Quasi-Lipschitz equivalence of fractals

Israel Journal of Mathematics

Volumn 160, Issue , 2007, Pages 1-21

  Xi, Li Feng ^a  

^a ZHEJIANG WANLI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35448974355     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/s11856-007-0053-3     Document Type: Article

References (13)

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4. K. J. Falconer, Techniques in Fractal Geometry, Wiley, Chichester, 1997.
5. K. J. Falconer D. T. Marsh 1989 Classification of quasi-circles by Hausdorff dimension Nonlinearity 2 489 493
6. K. J. Falconer D. T. Marsh 1992 On the Lipschitz equivalence of Cantor sets Mathematika 39 223 233
7. J. E. Hutchinson 1981 Fractals and self-similarity Indiana University Mathematical Journal 30 714 747
8. Ch. Pommerenke 1979 Uniformly perfect sets and the Poincaré metric Archiv der Mathematik 32 192 199
9. Z. Y. Wen L. F. Xi 2003 Relations among Whitney sets, self-similar arcs and quasi-arcs Israel Journal of Mathematics 136 251 267
10. L. F. Xi 2004 Lipschitz equivalences of self-conformal sets Journal of the London Mathematical Society 70 369 382
11. L. F. Xi, Structural instability of cookie-cutter sets, Nonlinear Analysis: Theory, Methods and Applications, in press.
12. F. Xie Y. C. Yin Y. S. Sun 2003 Uniform perfectness of self-affine sets Proceedings of the American Mathematical Society 131 3053 3057
13. Y. C. Yin H. Y. Jiang Y. S. Sun 2003 Geometry and dimension of self-similar set Chinese Annals of Mathematics 24 57 64