89 citations · 1.1k across the 43 of their papers we have counts for
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math.AP2019★ 52 cited
Control of eigenfunctions on surfaces of variable curvature
Semyon Dyatlov, Long Jin, Stéphane Nonnenmacher
We prove a microlocal lower bound on the mass of high energy eigenfunctions of the Laplacian on compact surfaces of negative curvature, and more generally on surfaces with Anosov g…
math.CA2019★ 35 cited
An introduction to fractal uncertainty principle
Semyon Dyatlov
Fractal uncertainty principle states that no function can be localized in both position and frequency near a fractal set. This article provides a review of recent developments on t…