46 citations · 204 across the 20 of their papers we have counts for
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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…
Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics
Juhan Aru, Avelio Sepúlveda
We study two-valued local sets, , of the two-dimensional continuum Gaussian free field (GFF) with zero boundary condition in simply connected domains. Intuitivel…