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math-ph2006
Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
Nalini Anantharaman, Stéphane Nonnenmacher
We study the high-energy eigenfunctions of the Laplacian on a compact Riemannian manifold with Anosov geodesic flow. The localization of a semiclassical measure associated with a s…
math.SP2006★ 35 cited
Patterson-Sullivan distributions and quantum ergodicity
Nalini Anantharaman, Steve Zelditch
We relate two types of phase space distributions associated to eigenfunctions of the Laplacian on a compact hyperbolic surface : (1) Wigner distributions $\int_{S^*…