activity
20242026
collaborators

8 papers

math.RT2026

The spectrum of Anosov representations

Yannick Guedes Bonthonneau, Thibault Lefeuvre, Tobias Weich

Given a -Anosov representation into a real reductive group , we construct a natural resonance spectrum associated with the representation. This spectrum is a complex…

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.DS2026

Propagation of regularity along unstable manifolds

Thibault Lefeuvre, Rafael Potrie

Let be a flow on a smooth closed connected manifold that preserves and expands a foliation . We establish a theorem of propagation of regularity along the l…

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.DG2025

Marked Poincaré rigidity near hyperbolic metrics and injectivity of the Lichnerowicz Laplacian in dimension 3

Karen Butt, Alena Erchenko, Tristan Humbert +2

Let be a compact manifold without boundary equipped with a Riemannian metric of negative curvature. In this paper, we introduce the marked Poincaré determinant (MPD), a ho…

math.DG2025

The Pestov identity on the frame bundle and associated homogeneous fibrations

Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1

In this short note, we prove a global Pestov identity on the (orthonormal) frame bundle of a Riemannian manifold and deduce similar identities on associated homogeneous fibrations.…