3 papers
math.AP2025
On the {} norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk
Ambre Chabert, Yves Colin de Verdìère
Given a compact Riemannian surface , with Laplace-Beltrami operator , for , let be the spectral projector on the bandwidth $[λ-λ^{-\frac{1}{3}}…
math.AP2025
On the spectral theory of sign-changing Laplace operators
Yves Colin de Verdière
We study spectral theory of sign-changing Laplace operators using semi-classical Dirichlet-to-Neumann maps. We prove the existence of modesconcentrated on the interface and describ…
math.AP2024
Classical and Quantum mechanics on 3D contact manifolds
Yves Colin de Verdìère
In this survey paper, I describe some aspects of the dynamics and the spectral theory of sub-Riemannian3D contact manifolds. We use Toeplitz quantization of the characteristic cone…