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20172025
most citedFourier dimension and spectral gaps for hyperbolic surfaces

36 citations · 36 across the 2 of their papers we have counts for

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math.AP2021

Around quantum ergodicity

Semyon Dyatlov

We discuss Shnirelman's Quantum Ergodicity Theorem, giving an outline of a proof and an overview of some of the recent developments in mathematical Quantum Chaos.

math.AP2018

Microlocal analysis of forced waves

Semyon Dyatlov, Maciej Zworski

We use radial estimates for pseudodifferential operators to describe long time evolution of solutions to where is a self-adjoint 0th order pseudodifferent…

math.AP2017

Control of eigenfunctions on hyperbolic surfaces: an application of fractal uncertainty principle

Semyon Dyatlov

This expository article, written for the proceedings of the Journées EDP (Roscoff, June 2017), presents recent work joint with Jean Bourgain [arXiv:1612.09040] and Long Jin [arXiv:…