On the scaling limits of planar percolation

Understand

We prove Tsirelson's conjecture that any scaling limit of the critical planar 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.