Fractal properties of generalized Sierpiński triangles

Fractals

Volumn 6, Issue 1, 1998, Pages 31-41

  Falconer, Kenneth J ^a   Lammering, Birger ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2242439491     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X98000055     Document Type: Article

References (15)

1. M. Arbeiter and N. Patzschke, "Random Self-Similar Multifractals," Math. Nachr. 181, 5-42 (1996).
2. M. Barnsley, Fractals Everywhere (Academic Press, 1988).
3. C. J. G. Evertsz and B. B. Mandelbrot, Multifractal Measures, Appendix B in: Chaos and Fractals - New Frontier of Science (Springer Verlag, 1992).
4. K. J. Falconer, Fractal Geometry - Mathematical Foundations and Applications (John Wiley, 1990).
5. K. J. Falconer, "The Dimension of Self-Affine Fractals II," Math. Proc. Camb. Phil. Soc. 111, 169-179 (1992).
6. K. J. Falconer, Techniques in Fractal Geometry (John Wiley, 1997).
7. K. J. Falconer and D. T. Marsh, "The Dimension of Affine-Invariant Fractals," J. Phys. A 21, L121-L125 (1988).
8. J. King, "The Singularity Spectrum for General Sierpinski Carpets," Adv. Math. 116, 1-11 (1995).
9. P. R. Massopust, Fractal Functions, Fractal Surfaces and Wavelets (Academic Press, 1994).
10. J. L. McCauley, Chaos, Dynamics and Fractals (Cambridge University Press, 1993).
11. d," to appear in Pac. J. Math.
12. R. Pastor-Satorras and R. H. Riedi, "Numerical Estimates of Generalized Dimensions d(q) for Negative q," J. Phys. A 29, 391-398 (1996).
13. H. O. Peitgen, H. Jürgens and D. Saupe, Chaos and Fractals - New Frontiers of Science (Springer Verlag, 1992).
14. R. H. Riedi, "An Improved Multifractal Formalism and Self-Similar Measures," J. Math. Anal. & Appl. 189, 462-490 (1995).
15. W. Sierpiński, "Sure une Courbe Dont Tout Point est un Point de Ramification," C. R. Acad. Paris 160, 302 (1915).