Generic spectral simplicity of polygons

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dc.creatorHillairet, Luc
dc.creatorJudge, Chris
dc.date2007-03-21
dc.date2008-02-19
dc.date.accessioned2026-07-07T09:21:36Z
dc.date.available2026-07-07T09:21:36Z
dc.descriptionWe study the Laplace operator with Dirichlet or Neumann boundary condition on polygons in the Euclidean plane. We prove that almost every simply connected polygon with at least four vertices has simple spectrum. We also address the more general case of geodesic polygons in a constant curvature space form.
dc.descriptionlength reduced to 6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0703616
dc.identifierhttp://arxiv.org/abs/math/0703616
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155080
dc.subjectSpectral Theory
dc.subject58J50; 35P99
dc.titleGeneric spectral simplicity of polygons
dc.typetext

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