On the regularity of complex multiplicative chaos

Janne Junnila, Eero Saksman, Lauri Viitasaari

Denote by ${\mu }_{\beta }="\exp (\beta X)"$ the Gaussian multiplicative chaos which is defined using a log-correlated Gaussian field $X$ on a domain $U\subset {\mathbb{R}}^d$. The case $β\in\mathbb{R}…