J. Junnila

collaborators

3 papers

math.CV2025

Piecewise geodesic Jordan curves II: Loewner energy, projective structures, and accessory parameters

Mario Bonk, Janne Junnila, Steffen Rohde +1

In this paper we consider Jordan curves on the Riemann sphere passing through $n \geq 3$ given points. We show that in each relative isotopy class of such curves, there exists a uni…

math.PR2025

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…

math.PR2024

The density of imaginary multiplicative chaos is positive

Juhan Aru, Antoine Jego, Janne Junnila

Consider a log-correlated Gaussian field $I^$ and its associated imaginary multiplicative chaos $: e^{i I^^{2} I^} :$ where $I^^{2}$ is a real parameter. In [AJJ22], we showed that for any no…