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...
Main Authors: | Bourgain, Jean (Author), Dyatlov, Semyon (Author) |
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Format: | Article |
Language: | English |
Published: |
Mathematics Department, Princeton University,
2019-12-02T21:32:00Z.
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Subjects: | |
Online Access: | Get fulltext |
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