20 citations · 72 across the 13 of their papers we have counts for
14 papers
Three-dimensional Brownian loop soup clusters
Antoine Jego, Titus Lupu
We study Brownian loop soup clusters in for an arbitrary intensity . We show the existence of a phase transition for the presence of unbounded clusters and stud…
Derivatives of Gaussian multiplicative chaos
Antoine Jego
Consider a logarithmically-correlated Gaussian field in dimensions. For all , we show that the derivatives $\frac{\partial^k}{\partialγ^k} :e^{…
The density of imaginary multiplicative chaos is positive
Juhan Aru, Antoine Jego, Janne Junnila
Consider a log-correlated Gaussian field and its associated imaginary multiplicative chaos where is a real parameter. In [AJJ22], we showed that for any nonzer…
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…
Noise-like analytic properties of imaginary chaos
Juhan Aru, Guillaume Baverez, Antoine Jego +1
In this note we continue the study of imaginary multiplicative chaos , where is a two-dimensional continuum Gaussian free field. We concentrate here on the fi…
Thick points of 4D critical branching Brownian motion
Nathanaël Berestycki, Tom Hutchcroft, Antoine Jego
We study the thick points of branching Brownian motion and branching random walk with a critical branching mechanism, focusing on the critical dimension . We determine the e…
Conformally invariant fields out of Brownian loop soups
Antoine Jego, Titus Lupu, Wei Qian
Consider a Brownian loop soup with subcritical intensity in some 2D bounded simply connected domain. We define and study the properties of a confor…
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…
Multiplicative chaos of the Brownian loop soup
Élie Aïdékon, Nathanaël Berestycki, Antoine Jego +1
We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity , which is formally obtained by exponentiating the s…
Density of imaginary multiplicative chaos via Malliavin calculus
Juhan Aru, Antoine Jego, Janne Junnila
We consider the imaginary Gaussian multiplicative chaos, i.e. the complex Wick exponential for a log-correlated Gaussian field in dimensions. We…
Critical Brownian multiplicative chaos
Antoine Jego
Brownian multiplicative chaos measures, introduced in [Jeg20, AHS20, BBK94], are random Borel measures that can be formally defined by exponentiating times the square root of t…
Characterisation of planar Brownian multiplicative chaos
Antoine Jego
We characterise the multiplicative chaos measure associated to planar Brownian motion introduced in [BBK94,AHS20,Jeg20a] by showing that it is the only random Borel m…
Planar Brownian motion and Gaussian multiplicative chaos
Antoine Jego
We construct the analogue of Gaussian multiplicative chaos measures for the local times of planar Brownian motion by exponentiating the square root of the local times of small circ…
Thick points of random walk and the Gaussian free field
Antoine Jego
We consider the thick points of random walk, i.e. points where the local time is a fraction of the maximum. In two dimensions, we answer a question of Dembo, Peres, Rosen and Zeito…