Fourier dimension and spectral gaps for hyperbolic surfaces

© 2017, Springer International Publishing AG. We obtain an essential spectral gap for a convex co-compact hyperbolic surface M= Γ \ H2 which depends only on the dimension δ of the limit set. More precisely, we show that when δ> 0 there exists ε0= ε0(δ) > 0 such that the Selberg zeta function h...

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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: Springer Nature 2021
Online Access:https://hdl.handle.net/1721.1/133910