35 citations · 103 across the 13 of their papers we have counts for
15 papers
The critical Ising magnetization field can be reconstructed from its interfaces
Paul Cahen, Christophe Garban, Avelio Sepúlveda
The critical Ising model admits several natural scaling limits. For an Ising model on a lattice approximation of a planar domain , the rescaled spin field converges, as $a…
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…
Scaling limit of random plane quadrangulations with a simple boundary, via restriction
Jérémie Bettinelli, Nicolas Curien, Luis Fredes +1
We prove that quadrangulations with a simple boundary converge to the Brownian disk. More precisely, we fix a sequence of even positive integers with …
Quantitative bounds on vortex fluctuations in Coulomb gas and maximum of the integer-valued Gaussian free field
Christophe Garban, Avelio Sepúlveda
In this paper, we study the influence of the vortices on the fluctuations of systems such as the Coulomb gas, the Villain model or the integer-valued Gaussian free field. In t…
The distance exponent for Liouville first passage percolation is positive
Jian Ding, Ewain Gwynne, Avelio Sepúlveda
Discrete Liouville first passage percolation (LFPP) with parameter is the random metric on a sub-graph of obtained by assigning each vertex a weight of $e^…
Extremal distance and conformal radius of a CLE_4 loop
Juhan Aru, Titus Lupu, Avelio Sepúlveda
Consider CLE in the unit disk and let be the loop of the CLE surrounding the origin. Schramm, Sheffield and Wilson determined the law of the conformal radius seen fr…
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…
Tree-decorated planar maps
Luis Fredes, Avelio Sepúlveda
We introduce the set of (non-spanning) tree-decorated planar maps, and show that they are in bijection with the Cartesian product between the set of trees and the set of maps with…
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…
First passage sets of the 2D continuum Gaussian free field
Juhan Aru, Titus Lupu, Avelio Sepúlveda
We introduce the first passage set (FPS) of constant level of the two-dimensional continuum Gaussian free field (GFF) on finitely connected domains. Informally, it is the set…
On thin local sets of the Gaussian free field
Avelio Sepúlveda
We study how small a local set of the continuum Gaussian free field (GFF) in dimension has to be to ensure that this set is thin, which loosely speaking means that it captures…