30 citations · 73 across the 22 of their papers we have counts for
5 papers · 1 filter
An inverse problem for the Standard Model of particle physics
Xi Chen, Matti Lassas, Lauri Oksanen +1
We pose and solve an inverse problem for the classical field equations that arise in the Standard Model of particle physics. Our main result describes natural conditions on the rep…
Inverse problem for the Yang-Mills equations
Xi Chen, Matti Lassas, Lauri Oksanen +1
We show that a connection can be recovered up to gauge from source-to-solution type data associated with the Yang-Mills equations in the four dimensional Minkowski space. Our proof…
A sharp stability estimate for tensor tomography in non-positive curvature
Gabriel P. Paternain, Mikko Salo
We consider the geodesic X-ray transform acting on solenoidal tensor fields on a compact simply connected manifold with strictly convex boundary and non-positive curvature. We esta…
Consistent Inversion of Noisy Non-Abelian X-Ray Transforms
François Monard, Richard Nickl, Gabriel P. Paternain
For a simple surface, the non-linear statistical inverse problem of recovering a matrix field from discrete, noisy measurements of the -value…
Detection of Hermitian connections in wave equations with cubic non-linearity
Xi Chen, Matti Lassas, Lauri Oksanen +1
We consider the geometric non-linear inverse problem of recovering a Hermitian connection from the source-to-solution map of the cubic wave equation , wh…