The geometry of a critical percolation cluster on the UIPT
The geometry of a critical percolation cluster on the UIPT
We consider a critical Bernoulli site percolation on the uniform infinite planar triangulation.We study the tail distributions of the peeling time, perimeter, and volume of the hull of a critical cluster.The exponents obtained here differ by a factor 2 from those computed previously by Angel and Curien [Ann.Inst.Henri Poincaré Probab.Stat.51 …