Aubry-Mather theory and the inverse spectral problem for planar convex domains
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Publication:1961348
DOI10.1007/BF02780181zbMath0996.37051OpenAlexW2033036350MaRDI QIDQ1961348
Publication date: 17 January 2000
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02780181
rotation numberinverse spectral problemAubry-Mather theorymarked length spectrumaction-minimizing orbitsmonotone twist mappingsmaximal length of closed geodesics
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Cites Work
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- Minimal measures
- Action minimizing invariant measures for positive definite Lagrangian systems
- Caustics and evolutes for convex planar domains
- The Poisson summation formula for manifolds with boundary
- Spectral invariants of convex planar regions
- Critical point theory and Hamiltonian systems
- A new proof of the Aubry-Mather's theorem
- The propagation of singularities along gliding rays
- Geodesic rays, Busemann functions and monotone twist maps
- Convex billiards and a theorem by E. Hopf
- Invariants of the length spectrum and spectral invariants of planar convex domains
- Integrable smooth planar billiards and evolutes
- A dynamical systems approach to Birkhoff's theorem
- A dynamical approach to symplectic and spectral invariants for billiards
- Caustics for inner and outer billiards
- Action-minimizing measures and the geometry of the Hamiltonian diffeomorphism group.
- Differentiability of the minimal average action as a function of the rotation number
- Invariant Tori for the Billiard Ball Map
- THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
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