Uniqueness of the critical probability for percolation in the two dimensional Sierpinski carpet lattice

Details Uniqueness of the critical probability for percolation in the two dimensional Sierpinski carpet lattice Uniqueness of the critical probability for percolation in the two dimensional Sierpinski carpet lattice

2006-10-19

arxiv.org/abs/math/0610583v2

Kobe Journal of Mathematics, Vol.25, No. 1-2, (2008) 1-24

Mathematics

Probability

22pages; typos added(erased pre-finel comments)

Scientific paper

We prove that the critical probability for the Sierpinski carpet lattice in
two dimensions is uniquely determined. The transition is sharp. This extends
the Kumagai's result to the original Sierpinski carpet lattice.

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