Semiclassical measures on hyperbolic surfaces have full support
We show that each limiting semiclassical measure obtained from a sequence of eigenfunctions of the Laplacian on a compact hyperbolic surface is supported on the entire cosphere bundle. The key new ingredient for the proof is the fractal uncertainty principle, first formulated in "Spectral gaps,...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
International Press of Boston,
2019-11-15T22:59:36Z.
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| Subjects: | |
| Online Access: | Get fulltext |