84 citations · 605 across the 68 of their papers we have counts for
4 papers · 1 filter
Boundary and lens rigidity for non-convex manifolds
Colin Guillarmou, Marco Mazzucchelli, Leo Tzou
We study the boundary and lens rigidity problems on domains without assuming the convexity of the boundary. We show that such rigidities hold when the domain is a simply connected…
X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds
C. Robin Graham, Colin Guillarmou, Plamen Stefanov +1
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivity of the X-ray transform in several cases and consider the non-linear inverse p…
Eigenvalue bounds for non-self-adjoint Schrödinger operators with non-trapping metrics
Colin Guillarmou, Andrew Hassell, Katya Krupchyk
We study eigenvalues of non-self-adjoint Schrödinger operators on non-trapping asymptotically conic manifolds of dimension . Specifically, we are concerned with the followi…
Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension 3
Frederic Faure, Colin Guillarmou
We show that for smooth contact Anosov flows in dimension 3, the resonant states associated to the first band of Ruelle resonances are distributions that are killed by the unstable…