2 papers
math.PR2025
Fourier dimension of imaginary Gaussian multiplicative chaos
Benjamin Bonnefont, Hermanni Rajamäki, Vincent Vargas
We study the high-frequency Fourier asymptotics of imaginary Gaussian multiplicative chaos on the unit circle, a complex-valued random distribution formally given by $\mathrm M_{\m…
math.PR2023
Harmonic analysis of Gaussian multiplicative chaos on the circle
Christophe Garban, Vincent Vargas
In this paper, we initiate the harmonic analysis of Gaussian multiplicative chaos (GMC) on the circle, i.e. the study of its Fourier coefficients. In particular, we show that almos…