The geometry of a critical percolation cluster on the UIPT
Probability
2017-01-09 v1
Abstract
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 differs by a factor 2 from those computed previously by Angel and Curien (2015) in the case of critical site percolation on the uniform infinite half-plane triangulation.
Keywords
Cite
@article{arxiv.1701.01667,
title = {The geometry of a critical percolation cluster on the UIPT},
author = {Matthias Gorny and Édouard Maurel-Segala and Arvind Singh},
journal= {arXiv preprint arXiv:1701.01667},
year = {2017}
}