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, b...

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Bibliographic Details
Main Author: Dyatlov, Semen (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Cellule MathDoc/CEDRAM, 2020-03-23T17:49:04Z.
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