Existence of phase transition of percolation on Sierpiński carpet lattices

Journal of Applied Probability

Volumn 39, Issue 1, 2002, Pages 1-10

  Shinoda, Masato ^a  

^a NARA WOMEN'S UNIVERSITY   (Japan)

Author keywords

Isoperimetric dimension; Percolation; Phase transition; Sierpi ; Ski carpet

Indexed keywords

EID: 0035998646     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002190020002146X     Document Type: Article

References (12)

1. d, many questions and few answers
2. Percolation processes I. Crystals and mazes
3. Connectivity properties of Mandelbrot's percolation process
4. On the structure of Mandelbrot's percolation process and other random Cantor sets
5. Critical probabilities for site and bond percolation model
6. Markov random fields and percolation on general graphs
7. Percolation on pre-Sierpiński carpets
8. Percolation in high-dimensional Menger sponges
9. Isoperimetric constants and estimates of heat kernels of pre-Sierpiński carpets
10. Percolation on the pre-Sierpiński gasket