Modul:   MAT971  Seminar über stochastische Prozesse

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.