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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…
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…