1 citations · 1 across the 9 of their papers we have counts for
11 papers
(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…
Boundary Rigidity in a fixed conformal class for Asymptotically Hyperbolic Manifolds
Tristan Humbert, Sebastián Muñoz-Thon
Given two conformal asymptotically hyperbolic metrics which are either both simple or both negatively curved, we show that if their (marked) renormalized boundary distances coincid…
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…
Scattering rigidity for standard stationary manifolds via timelike geodesics
Sebastián Muñoz-Thon
We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we us…
The linearization of the boundary rigidity problem for MP-systems and generic local boundary rigidity
Sebastián Muñoz-Thon
We consider an -system, that is, a compact Riemannian manifold with boundary, endowed with a magnetic field and a potential. On simple -systems, we stud…
The boundary and scattering rigidity problems for simple MP-systems
Sebastián Muñoz-Thon
We consider a compact Riemannian manifold with boundary, endowed with a magnetic field and a potential. This is called an -system. On simple -systems, w…