On the GFF with one free boundary condition
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.
scientific article; zbMATH DE number 7629081
scientific article