Pointwise rotation sets of dispersing billiards

DOI10.1007/S13324-021-00518-ZzbMath1464.37035OpenAlexW3134246611MaRDI QIDQ2661160

Zainab Alsheekhhussain

Publication date: 1 April 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00518-z

zbMATH Keywords

periodic trajectoriesrotation vectorsdispersing billiardsrotation theorygeneral rotation setpointwise rotation set

Mathematics Subject Classification ID

Periodic and quasi-periodic flows and diffeomorphisms (37C55) Rotation numbers and vectors (37E45) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

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• On general rotation sets of open billiards
• Rotation sets of billiards with one obstacle
• Geometric bounds on the density of resonances for semiclassical problems
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• Rotation sets of billiards with \(N\) obstacles on a torus
• Rotation, entropy, and equilibrium states
• The Symbolic Representation of Billiards without Boundary Condition
• Rotation Sets for Maps of Tori
• Rotation sets and ergodic measures for torus homeomorphisms
• Exponential instability for a class of dispersing billiards
• Rotation Sets of Open Billiards
• Dynamical systems with elastic reflections

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