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math.MG2026
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…
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…