Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell

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dc.creatorDe Verdière, Yves Colin
dc.date2009-02-12
dc.date.accessioned2026-07-07T12:40:56Z
dc.date.available2026-07-07T12:40:56Z
dc.descriptionThis paper is inspired from the nice result of Andrew Hassell on the eigenfunctions in the stadium billiard. From a classical paper of V. Arnol'd, we know that quasi-modes are not always close to exact modes. We show that, for almost all Riemannian metrics on closed surfaces with an elliptic generic closed geodesic C, there exists exact modes located on C. Related problems in the integrable case are discussed in several papers of John Toth and Steve Zelditch.
dc.identifierhttps://arxiv.org/abs/0902.2095
dc.identifierhttp://arxiv.org/abs/0902.2095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219602
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject35P20, 58J37, 59J50
dc.titleModes and quasi-modes on surfaces: variation on an idea of Andrew Hassell
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