Recovering obstacles from their traveling times

DOI10.1063/5.0129066MaRDI QIDQ6571524

Lyle Noakes, Tal Gurfinkel, Luchezar Stoyanov

Publication date: 12 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

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• Decay of solutions of the wave equation in the exterior of several convex bodies
• Geodesic flows
• Integrability and ergodicity of classical billiards in a magnetic field.
• Dispersing billiards without focal points on surfaces are ergodic
• Travelling times in scattering by obstacles in curved space
• Travelling times in scattering by obstacles
• Santalo's formula and stability of trapping sets of positive measure
• Obstacles with non-trivial trapping sets in higher dimensions
• Rigidity of scattering lengths and travelling times for disjoint unions of strictly convex bodies
• Detecting intrinsic global geometry of an obstacle via layered scattering

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