23 citations · 69 across the 8 of their papers we have counts for
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Eigenfunctions for partially rectangular billiards
N. Burq, M. Zworski
In this note we further develop the idea of using a ``black box'' point of view (see our previous work) to study eigenfunctions for billiards which have rectangular components: the…
Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds
N. Burq, P. Gerard, N. Tzvetkov
The purpose of this note is to extend to any space dimension the bilinear estimate for eigenfunctions of the Laplace operator on a compact manifold (without boundary) obtained in a…
Bouncing ball modes and quantum chaos
N. Burq, M. Zworski
Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we…
Control in the presence of a black box
N. Burq, M. Zworski
We apply the ``black box'' scattering theory to problems in control theory and in high energy eigenvalue scarring.
Quantum ergodicity of boundary values of eigenfunctions: A control theory approach
Nicolas Burq
Consider , a bounded domain in , which is a Riemanian manifold with piecewise smooth boundary and suppose that the billiard associated to the geodesic flow reflec…