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On the scaling limits of planar percolation

Publication date2010
Abstract

We prove Tsirelson's conjecture that the scaling limit of planar critical percolation is a black noise. Our theorems apply to a number of percolation models, including site percolation on the triangular grid and any subsequential scaling limit of bond percolation on the square grid. We also suggest a natural construction for the scaling limit of planar percolation, and more generally of any discrete planar model describing connectivity properties.

NoteSoumis dans : Annals of Probability
Citation (ISO format)
SCHRAMM, Oded, SMIRNOV, Stanislav. On the scaling limits of planar percolation. 2010.
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  • PID : unige:11887
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