Gaussian multiplicative chaos and excess one for the sine-process

2 Jul 2023, 11:10
45m

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.

Presentation Materials

There are no materials yet.