2 citations · 3 across the 3 of their papers we have counts for
3 papers
Weyl formulae for some singular metrics with application to acoustic modes in gas giants
Yves Colin de Verdìère, Charlotte Dietze, Maarten V. de Hoop +1
This paper is motivated by recent works on inverse problems for acoustic wave propagation in the interior of gas giant planets. In such planets, the speed of sound is isotropic and…
Exotic eigenvalues of shrinking metric graphs
Gregory Berkolaiko, Yves Colin de Verdière
Eigenvalue spectrum of the Laplacian on a metric graph with arbitrary but fixed vertex conditions is investigated in the limit as the lengths of all edges decrease to zero at the s…
Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
We consider a closed three-dimensional contact sub-Riemannian manifold. The objective of this note is to provide a precise description of the sub-Riemannian geodesics with large in…