10 citations · 25 across the 10 of their papers we have counts for
11 papers
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 given points. We show that in each relative isotopy class of such curves, there exists a uni…
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…
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…
Multiplicative chaos measures from thick points of log-correlated fields
Janne Junnila, Gaultier Lambert, Christian Webb
We prove that multiplicative chaos measures can be constructed from extreme level sets or thick points of the underlying logarithmically correlated field. We develop a method which…
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…
Reconstructing the base field from imaginary multiplicative chaos
Juhan Aru, Janne Junnila
We show that the imaginary multiplicative chaos determines the gradient of the underlying field for all log-correlated Gaussian fields with covariance of the form $…
On the regularity of complex multiplicative chaos
Janne Junnila, Eero Saksman, Lauri Viitasaari
Denote by the Gaussian multiplicative chaos which is defined using a log-correlated Gaussian field on a domain . The case $β\in\mathbb{R}…
Network-based Biased Tree Ensembles (NetBiTE) for Drug Sensitivity Prediction and Drug Sensitivity Biomarker Identification in Cancer
Ali Oskooei, Matteo Manica, Roland Mathis +1
We present the Network-based Biased Tree Ensembles (NetBiTE) method for drug sensitivity prediction and drug sensitivity biomarker identification in cancer using a combination of p…
Imaginary multiplicative chaos: Moments, regularity and connections to the Ising model
Janne Junnila, Eero Saksman, Christian Webb
In this article we study imaginary Gaussian multiplicative chaos -- namely a family of random generalized functions which can formally be written as , where is a lo…
On the multiplicative chaos of non-Gaussian log-correlated fields
Janne Junnila
We study non-Gaussian log-correlated multiplicative chaos, where the random field is defined as a sum of independent fields that satisfy suitable moment and regularity conditions.…
The uniqueness of the Gaussian multiplicative chaos revisited
Janne Junnila, Eero Saksman
We consider Gaussian multiplicative chaos measures defined in a general setting of metric measure spaces. Uniqueness results are obtained, verifying that different sequences of app…