15 citations · 58 across the 29 of their papers we have counts for
7 papers · 1 filter
On the singular set of the geodesic flow on nonpositively curved surfaces
Thibault Lefeuvre
We prove that the singular locus of the geodesic flow on the unit tangent bundle of a nonpositively curved surface enjoys an additional regularity property: its characteristic func…
Stability and uniqueness of minimal disks in non-constant curvature
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
Nitsche proved that every smooth Jordan curve in of total curvature at most bounds a unique minimal disk, which is moreover strictly stable. We prove an analogu…
Foliated Plateau problems, surface Radon transforms, and boundary area rigidity in dimension three
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
The present paper studies integral geometry problems on three-dimensional Riemannian balls, where integration is performed over minimal surfaces or, more generally, -surfaces de…
The spectrum of Anosov representations
Yannick Guedes Bonthonneau, Thibault Lefeuvre, Tobias Weich
Given a -Anosov representation into a noncompact semisimple real algebraic group , where is a parabolic subgroup, we construct a natural resonance spectrum for the cl…
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…
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 le…
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…