6 papers
Classification of singularities of planar slowness surfaces
Antonio Cocan, Maarten V. de Hoop, Joonas Ilmavirta +2
Slowness surfaces are algebraic varieties arising from propagation of elastic waves. In dimensions , we completely classify the types of singularities slowness surfaces can have…
Stable recovery of a simple irreversible Finsler geometry from travel time data
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
We show that a simple irreversible Finsler geometry can be recovered uniquely and Lipschitz-stably from its travel time data. We introduce and use a version of Gromov--Hausdorff di…
Tomography of 1-forms on a gas giant
Joonas Ilmavirta, Antti Kykkänen, Eetu Satukangas
We show that on gas giant manifolds the geodesic X-ray transform is solenoidally injective on one-forms that are smooth up to the boundary in an appropriate smooth structure. A gas…
Horizontal and Vertical Regularity of Elastic Wave Geometry
Joonas Ilmavirta, Pieti Kirkkopelto, Antti Kykkänen
The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic…
Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
Henri Hänninen, Antti Kykkänen, Hjørdis Schlüter
We show that the inference problem of constraining the dipole amplitude with inclusive deep inelastic scattering data can be written into a discrete linear inverse problem, in an a…
Convergence in the space of compact labeled metric spaces
Reijo Jaakkola, Antti Kykkänen
A labeled metric space is intuitively speaking a metric space together with a special set of points to be understood as the geometric boundary of the space. We study basic properti…