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arXiv · 2606.25138

Stable recovery of a simple irreversible Finsler geometry from travel time data

Maarten V. de Hoop·Joonas Ilmavirta·Antti Kykkänen·Teemu Saksala
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Abstract

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 distance adapted to irreversible metric spaces. In contrast to reversible (e.g. Riemannian) geometry, even the question of stability becomes ill-defined without simplicity.

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Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen, Teemu Saksala. 2026-06-23. Stable recovery of a simple irreversible Finsler geometry from travel time data. https://arxiv.org/abs/2606.25138

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