Percolation on the pre-Sierpinski gasket

Osaka Journal of Mathematics

Volumn 33, Issue 2, 1996, Pages 533-554

  Shinoda, Masato ^a  

^a NARA WOMEN'S UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009891397     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. H. Resten: Percolation Theory for Mathematicians, Birkhauser, Boston, 1982.
2. G. Grimmett: Percolation, Springer-Verlag, New York, 1989.
3. T. Hara and G. Slade: Mean field critiecal behavior for percolation in high dimensions, Comm. Math. Phys. 128 (1990), 333-391.
4. H. Kesten : Scaling relations for 2D-percolation, Comm. Math. Phys. 109 (1987), 109-156.
5. Y. Gefen, A. Aharony, Y. Shapir and B.B. Mandelbrot: Phase transitions on fractals II: Sierpinski gaskets., J. Phys. A 17 (1984), 435-444.
6. K. Hattori and T. Hattori: Self-avoiding process on the Sierpinski gasket, Probab. Theory Related Fields 88 (1991), 405-428.
7. K. Hattori, T. Hattori and S. Kusuoka: Self-avoiding paths on the three dimensional Sierpinski gasket, Publ. Res. Inst. Math. Sci. 29 (1993), 455-509.
8. K. Hattori, T. Hattori and S. Kusuoka: Self-avoiding paths on the pre-Sierpinski gasket, Probab. Theory Related Fields 84 (1990), 1-26.