89 citations · 1.1k across the 43 of their papers we have counts for
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math.CA2017★ 36 cited
Fourier dimension and spectral gaps for hyperbolic surfaces
Jean Bourgain, Semyon Dyatlov
We obtain an essential spectral gap for a convex co-compact hyperbolic surface which depends only on the dimension of the limit set. More precisely,…
math.CA2017★ 15 cited
Dolgopyat's method and the fractal uncertainty principle
Semyon Dyatlov, Long Jin
We show a fractal uncertainty principle with exponent , , for Ahflors-David regular subsets of of dimension . This improves over the volume bo…