Liouville measure as a multiplicative cascade via level sets of the Gaussian free field
(2020)
Journal Article
Aru, J., Powell, E., & Sepúlveda, A. (2020). Liouville measure as a multiplicative cascade via level sets of the Gaussian free field. Annales de l'Institut Fourier, 70(1), 245-205. https://doi.org/10.5802/aif.3312
We provide new constructions of the subcritical and critical Gaussian multiplicative chaos (GMC) measures corresponding to the 2D Gaussian free field (GFF). As a special case we recover E. Aidekon’s construction of random measures using nested confor... Read More about Liouville measure as a multiplicative cascade via level sets of the Gaussian free field.