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

This expository article, written for the proceedings of the Journées EDP (Roscoff, June 2017), presents recent work joint with Jean Bourgain and Long Jin. We in particular show that eigenfunctions of the Laplacian on hyperbolic surfaces are bounded from below in L² norm on each nonempty open set, by...

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Bibliografiske detaljer
Hovedforfatter: Dyatlov, Semen
Andre forfattere: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Sprog:English
Udgivet: Cellule MathDoc/CEDRAM 2020
Online adgang:https://hdl.handle.net/1721.1/124167