Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula

Bertrand Duplantier, Rémi Rhodes, Scott Sheffield +1

Gaussian Multiplicative Chaos is a way to produce a measure on ${\mathbb{R}}^d$ (or subdomain of ${\mathbb{R}}^d$) of the form $e^{\gamma X(x)}dx$, where $X$ is a log-correlated Gaussian field and $γ\in [0…