5 citations · 8 across the 9 of their papers we have counts for
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Scattering rigidity for Hamiltonian systems with an application to Finsler geometry
Nikolas Eptaminitakis, Plamen Stefanov
We study scattering rigidity for Hamiltonian systems on , where is a manifold with boundary equipped with a positively homogeneous Hamiltonian function $H(x,ξ)…
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…
The covariance metric in the Blaschke locus
Xian Dai, Nikolas Eptaminitakis
We prove that the Blaschke locus has the structure of a finite dimensional smooth manifold away from the Teichm{ü}ller space and study its Riemannian manifold structure with respec…
Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification
Nikolas Eptaminitakis, C. Robin Graham
We prove local injectivity near a boundary point for the geodesic X-ray transform for an asymptotically hyperbolic metric even mod in dimensions three and higher.
Asymptotically Hyperbolic Manifolds with Boundary Conjugate Points but no Interior Conjugate Points
Nikolas Eptaminitakis, C. Robin Graham
We construct non-trapping asymptotically hyperbolic manifolds with boundary conjugate points but no interior conjugate points.