A level line of the Gaussian free field with measure-valued boundary conditions

被引：0
|
作者：
Lupu, Titus [1 ,2 ]
Wu, Hao [3 ]
机构：
[1] Sorbonne Univ, Lab Probabil Stat & Modelisat, F-75005 Paris, France
[2] Univ Paris Cite, CNRS, F-75005 Paris, France
[3] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 02期
基金：
北京市自然科学基金;
关键词：
Schramm-Loewner evolution; conformal loop ensemble; Brownian excursion; Gaussian free field; LOEWNER; SLE;
D O I：
10.1007/s11425-021-2081-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we construct samples of Schramm-Loewner-evolution-like curves out of samples of the conformal loop ensemble and Poisson point processes of Brownian excursions. We show that the laws of these curves depend continuously on the intensity measure of the Brownian excursions. Using such a construction of curves, we extend the notion of level lines of the Gaussian free field to the case where the boundary condition is measure-valued.
引用
收藏
页码：367 / 404
页数：38
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