Original paper
The Fyodorov–Bouchaud formula and Liouville conformal field theory
Abstract
In a remarkable paper in 2008, Fyodorov and Bouchaud conjectured an exact formula for the density of the total mass of (sub-critical) Gaussian multiplicative chaos (GMC) associated to the Gaussian free field (GFF) on the unit circle. In this paper we will give a proof of this formula. In the mathematical literature this is the first occurrence of an explicit probability density for the total mass of a GMC measure. The key observation of our...
Paper Details
Title
The Fyodorov–Bouchaud formula and Liouville conformal field theory
Published Date
Dec 17, 2019
Journal
Volume
169
Issue
1
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