91 citations · 323 across the 30 of their papers we have counts for
6 papers · 1 filter
Intertwining the geodesic flow and the Schrodinger group on hyperbolic surfaces
Nalini Anantharaman, Steve Zelditch
We construct an explicit intertwining operator $\lcal$ between the Schrödinger group $e^{it \frac\Lap2} $ and the geodesic flow on certain Hilbert spaces of symbols on the co…
A Haar component for quantum limits on locally symmetric spaces
Nalini Anantharaman, Lior Silberman
We prove lower bounds for the entropy of limit measures associated to non-degenerate sequences of eigenfunctions on locally symmetric spaces of non-positive curvature. In the case…
Dispersion and controllability for the Schrödinger equation on negatively curved manifolds
Nalini Anantharaman, Gabriel Riviere
We study the time-dependent Schrödinger equation on a compact riemannian manifold on which the geodesic flow has the Anosov property.…
Exponential decay for products of Fourier integral operators
Nalini Anantharaman
This text contains an alternative presentation, and in certain cases an improvement, of the "hyperbolic dispersive estimate" that was proved by Anantharaman and Nonnenmacher and us…
Semiclassical measures for the Schrödinger equation on the torus
Nalini Anantharaman, Fabricio Macià
In this article, the structure of semiclassical measures for solutions to the linear Schrödinger equation on the torus is analysed. We show that the disintegration of such a measur…
Chaotic vibrations and strong scars
Nalini Anantharaman, Stéphane Nonnenmacher
This article aims at popularizing some aspects of "quantum chaos", in particular the study of eigenmodes of classically chaotic systems, in the semiclassical (or high frequency) li…