4 papers · 1 filter
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…