RT Journal Article
T1 Concentration of Symmetric Eigenfunction
A1 Azagra Rueda, Daniel
A1 Maciá Lang, Fabricio
AB In this article we examine the concentration and oscillation effects developed by high-frequency 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.
PB Elsevier
SN 0362-546X
YR 2010
FD 2010-08
LK https://hdl.handle.net/20.500.14352/41957
UL https://hdl.handle.net/20.500.14352/41957
LA eng
DS Docta Complutense
RD 5 abr 2025