1 citations · 1 across the 6 of their papers we have counts for
6 papers
norm of spectral projectors on polynomially small frequency intervals for -symmetric surfaces
Ambre Chabert
For a compact Riemannian surface with Laplace-Beltrami operator , and for , let be the spectral projector on the frequency interval asso…
Zonal states and improved bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces
Ambre Chabert, Thibault Lefeuvre
We establish polynomially improved bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces in the critical energy regime. We also show that, below the cr…
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}}…
Bounds for quasimodes with polynomially narrow bandwidth on surfaces of revolution
Ambre Chabert
Given a compact surface of revolution with Laplace-beltrami operator , we consider the spectral projector on a polynomially narrow frequency interval , whi…
A Weakly Turbulent solution to the cubic Nonlinear Harmonic Oscillator on perturbed by a real smooth potential decaying to zero at infinity
Maxine Chabert
We build a smooth real potential on decaying to zero as and a smooth solution to the associated perturbed cubic Nonlinear…
Weakly turbulent solution to Schrödinger equation on the two-dimensional torus with real potential decaying at infinity
Ambre Chabert
We build a smooth time-dependent real potential on the two-dimensional torus, decaying as time tends to infinity in Sobolev norms along with all its time derivative, and we exhibit…