Notice
Maciej Zworski - Fractal uncertainty for transfer operators
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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.
Thème
Documentation
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