Maciej Zworski (UC Berkeley)

The Analysis and PDE seminar will take place Monday, October 16, in 740 Evans from 4:10 to 5pm.

Title: Fractal uncertainty for transfer operators

Abstract: 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.)