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math.AP2026
Convergence speed for the average density of eigenfunctions for singular Riemannian manifolds
Charlotte Dietze
We consider a class of singular Riemannian metrics on a compact Riemannian manifold with boundary and the eigenfunctions of the corresponding Laplace-Beltrami operator. In our sett…
math.AP2024
Concentration of eigenfunctions on singular Riemannian manifolds
Charlotte Dietze, Larry Read
We consider a compact Riemannian manifold with boundary and a metric that is singular at the boundary. The associated Laplace-Beltrami operator is of the form of a Grushin operator…
math.AP2024
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…