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 $I^$ , and for $I^», I^´ \geq 0$ , let $P_{I^», I^´}$ be the spectral projector on the frequency interval $[Î»-Î´,Î»+…

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.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…

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

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

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

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

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

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