Critical Gaussian multiplicative chaos: a review

Abstract

This review-style article presents an overview of recent progress in constructing and studying critical Gaussian multiplicative chaos. A proof that the critical measure in any dimension can be obtained as a limit of subcritical measures is given.

32 pages. Review written following the Inhomogeneous Random Systems conference (Paris, 2020). Comments very welcome

References in corpus (3)

• Freezing and extreme value statistics in a Random Energy Model with logarithmically correlated potential
• On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture
• Tail universality of critical Gaussian multiplicative chaos

Cited by in corpus (1)

• An intuitive parametric model for 3D compressible hydrodynamical and MHD turbulence