44 citations · 182 across the 18 of their papers we have counts for
5 papers · 1 filter
Tensor Tomography on Asymptotically Hyperbolic Surfaces
Nikolas Eptaminitakis, François Monard, Yuzhou Joey Zou
We initiate a study of the inversion of the geodesic X-ray transform over symmetric -tensor fields on asymptotically hyperbolic surfaces. This operator has a non-trivial k…
Biholomorphism Rigidity for Transport Twistor Spaces
Jan Bohr, François Monard, Gabriel P. Paternain
We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the…
The geodesic X-ray transform with a -connection
François Monard, Gabriel P. Paternain
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined on simple Riemannian surfaces. Such formulas provide injectivity of such all tran…
The geodesic ray transform on Riemannian surfaces with conjugate points
François Monard, Plamen Stefanov, Gunther Uhlmann
We study the geodesic X-ray transform on compact Riemannian surfaces with conjugate points. Regardless of the type of the conjugate points, we show that we cannot recover the s…
Numerical implementation of geodesic X-ray transforms and their inversion
François Monard
We present a numerical implementation of the geodesic ray transform and its inversion over functions and solenoidal vector fields on two-dimensional Riemannian manifolds. For each…