Self-similar sets with initial cubic patterns

Comptes Rendus Mathematique

Volumn 348, Issue 1-2, 2010, Pages 15-20

  Xi, Li Feng ^a   Xiong, Ying ^b  

^a ZHEJIANG WANLI UNIVERSITY   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 74249104372     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2009.12.006     Document Type: Article

References (9)

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3. Falconer K.J., and Marsh D.T. Classification of quasi-circles by Hausdorff dimension. Nonlinearity 2 (1989) 489-493
4. Falconer K.J., and Marsh D.T. On the Lipschitz equivalence of Cantor sets. Mathematika 39 (1992) 223-233
5. Mauldin R.D., and Williams S.C. Hausdorff dimension in graph directed constructions. Trans. Amer. Math. Soc. 309 (1988) 811-829
6. Rao H., Ruan H.-J., and Xi L.-F. Lipschitz equivalence of self-similar sets. C. R. Acad. Sci. Paris, Ser. I 342 (2006) 191-196
7. Wen Z.-Y., and Xi L.-F. Relations among Whitney sets, self-similar arcs and quasi-arcs. Israel J. Math. 136 (2003) 251-267
8. Xi L.-F. Lipschitz equivalence of self-conformal sets. J. London Math. Soc. (2) 70 (2004) 369-382
9. Xi L.-F. Quasi-Lipschitz equivalence of fractals. Israel J. Math. 160 (2007) 1-21