Donnelly, Harold Quantum unique ergodicity. (English) Zbl 1027.58024 Proc. Am. Math. Soc. 131, No. 9, 2945-2951 (2003). Author’s summary: Consider a compact Riemannian manifold with ergodic geodesic flow. Quantum ergodicity is generalized from orthonormal bases of eigenfunctions of the Laplacian to packets of eigenfunctions. It is shown that this more general result is sharp. Namely, there may exist exceptional packets of eigenfunctions which concentrate on a submanifold. Reviewer: Georgi E.Karadzhov (Sofia) Cited in 13 Documents MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) Keywords:Riemannian manifolds; erdogic geodesic flow; quantum ergodicity PDFBibTeX XMLCite \textit{H. Donnelly}, Proc. Am. Math. Soc. 131, No. 9, 2945--2951 (2003; Zbl 1027.58024) Full Text: DOI