Outer billiards on the Penrose kite: compactification and renormalization

DOI10.3934/jmd.2011.5.473zbMath1277.37070arXiv1102.4635OpenAlexW2058413963MaRDI QIDQ660074

Richard Evan Schwartz

Publication date: 25 January 2012

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

Full work available at URL: https://arxiv.org/abs/1102.4635

zbMATH Keywords

compactificationrenormalizationouter billiardsPenrose kitepiecewise translationpolytope exchange

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (4)

Outer billiards with contraction: regular polygons ⋮ Renormalization of polygon exchange maps arising from corner percolation ⋮ Negative refraction and tiling billiards ⋮ Outer Billiards with Contraction: Attracting Cantor Sets

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