Spectral gaps without the pressure condition

For all convex co-compact hyperbolic surfaces, we prove the existence of an essential spectral gap, that is, a strip beyond the unitarity axis in which the Selberg zeta function has only finitely many zeroes. We make no assumption on the dimension δ of the limit set; in particular, we do not require...

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Bibliographic Details
Main Authors: Bourgain, Jean, Dyatlov, Semyon
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Mathematics Department, Princeton University 2019
Online Access:https://hdl.handle.net/1721.1/123097