Convergence of the two-dimensional random walk loop-soup clusters to CLE

被引：11

作者：

Lupu, Titus ^{[1
]}

机构：

[1] Sorbonne Univ, CNRS, Lab Probabilites Stat & Modelisat, 4 Pl Jussieu, F-75005 Paris, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2019年 / 21卷 / 04期

关键词：

Conformal loop ensemble; Gaussian free field; loop-soup; metric graph; Poisson ensemble of Markov loops;

D O I：

10.4171/JEMS/859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the random walk loop-soup of subcritical intensity parameter on the discrete half-plane H := Z x N. We look at the clusters of discrete loops and show that the scaling limit of the outer boundaries of outermost clusters is a CLE kappa conformal loop ensemble.

引用

页码：1201 / 1227

页数：27

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