5 papers
Marked magnetic action rigidity
Louis-Brahim Beaufort, Sebastián Muñoz-Thon, Sean Richardson
An exact magnetic system over a closed manifold consists of a pair , where is a Riemannian metric and is a 1-form encoding a magnetic field. In this context, we…
Decay of correlations on Abelian covers of isometric extensions of volume-preserving Anosov flows
Mihajlo Cekić, Thibault Lefeuvre, Sebastián Muñoz-Thon
We establish an asymptotic expansion in inverse powers of time of the correlation function of isometric extensions of volume-preserving Anosov flows on Abelian covers of closed man…
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…