标题： 临界渗流簇在UIPT上的几何结构 显示英文标题

标题： The geometry of a critical percolation cluster on the UIPT

摘要： 我们考虑在均匀无限平面三角剖分上的临界伯努利点渗透问题。 我们研究临界簇的包络的剥落时间、周长和体积的尾部分布。 这里得到的指数与安吉尔和库里恩（2015）在均匀无限半平面三角剖分上的临界点渗透情况下之前计算的指数相差一个因子2。 显示英文摘要

摘要： 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.