Pseudo-integrable billiards and arithmetic dynamics

DOI10.3934/jmd.2014.8.109zbMath1351.37160arXiv1206.0163OpenAlexW2963245351MaRDI QIDQ478794

Milena Radnović, Vladimir Dragović

Publication date: 4 December 2014

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0163

zbMATH Keywords

polygonal billiardsmeasured foliationsperiodic billiard trajectoriesPoncelet theoreminterval exchangeconfocal conics

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

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• Geometry of integrable billiards and pencils of quadrics
• Poncelet's closure theorem
• Dynamical systems with multivalued integrals on a torus
• Poncelet Porisms and Beyond
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Kernel functions, analytic torsion, and moduli spaces
• Three Problems in Search of a Measure
• Cayley-type conditions for billiards withinkquadrics in
• The Poncelet grid
• The Poncelet Grid and Billiards in Ellipses
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2

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