A. Jego

activity

20182026

most citedPlanar Brownian motion and Gaussian multiplicative chaos

20 citations · 72 across the 13 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.PR2024★ 1 cited

The density of imaginary multiplicative chaos is positive

Juhan Aru, Antoine Jego, Janne Junnila

Consider a log-correlated Gaussian field $Γ$ and its associated imaginary multiplicative chaos $: e^{i β Γ} :$ where $β$ is a real parameter. In [AJJ22], we showed that for any nonzer…

math.PR2024

The height gap of planar Brownian motion is $\frac{5}{π}$

Antoine Jego, Titus Lupu, Wei Qian

We show that the occupation measure of planar Brownian motion exhibits a constant height gap of $5/ π$ across its outer boundary. This property bears similarities with the celebrate…

math.PR2024

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 $μ_{β} := exp (i β Γ)$ , where $Γ$ is a two-dimensional continuum Gaussian free field. We concentrate here on the fi…

The density of imaginary multiplicative chaos is positive

The height gap of planar Brownian motion is π5​

Noise-like analytic properties of imaginary chaos

The height gap of planar Brownian motion is $\frac{5}{π}$