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Title

On the scaling limits of planar percolation

Authors
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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