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

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外文摘要：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.

外文关键词：

Schramm-Loewner evolutionconformal loop ensembleBrownian excursionGaussian free field

作者：

Titus Lupu、Hao Wu

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作者单位：

Laboratoire de Probabilités,Statistique et Modélisation,Sorbonne Université and Université Paris Cité,CNRS,Paris F-75005,France

Yau Mathematical Sciences Center,Tsinghua University,Beijing 100084,China

基金：

French National Research Agency(ANR)within the Project Marches aléatoires en interaction(MALIN)Beijing Natural Science Foundation

项目编号：

ANR-16-CE93-0003JQ20001

出版年：

2024

DOI：

10.1007/s11425-021-2081-8

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(2)

参考文献量27