most citedDispersion and controllability for the Schrödinger equation on negatively curved manifolds

7 citations · 12 across the 3 of their papers we have counts for

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math.AP2010★ 2 cited

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…

math.AP2010★ 7 cited

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.…

math.AP2010★ 3 cited

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…