Ambre Chabert

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math.AP2026

$L^{4}$ norm of spectral projectors on polynomially small frequency intervals for $S^{1}$ -symmetric surfaces

Ambre Chabert

For $(M, g)$ a compact Riemannian surface with Laplace-Beltrami operator $Δ$ , and for $λ, δ \geq 0$ , let $P_{λ, δ}$ be the spectral projector on the frequency interval $[λ - δ, λ + δ]$ asso…

math.AP2026

Zonal states and improved $L^{\infty}$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces

Ambre Chabert, Thibault Lefeuvre

We establish polynomially improved $L^{\infty}$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces in the critical energy regime. We also show that, below the cr…

math.AP2025

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 Verdìère

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

L4 norm of spectral projectors on polynomially small frequency intervals for S1-symmetric surfaces

Zonal states and improved L∞ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces

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

$L^{4}$ norm of spectral projectors on polynomially small frequency intervals for $S^{1}$ -symmetric surfaces

Zonal states and improved $L^{\infty}$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces

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