Speaker
Alexander Bufetov
(Steklov Mathematical Institute of Russian Academy of Sciences)
Description
The main result of the talk is that the random entire function
associated to the sine-process converges to the Gaussian multiplicative chaos under suitable normalization. As a corollary of the developed formalism, we obtain that almost every realization of the sine-process, after removing one particle, becomes a complete minimal set for the Paley-Wiener space.