Speaker: Janne Junnila
Title: Noise-like properties and information content of imaginary chaos
Abstract: Imaginary multiplicative chaos is a version of Gaussian multiplicative chaos (GMC) where the intermittency parameter is purely imaginary. In the case of real GMC it is known that the resulting measures are multifractal, and that one can recover the underlying log-correlated field from the GMC measure. In this talk I will discuss these questions in the context of imaginary GMC, where the GMC distribution turns out to be monofractal and in certain ways noise-like. Nevertheless, in dimensions two and higher it is still possible to recover the field from the GMC (at least up to a constant). The talk is based on joint works with Aru, Baverez and Jego.