7 citations · 8 across the 3 of their papers we have counts for
6 papers · 1 filter
Improved spin-wave estimate for Wilson loops in lattice gauge theory
Christophe Garban, Avelio Sepúlveda
In this paper, we obtain bounds on the Wilson loop expectations in 4D lattice gauge theory which quantify the effect of topological defects. In the case of a Villain interac…
Dimension of two-valued sets via imaginary chaos
Lukas Schoug, Avelio Sepúlveda, Fredrik Viklund
Two-valued sets are local sets of the two-dimensional Gaussian free field (GFF) that can be thought of as representing all points of the domain that may be connected to the boundar…
Liouville dynamical percolation
Christophe Garban, Nina Holden, Avelio Sepúlveda +1
We construct and analyze a continuum dynamical percolation process which evolves in a random environment given by a -Liouville measure. The homogeneous counterpart of this proce…
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…