Conformal welding of independent Gaussian multiplicative chaos measures
Abstract
We solve the classical conformal welding problem for a composition of two random homeomorphisms generated by independent Gaussian multiplicative chaos measures with small parameter values. In other words, given two such measures on the boundary of the unit disk we show that there exist conformal maps to complementary domains on the Riemann sphere such that the pushforwards of the normalised measures agree on the common boundary.
Fields of Study & Subjects
Geometry and complex manifolds
Analytic and geometric function theory
Point processes and geometric inequalities
Publication details
- Journal / source
- Journal of the European Mathematical Society
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Publication date
- 20 March 2026
- Language
- EN