Title: Semiclassical measures on hyperbolic surfaces have full support,
Abstract: 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 [arXiv:1504.06589] and proved for
porous sets in [arXiv:1612.09040].