Homotopical complexity of a 3𝐷 billiard flow

DOI10.1090/conm/698/13981zbMath1398.37033arXiv1601.08241OpenAlexW4238256040MaRDI QIDQ4686901

Nándor Simányi, Caleb C. Moxley

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1601.08241

zbMATH Keywords

topological entropyescape to infinityhomotopical rotation vector

Mathematics Subject Classification ID

Topological entropy (37B40) Flows on surfaces (37E35) Rotation numbers and vectors (37E45)

Related Items (1)

Homotopical complexity of a billiard flow on the 3D flat torus with two cylindrical obstacles

Cites Work

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• Rotation sets of billiards with one obstacle
• Symbolic dynamics and hyperbolic groups
• New dynamical invariants on hyperbolic manifolds
• Asymptotic cycles
• Rotation Sets of Toral Flows
• Rotation Sets for Maps of Tori
• Realizing Rotation Vectors for Torus Homeomorphisms
• Homotopical complexity of 2D billiard orbits

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