Uniform perfectness of the attractor of bi-Lipschitz IFS

Science in China, Series A: Mathematics

Volumn 49, Issue 4, 2006, Pages 433-438

  Ruan, Huojun ^a   Sun, Yeshun ^a   Yin, Yongcheng ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Iterated function systems; Uniform perfectness

Indexed keywords

EID: 33646564025     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-006-0433-x     Document Type: Article

References (8)

1. Falconer, K. J., Fractal Geometry: Mathematical Foundations and Applications, New York: John Wiley & Sons, 1990.
2. Beardon A, F., Pommerenke, Ch., The Poincaré metric of plane domains, J. London Math. Soc, 1978, 18: 475-483.
3. Pommerenke, Ch., Uniformly perfect sets and the Poincaré metric, Arch. Math., 1979, 32: 192-199.
4. Hinkkanen, A., Martin, G. J., Julia sets of rational semigroups, Math. Z., 1996, 222: 161-169.
5. Mañé, R., da Rocha, L. F., Julia sets are uniformly perfect, Proc. Amer. Math. Soc., 1992, 116: 251-257.
6. Stankewitz, R., Uniformly perfect sets, rational semigroups, Kleinian groups and IFS's, Proc. Amer. Math. Soc., 2000, 128: 2569-2575.
7. Stankewitz, R., Uniformly perfect analytic and conformal attractor sets, Bull. London Math. Soc., 2001, 33: 320-330.
8. Xie, F., Yin, Y., Sun, Y., Uniform perfectness of self-affine sets, Proc. Amer. Math. Soc., 2003, 131: 3053-3057.