Inverse problems and rigidity questions in billiard dynamics

DOI10.1017/etds.2021.37zbMath1495.37029OpenAlexW3172181776WikidataQ114118846 ScholiaQ114118846MaRDI QIDQ5027311

Alfonso Sorrentino, Vadim Yu. Kaloshin

Publication date: 4 February 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2021.37

zbMATH Keywords

integrable billiardslength spectrumspectral rigidityBirkhoff conjecturemathematical billiards

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of twist maps (37E40) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Dynamical systems with singularities (billiards, etc.) (37C83) Completely integrable discrete dynamical systems (37J70)

Related Items (1)

Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture

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