35 citations · 36 across the 3 of their papers we have counts for
4 papers
Spectral deviations for the damped wave equation
Nalini Anantharaman
We prove a Weyl-type fractal upper bound for the spectrum of the damped wave equation, on a negatively curved compact manifold. It is known that most of the eigenvalues have an ima…
Entropy of eigenfunctions
Nalini Anantharaman, Herbert Koch, Stéphane Nonnenmacher
We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lowe…
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^*…
Gibbs measures and semiclassical approximations to action minimizing measures
N. Anantharaman
We study the approximation of action minimizing measures, for a mechanical Lagrangian on the torus, by the probability densities given by quasi-periodic eigenfunctions of the Schro…