Conférence
Notice
Langue :
Français
Crédits
Fanny Bastien (Réalisation), Maciej Zworski (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/nnpd-7z06
Citer cette ressource :
Maciej Zworski. I_Fourier. (2017, 23 novembre). Maciej Zworski - Fractal uncertainty for transfer operators. [Vidéo]. Canal-U. https://doi.org/10.60527/nnpd-7z06. (Consultée le 20 septembre 2024)

Maciej Zworski - Fractal uncertainty for transfer operators

Réalisation : 23 novembre 2017 - Mise en ligne : 13 avril 2018
  • document 1 document 2 document 3
  • niveau 1 niveau 2 niveau 3
Descriptif

I will present a new explanation of the connection between the fractal uncertainty principle (FUP) of Bourgain-Dyatlov, a statement in harmonic analysis, and the existence of zero free strips for Selbergzeta functions, which is a statement in geometric scattering/dynamical systems. The connection is proved using (relatively) elementary methods via the Ruelle transfer operator which is a well known object in thermodynamical formalism of chaotic dynamics. The talk will assume no knowledge of the subject and I will also present applications of FUP to properties of eigenfunction on compact hyperbolic surfaces due to Dyatlov-Jin.

Intervention

Avec les mêmes intervenants et intervenantes

Sur le même thème