35 citations · 103 across the 13 of their papers we have counts for
4 papers · 1 filter
Negative moments for Gaussian multiplicative chaos on fractal sets
Christophe Garban, Nina Holden, Avelio Sepúlveda +1
The objective of this note is to study the probability that the total mass of a sub-critical Gaussian multiplicative chaos (GMC) with arbitrary base measure is small. When …
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…
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…