Fractal uncertainty for transfer operators

Mardi 5 décembre 14:00-15:00 - Maciej Zworski - University of California, Berkeley

Résumé : I will present a new explanation of the connection between the fractal uncertainty principle 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. (Joint work with S Dyatlov.)

Lieu : Salle 113-115 (Bâtiment 425)

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