Integrable billiards on a Minkowski hyperboloid: extremal polynomials and topology

DOI10.4213/SM9662EzbMath1530.37051arXiv2010.07685OpenAlexW3198596981MaRDI QIDQ6137399

Sean Gasiorek, Milena Radnović, Vladimir Dragović

Publication date: 2 September 2023

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07685

zbMATH Keywords

Chebyshev polynomialshyperboloidMinkowski spaceperiodic trajectoriesbilliardZolotarev polynomialsconfocal quadricsFomenko invariants

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Relationships between algebraic curves and integrable systems (14H70) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Dynamical systems with singularities (billiards, etc.) (37C83) Completely integrable discrete dynamical systems (37J70)

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