Fractal Uncertainty for Transfer Operators
We show directly that the fractal uncertainty principle of Bourgain-Dyatlov [3] implies that there exists σ > 0 for which the Selberg zeta function (1.2) for a convex co-compact hyperbolic surface has only finitely many zeros with Re s≥1/2−σ. That eliminates advanced microlocal techniques of Dya...
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| Format: | Article |
| Language: | English |
| Published: |
Oxford University Press (OUP),
2019-11-14T21:07:18Z.
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| Subjects: | |
| Online Access: | Get fulltext |