxford University Press, Oxford (1997).
3. Falconer K. J., Marsh D. T.: On the Lipschitz equivalence of Cantor sets. Mathematika 39, 223-233 (1992).
4. Hutchinson J. E.: Fractals and self similarity. Indiana Univ. Math. J. 30, 713-747 (1981).
5. Mauldin R. D., Williams S. C.: Hausdorff dimension in graph directed constructions. Trans. Am. Math. Soc. 309(1-2), 811-839 (1998).
6. Rao H., Ruan H. J., Xi L. F.: Lipschitz equivalence of self-similar set. C. R. Math. Acad. Sci. Paris 342(3), 191-196 (2006).
7. Xi L. F.: Quasi-Lipschitz equivalence of fractals. Israel J. Math. 160, 1-21 (2007).
8. Xi L. F.: Lipschitz equivalence of self-conformal sets. J. London Math. Soc. 70(2), 369-382 (2004).
9. Xi L. F., Ruan H. J.: Lipschitz equivalence of generalized {1, 3, 5}-{1, 4, 5} self-similar sets. Sci. China Ser. A 50(11), 1537-1551 (2007).