On length spectrum rigidity of dispersing billiard systems

DOI10.3934/jmd.2023025arXiv2208.12244OpenAlexW4388763233MaRDI QIDQ6066115

Otto Vaughn Osterman

Publication date: 12 December 2023

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.12244

zbMATH Keywords

inverse problemsspectral rigiditydynamical billiards

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

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• Birkhoff normal forms in semi-classical inverse problems.
• Decay of solutions of the wave equation in the exterior of several convex bodies
• A combinatorial proof of the multivariable Lagrange inversion formula
• The propagation of singularities along gliding rays
• Inverse spectral problem for analytic domains. I: Balian-Bloch trace formula
• Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards
• Dynamical spectral rigidity among \(\mathbb{Z}_2\)-symmetric strictly convex domains close to a circle
• Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains
• Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems 2e
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• Singularities of boundary value problems. II
• Periods of Multiple Reflecting Geodesics and Inverse Spectral Results
• Can One Hear the Shape of a Drum?
• Marked length spectral determination of analytic chaotic billiards with axial symmetries

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