Öz
Kaynakça
- C. Bandt, N.V. Hung and H. Rao, On the open set condition for self-similar fractals, Proc. Amer. Math. Soc. 134 (2005), 1369-1374
- Charatonik J., Charatonik W., Dendrites, Aportaciones Mat. Comun. 22 (1998), 227-253.
- Hutchinson, J.E. Fractals and self-similarity. Indiana Univ. Math. J 30, 1981, 713-747
- Kigami, J. Analysis on Fractals. Cambridge University Press, 2001
- P.A.P. Moran, Additive functions of intervals and Hausdor measure Proc. Cambridge Philos. Soc. 42 (1946), 15-23
Öz
We build an example of a system S of similarities in R^2 whose attractor is a plane dendrite $K\supset [0,1]$ which satisfies one point intersection property, while the post-critical set of the system S is a countable set whose natural projection to K is dense in the middle-third Cantor set.
Anahtar Kelimeler
self-similar set attractor post-critically finite open set condition dendrite
Kaynakça
- C. Bandt, N.V. Hung and H. Rao, On the open set condition for self-similar fractals, Proc. Amer. Math. Soc. 134 (2005), 1369-1374
- Charatonik J., Charatonik W., Dendrites, Aportaciones Mat. Comun. 22 (1998), 227-253.
- Hutchinson, J.E. Fractals and self-similarity. Indiana Univ. Math. J 30, 1981, 713-747
- Kigami, J. Analysis on Fractals. Cambridge University Press, 2001
- P.A.P. Moran, Additive functions of intervals and Hausdor measure Proc. Cambridge Philos. Soc. 42 (1946), 15-23
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Articles |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Haziran 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 2 Sayı: 2 |
