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arXiv · 1701.01667

The geometry of a critical percolation cluster on the UIPT

Matthias Gorny·Édouard Maurel-Segala·Arvind Singh
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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.

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Matthias Gorny, Édouard Maurel-Segala, Arvind Singh. 2017-01-06. The geometry of a critical percolation cluster on the UIPT. https://arxiv.org/abs/1701.01667

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