Lipschitz equivalence of self-similar sets;Equivalence Lipschitz d'ensembles autosimilaires

Comptes Rendus Mathematique

Volumn 342, Issue 3, 2006, Pages 191-196

  Rao, Hui ^a   Ruan, Huo Jun ^b   Xi, Li Feng ^c  

^a TSINGHUA UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

^c ZHEJIANG WANLI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30544437821     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.12.016     Document Type: Article

References (9)

1. D. Cooper T. Pignataro On the shape of Cantor sets J. Differential Geom. 28 1988 203-221
2. G. David S. Semmes Fractured Fractals and Broken Dreams: Self-Similar Geometry through Metric and Measure 1997 Oxford Univ. Press
3. K.J. Falconer D.T. Marsh Classification of quasi-circles by Hausdorff dimension Nonlinearity 2 1989 489-493
4. K.J Falconer D.T. Marsh On the Lipschitz equivalence of Cantor sets Mathematika 39 1992 223-233
5. J.E. Hutchinson Fractals and self similarity Indiana Univ. Math. J. 30 1981 713-747
6. R.D. Mauldin S.C. Williams Hausdorff dimension in graph directed constructions Trans. Amer. Math. Soc. 309 1988 811-829
7. H. Rao Z.-Y. Wen A class of self-similar fractals with overlap structure Adv. Appl. Math. 20 1998 50-72
8. Z.-Y. Wen L.-F. Xi Relations among Whitney sets, self-similar arcs and quasi-arcs Israel J. Math. 136 2003 251-267
9. L.-F. Xi Lipschitz equivalence of self-conformal sets J. London Math. Soc. 70 2 2004 369-382