Abstract
This note deals with semiclassical measures associated with (sufficiently accurate) quasimodes (uh) for the Laplace–Dirichlet operator on the disk. In this time-independent set-up, we simplify the statements of [3] and their proofs. We describe the restriction of semiclassical measures to every invariant torus in terms of two-microlocal measures. As corollaries, we show regularity and delocalization properties for limit measures of |uh|2dx: these are absolutely continuous in the interior of the disk and charge every open set intersecting the boundary.
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