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 (Author), Dyatlov, Semyon (Author)
Format: Article
Language:English
Published: Mathematics Department, Princeton University, 2019-12-02T21:32:00Z.
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