Harmonic analysis of Gaussian multiplicative chaos on the circle
Vortrag von Prof. Dr. Vincent Vargas
Datum: 06.03.24 Zeit: 17.15 - 18.45 Raum: ETH HG G 43 CANCELLED
Gaussian multiplicative chaos (GMC) on the circle is a canonical (random) multifractal measure on the circle which appears in a wide variety of contexts and most recently in relation to Liouville conformal field theory. In this talk, I will present the first results concerning the decay and renormalization of the Fourier coefficients of GMC. In particular, one can show that GMC is a so-called Rajchman measure which means that its Fourier coefficients go to zero when the frequency goes to infinity. Numerous questions remain open. Based on a joint work with C. Garban.