Devil's staircase – rotation number of outer billiard with polygonal invariant curves

DOI10.1080/14689367.2015.1078778zbMath1362.37087arXiv1402.2319OpenAlexW1853120350MaRDI QIDQ2811258

Zijian Yao

Publication date: 10 June 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2319

zbMATH Keywords

rotation numberinvariant curvesdevil's staircaseouter billiards

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45)

Cites Work

• Convex curves whose points are vertices of billiard triangles
• On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards
• Sub-Riemannian geometry and periodic orbits in classical billiards
• Dual billiards
• Hyperbolic outer billiards: a first example
• Unnamed Item

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