4 citations · 4 across the 1 of their papers we have counts for
4 papers · 1 filter
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}…
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.…