15 citations · 58 across the 29 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
Semiclassical analysis on principal bundles
Mihajlo Cekić, Thibault Lefeuvre
Let be a compact Lie group. We introduce a semiclassical framework, called Borel-Weil calculus, to investigate -equivariant (pseudo)differential operators acting on -prin…
Stability estimates for the Holonomy Inverse Problem
Mihajlo Cekić, Thibault Lefeuvre
On a Riemannian manifold with Anosov geodesic flow, the problem of recovering a connection from the knowledge of traces of its holonomies along primitive closed geodesics…
Generic injectivity of the X-ray transform
Mihajlo Cekić, Thibault Lefeuvre
In dimensions , we prove that the X-ray transform of symmetric tensors of arbitrary degree is generically injective with respect to the metric on closed Anosov manifolds an…
Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics
Yannick Guedes Bonthonneau, Thibault Lefeuvre
We prove a radial source estimate in Hölder-Zygmund spaces for uniformly hyperbolic dynamics (also known as Anosov flows), in the spirit of Dyatlov-Zworski. The main consequence is…
Generic dynamical properties of connections on vector bundles
Mihajlo Cekić, Thibault Lefeuvre
Given a smooth Hermitian vector bundle over a closed Riemannian manifold , we study generic properties of unitary connections on the vec…
On the s-injectivity of the X-ray transform on manifolds with hyperbolic trapped set
Thibault Lefeuvre
For smooth compact connected manifolds with strictly convex boundary, no conjugate points and a hyperbolic trapped set, we prove an equivalence principle concerning the injectivity…
Local marked boundary rigidity under hyperbolic trapping assumptions
Thibault Lefeuvre
Under the assumption that the X-ray transform over symmetric solenoidal 2-tensors is injective, we prove that smooth compact connected manifolds with strictly convex boundary, no c…