Open problems on billiards and geometric optics
DOI10.1007/s40598-022-00198-yOpenAlexW4206594408MaRDI QIDQ2101701
Alexander Plakhov, Corentin Fierobe, Mark Levi, Sergei Tabachnikov, Misha Bialy, Alexey A. Glutsyuk
Publication date: 6 December 2022
Published in: Arnold Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.10750
complete integrabilityarea-preserving mapstrapping lightmathematical billiardsNewtonian aerodynamics
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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