5 papers
Thick points of the planar GFF are totally disconnected for all
Juhan Aru, Léonie Papon, Ellen Powell
We prove that the set of -thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all . Our proof relies…
Reconstructing the base field from imaginary multiplicative chaos
Juhan Aru, Janne Junnila
We show that the imaginary multiplicative chaos determines the gradient of the underlying field for all log-correlated Gaussian fields with covariance of the form $…
The first passage sets of the 2D Gaussian free field: convergence and isomorphisms
Juhan Aru, Titus Lupu, Avelio Sepúlveda
In a previous article, we introduced the first passage set (FPS) of constant level of the two-dimensional continuum Gaussian free field (GFF) on finitely connected domains. In…
Exceptional graphs for the random walk
Juhan Aru, Carla Groenland, Tom Johnston +3
If is the simple random walk on the square lattice , then induces a random walk on any spanning subgraph $G\subset \mathbb…
Critical Liouville measure as a limit of subcritical measures
Juhan Aru, Ellen Powell, Avelio Sepúlveda
We study how the Gaussian multiplicative chaos (GMC) measures corresponding to the 2D Gaussian free field change when approaches the critical parameter . In particular…