Isoperimetric estimates on sierpinski gasket type fractals

Transactions of the American Mathematical Society

Volumn 351, Issue 5, 1999, Pages 1705-1752

  Strichartz, Robert S ^a  

^a Cornell University ^*  (United States)

Author keywords

Connectivity dimension; Isoperimetric estimates; Sierpinski gasket, fractals

Indexed keywords

EID: 22644452491     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-99-01999-6     Document Type: Article

References (14)

1. [AS] E. Ayer and R. S. Strichartz, Exact Hausdorff measure and intervals of maximum densit for Cantor measures, Trans. Amer. Math. Soc. (to appear)
2. [BK] C. Bandt and T. Kuschel, Self-similar sets 8. Average interior distance in some fractals Rend. Circ. Math. Palermo Sup. 28 (1992), 307-317. MR 94c:28010
3. [BS] C. Bandt and J. Stahnke, Self-similar sets 6. Interior distance on determinate fractals preprint, Greifswald 1990
4. [B] M. Barnsley, Fractals Everywhere, Academic Press, Boston, 1988. MR 90e:58080
5. [F] K. J. Falconer, Fractal Geometry: Mathematical Foundations and Applications, John Wi ley & Sons, New York, 1990. MR 92j:28008
6. [HB] S. Havlin and D. Ben-Avraham, Duffision in disordered media, Advances in Physics 36 (1987), 695-798.
7. [H] J. E. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713-747 MR 82h:49026
8. [K] J. Kigami, Harmonic calculus on p.c.f. self-similar spaces, Trans. Amer. Math. Soc. 335 (1993), 721-755. MR 93d:39008
9. [Mal] J. Marion, Mesure de Hausdorff d'un fractal àsimilitude interne, Ann. Sc. Math. Québe 10 (1986), 51-84. MR 87h:28009
10. [Ma2] J. Marion, Mesures de Hausdorff d'ensembles fractals, Ann. Sc. Math. Québec 11 (1987) 111-132. MR 88k:28011
11. [MW] R. D. Mauldin and S. C. Williams, Hausdorff dimension in graph directed constructions Trans. Amer. Math. Soc. 309 (1988), 811-829. MR 891:28003
12. [M] U. Mosco, Variational metrics on self-similar fractals, C.R. Acad. Sei. Paris Sér. I Math 321 (1995), 715-720. MR 96h:28013
13. [O] R. Osserman, The isoperimetric inequality, Bull. Amer. Math. Soc. 84 (1978), 1182-1238 MR 58:18161
14. [S] R. S. Strichartz, Piecewise linear wavelets on Sierpinski gasket type fractals, J. Fourie Anal. Appl. 3 (1997), 387-416. CMP 97:17