May 19 - 23, 2025 HIM Workshop
Europe/Berlin timezone

Extremes for the two dimensional Liouville model

Zeitouni-1
May 20, 2025, 9:20 AM
1h
Poppelsdorfer Allee 45, 1. EG, Lecture room (HIM)

Poppelsdorfer Allee 45, 1. EG, Lecture room

HIM

Scheduled Talks

Speaker

Prof. ofer zeitouni (technion)

Description

We establish a strong coupling between the Liouville model and the Gaussian free field on the two dimensional torus, which bounds the difference of the two fields uniformly by a random constant. As an application we show that the maximum of the Liouville field converges in distribution to a randomly shifted Gumbel distribution.

Joint work with Michael Hofstteter.

Author

Prof. ofer zeitouni (technion)

Presentation materials

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