Ambre Chabert

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20232026

most citedWeakly turbulent solution to Schrödinger equation on the two-dimensional torus with real potential decaying at infinity

1 citations · 1 across the 6 of their papers we have counts for

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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…

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

$L^{4}$ 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