Memorias de investigación
Artículos en revistas:
Concentration of Symmetric Eigenfunctions
Año:2010
Áreas de investigación
  • Ingeniería mecánica, aeronaútica y naval
Datos
Descripción
In this article we examine the concentration and oscillation effects developed by highfrequency eigenfunctions of the Laplace operator in a compact Riemannian manifold. More precisely, we are interested in the structure of the possible invariant semiclassical measures obtained as limits of Wigner measures corresponding to eigenfunctions. These measures describe simultaneously the concentration and oscillation effects developed by a sequence of eigenfunctions. We present some results showing how to obtain invariant semiclassical measures from eigenfunctions with prescribed symmetries. As an application of these results, we give a simple proof of the fact that in a manifold of constant positive sectional curvature, every measure which is invariant by the geodesic flow is an invariant semiclassical measure.
Internacional
Si
JCR del ISI
No
Título de la revista
Nonlinear analysis
ISSN
0362-546X
Factor de impacto JCR
0
Información de impacto
Volumen
73
DOI
10.1016
Número de revista
3
Desde la página
683
Hasta la página
688
Mes
AGOSTO
Ranking
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Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: CEHINAV (Canal de Ensayos Hidrodinámicos de la E.T.S.I. Navales)
  • Departamento: Enseñanzas Básicas de la Ingeniería Naval