1 citations · 1 across the 9 of their papers we have counts for
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(In)stability results for the Light Ray Transform
Leonard Busch, Sebastián Muñoz-Thon, Lauri Oksanen
We prove quantitative instability results for the light ray transform in the Minkowski setting, and locally in the smooth and Gevrey categories. In the smooth Sobolev setting, we s…
Heat propagation on abelian covers of principal bundles
Sebastián Muñoz-Thon
We study the long-time asymptotics of heat kernels on Abelian covers of compact manifolds and on Abelian covers of principal bundles. For Abelian covers, we establish three complem…
Guillarmou's Normal Operator for Magnetic and Thermostat Flows
Sebastián Muñoz-Thon, Sean Richardson
Guillarmou's normal operator over a closed Anosov manifold is analogous to the classical normal operator of the geodesic X-ray transform over manifolds with boundary. In this paper…
On the interplay between inverse scattering for asymptotically hyperbolic manifolds and the Calderón problem for the Conformal Laplacian
Sebastián Muñoz-Thon
In this short note, we use the relation obtained by Guillarmou--Guillopé and Chang--González between the generalized eigenvalue problem for asymptotically hyperbolic (AH) manifolds…
A Calderón's problem for harmonic maps
Sebastián Muñoz-Thon
We study a version of Calderón's problem for harmonic maps between Riemannian manifolds. By using the higher linearization method, we first show that the Dirichlet-to-Neumann map d…