Open problems on billiards and geometric optics

DOI10.1007/s40598-022-00198-yzbMath1509.00013arXiv2110.10750MaRDI QIDQ6380882

Alexey A. Glutsyuk, Misha Bialy, Sergei Tabachnikov, Alexander Plakhov, Mark Levi, Corentin Fierobe

Publication date: 20 October 2021

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Convex sets in (2) dimensions (including convex curves) (52A10) Geometric optics (78A05) Lists of open problems (00A27) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

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