107 citations
- Centre National de la Recherche ScientifiqueFR120 papers
- Université Savoie Mont BlancFR82 papers
- Le LAMAFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR30 papers
- Laboratoire Jean-Alexandre DieudonnéFR14 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR13 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR13 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR12 papers
- University College DublinIE12 papers
- Sorbonne UniversitéFR11 papers
- Université Nice Sophia AntipolisFR11 papers
- Université Grenoble AlpesFR10 papers
15 papers · 1 filter
Relation between Wick powers and excursion clusters of the 2D GFF
Titus Lupu
We study the decomposition of the Wick powers of the continuum GFF in dimension via the first passage sets (FPS) and the excursion clusters (sign components) of the GFF. These…
Conformal welding and the matter--Liouville--ghost factorisation
Guillaume Baverez, Antoine Jego
We study the action of local conformal transformations on several measures related to the Gaussian free field and Schramm--Loewner evolutions. The main novelty of our work is a Cam…
The CFT of SLE loop measures and the Kontsevich--Suhov conjecture
Guillaume Baverez, Antoine Jego
This paper initiates the study of the conformal field theory of the SLE loop measure for , the range where the loop is almost surely simple. First, we construct…
The height gap of planar Brownian motion is
Antoine Jego, Titus Lupu, Wei Qian
We show that the occupation measure of planar Brownian motion exhibits a constant height gap of across its outer boundary. This property bears similarities with the celebrate…
Excursion decomposition of the 2D continuum GFF
Juhan Aru, Titus Lupu, Avelio Sepúlveda
In this note we show that the 2D continuum Gaussian free field (GFF) admits an excursion decomposition that is on the one hand similar to the classical excursion decomposition of t…
Crossing exponent in the Brownian loop soup
Antoine Jego, Titus Lupu, Wei Qian
We study the clusters of loops in a Brownian loop soup in some bounded two-dimensional domain with subcritical intensity . We obtain an exact expression for the asymp…