Geodesic
Control of eigenfunctions on hyperbolic surfaces: an application of fractal uncertainty principle
Dyatlov, Semyon1
1 Department of Mathematics Massachusetts Institute of Technology 77 Massachusetts Avenue Cambridge, MA 02139, USA
Journées équations aux dérivées partielles (2017), Exposé no. 4, 14 p.

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This expository article, written for the proceedings of the Journées EDP (Roscoff, June 2017), presents recent work joint with Jean Bourgain [BD16] and Long Jin [DJ17]. We in particular show that eigenfunctions of the Laplacian on hyperbolic surfaces are bounded from below in L 2 norm on each nonempty open set, by a constant depending on the set but not on the eigenvalue.

Publié le :
DOI : 10.5802/jedp.654

Dyatlov, Semyon 1

1 Department of Mathematics Massachusetts Institute of Technology 77 Massachusetts Avenue Cambridge, MA 02139, USA 
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Dyatlov, Semyon. Control of eigenfunctions on hyperbolic surfaces: an application of fractal uncertainty principle. Journées équations aux dérivées partielles (2017), Exposé no. 4, 14 p. doi : 10.5802/jedp.654. http://geodesic.mathdoc.fr/articles/10.5802/jedp.654/

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