Thick points of the planar GFF are totally disconnected for all γ≠0
(2023)
Journal Article
Aru, J., Papon, L., & Powell, E. (2023). Thick points of the planar GFF are totally disconnected for all γ≠0. Electronic Journal of Probability, 28, 1-24. https://doi.org/10.1214/23-ejp975
We prove that the set of γ-thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all γ≠0. Our proof relies on the coupling between a GFF and the nested CLE4. In particular, we show th... Read More about Thick points of the planar GFF are totally disconnected for all γ≠0.