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arXiv · 2601.04804

Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces

Thibault Lefeuvre
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Abstract

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 of the Journ\'ees EDP 2025}, is a concise overview of the main results obtained in [arXiv:2505.08584] and work in preparation by the author with L. Charles and A. Chabert.

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Thibault Lefeuvre. 2026-01-08. Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces. https://arxiv.org/abs/2601.04804

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