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On the scaling limits of planar percolation

Schramm, Oded
Submitted to Annals of Probability. 2010
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.
Stable URL https://archive-ouverte.unige.ch/unige:11887
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Deposited on : 2010-09-24

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