Outer Billiards with Contraction: Attracting Cantor Sets

DOI10.1080/10586458.2014.952801zbMath1371.37077arXiv1501.05934OpenAlexW2075408448MaRDI QIDQ5246359

In-Jee Jeong

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/1501.05934

zbMATH Keywords

rotation numberunique ergodicitydynamics on the interval

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Rotation numbers and vectors (37E45)

Related Items (3)

Outer billiards with contraction: regular polygons ⋮ Asymptotic periodicity in outer billiards with contraction ⋮ Outer Billiards with Contraction: Attracting Cantor Sets

Cites Work

• Outer billiards on the Penrose kite: compactification and renormalization
• Dual polygonal billiards and necklace dynamics
• Rotation numbers of discontinuous orientation-preserving circle maps
• On the dual billiard problem
• Piecewise isometries: Applications in engineering
• Unbounded orbits for outer billiards. I
• Outer billiard outside regular polygons
• Topologies and Rotation Numbers for Families of Monotone Functions on the Circle
• Piecewise contractions are asymptotically periodic
• Outer Billiards on Kites (AM-171)
• Rotation Numbers for Monotone Functions on the Circle
• Outer Billiards with Contraction: Attracting Cantor Sets
• Periodicity and chaos from switched flow systems: contrasting examples of discretely controlled continuous systems

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