Uniqueness of the critical probability for percolation in the two dimensional Sierpinski carpet lattice
classification
🧮 math.PR
keywords
carpetlatticesierpinskicriticalprobabilitydetermineddimensionaldimensions
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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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