3 papers
math.AP2026
A generalized Helmholtz-type decomposition of symmetric tensor fields and applications to ray transforms
Antti Kykkänen, Rohit Kumar Mishra, Suman Kumar Sahoo
We study a solenoidal-potential type decomposition of a symmetric -tensor field in $\Rb^2$, and its implications to injectivity questions for the momentum and elastic ray transf…
math.FA2025
The elastic ray transform
Joonas Ilmavirta, Antti Kykkänen, Teemu Saksala
We introduce and study a new family of tensor tomography problems. At rank 2 it corresponds to linearization of travel time of elastic waves, measured for all polarizations. We pro…
math.MG2024
Lipschitz Stability of Travel Time Data
Joonas Ilmavirta, Antti Kykkänen, Matti Lassas +2
We prove that the reconstruction of a certain type of length spaces from their travel time data on a closed subset is Lipschitz stable. The travel time data is the set of distance…