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Vidéo Année : 2017

Maciej Zworski - Fractal uncertainty for transfer operators

Afficher 

Maciej Zworski
  • Fonction : Auteur
  • PersonId : 828337
Fanny Bastien

Résumé

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 Selberg zeta 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.

Dates et versions

medihal-01721761 , version 1 (02-03-2018)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01721761 , version 1

Citer

Maciej Zworski, Fanny Bastien. Maciej Zworski - Fractal uncertainty for transfer operators: MathAlp Colloquium 2017 . 2017. ⟨medihal-01721761⟩
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