5 papers
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 celebrat…
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 stu…
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…
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…
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 no…