Yves Colin de Verdière

collaborators

3 papers

math.SP2026

Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent

Yves Colin de VerdiÃ¨re, Charlotte Dietze, Emmanuel TrÃ©lat

We consider a compact smooth manifold $X$ of dimension $n + 1$ with boundary $M = \partial X$ . In a collar neighborhood of $M$ , we assume that the metric has the form $g = u^{- I^\pm} g ˉ$ …

math.AP2026

On the { $L^{\infty}$ } norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk

Ambre Chabert, Yves Colin de VerdÃ¬Ã¨re

Given a compact Riemannian surface $M$ , with Laplace-Beltrami operator $I^$ , for $I^» > 0$ , let $P_{I^», I^»^{- \frac{1}{3}}}$ be the spectral projector on the bandwidth $[Î»-Î»^{-\frac{…

math.AP2025

On the spectral theory of sign-changing Laplace operators

Yves Colin de VerdiÃ¨re

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…

Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent

On the {L∞} norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk

On the spectral theory of sign-changing Laplace operators

On the { $L^{\infty}$ } norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk