Level lines of the Gaussian free field with general boundary data
(2017)
Journal Article
Powell, E., & Wu, H. (2017). Level lines of the Gaussian free field with general boundary data. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53(4), 2229-2259. https://doi.org/10.1214/16-aihp789
We study the level lines of a Gaussian free field in a planar domain with general boundary data F. We show that the level lines exist as continuous curves under the assumption that F is regulated (i.e., admits finite left and right limits at every po... Read More about Level lines of the Gaussian free field with general boundary data.