On the GFF with one free boundary condition
type: Item
instance of: scholarly article
title: On the GFF with one free boundary condition
zbMATH Open document ID: 1504.60146
author: Yanyan Li
published in: Statistics \& Probability Letters
publication date: 2022-12-08T00:00:00Z
review text: The Gaussian free field (GFF) is another important example of planar random conformally invariant object which fits naturally both in conformal field theory and probability theory, a relation established between the GFF and Schramm Loewner evolution (SLE) in 2009. The goal of the current note is to deal with the GFF with the mixture of one free boundary data and Dirichlet boundary data. The authors' methods rely on both the martingale methods and finding out the explicit form of the solution of the partial differential equation derived from the Itô's calculus with extra efforts.
reviewed by: Rózsa Horváth-Bokor
Mathematics Subject Classification ID: 60J67
zbMATH DE Number: 7629081
zbMATH Keywords: \(\operatorname{SLE}_\kappa\)
zbMATH Keywords: level line of Gaussian free field
zbMATH Keywords: mixed boundary conditions
MaRDI profile type: Publication
full work available at URL: j.spl.2022.109699
OpenAlex ID: W4304014265
cites work: Liouville quantum gravity and KPZ
cites work: Hadamard's formula and couplings of SLEs with free field
cites work: Q4679161
cites work: Values of Brownian intersection exponents. I: Half-plane exponents
cites work: Imaginary geometry. I: Interacting SLEs
cites work: Global and local multiple SLEs for \(\kappa\leq4\) and connection probabilities for level lines of GFF
cites work: Basic properties of SLE
cites work: Contour lines of the two-dimensional discrete Gaussian free field
DOI: 10.1016/J.SPL.2022.109699
description: scientific article; zbMATH DE number 7629081