Quantum unique ergodicity

DOI10.1090/S0002-9939-02-06810-7zbMath1027.58024OpenAlexW1766871389WikidataQ126023482 ScholiaQ126023482MaRDI QIDQ4806446

Harold Donnelly

Publication date: 14 May 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06810-7

zbMATH Keywords

Riemannian manifoldsquantum ergodicityerdogic geodesic flow

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (13)

Recent progress on the quantum unique ergodicity conjecture ⋮ Entropy of semiclassical measures for nonpositively curved surfaces ⋮ Variations on quantum ergodic theorems ⋮ Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold ⋮ Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet) ⋮ Quantum leaks ⋮ Noncommutative residues and a characterisation of the noncommutative integral ⋮ Eigenfunctions for Partially Rectangular Billiards ⋮ Geometric control in the presence of a black box ⋮ Note on quantum unique ergodicity ⋮ Spreading of quasimodes in the Bunimovich stadium ⋮ Localized eigenfunctions in Šeba billiards ⋮ Around quantum ergodicity

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