Control of eigenfunctions on hyperbolic surfaces: an application of fractal uncertainty principle
Name
1710.08762.pdf
Description
Accepted version
Size
271.02 KB
Format
Adobe PDF
Checksum (MD5)
69b62788be7262d309a3d564d854f1ad
Author(s)
Dyatlov, Semen
Date Issued
2017
Journal
Journées Équations aux dérivées partielles
Publisher
Cellule MathDoc/CEDRAM
Citation
Dyatlov, Semyon, "Control of Eigenfunctions on Hyperbolic Surfaces: an Application of Fractal Uncertainty Principle." Journées EDP 2017: exposée no 4 (2018). doi: https://doi.org/10.5802/jedp.654 ©2018 Author(s)
Version
Author's final manuscript
Abstract
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 a constant depending on the set but not on the eigenvalue.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.5802/JEDP.654
