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math.AP2026
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…
math.AP2026
Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces
Thibault Lefeuvre
The magnetic Laplacian on hyperbolic surfaces provides a rich analytic framework in which a variety of quantum phenomena emerge. The present note, written for the \emph{Proceedings…
math.AP2025
Semiclassical defect measures of magnetic Laplacians on hyperbolic surfaces
Laurent Charles, Thibault Lefeuvre
On a closed hyperbolic surface, we investigate semiclassical defect measures associated with the magnetic Laplacian in the presence of a constant magnetic field. Depending on the e…