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- W2578583253 abstract "B. H. Neumann [N] introduced outer billiards in the late 1950s and J. Moser [M1] popularized the system in the 1970s as a toy model for celestial mechanics. Outer billiards is a discrete self-map of R − P , where P is a bounded convex planar set as in Figure 1.1 below. Given p1 ∈ R − P , one defines p2 so that the segment p1p2 is tangent to P at its midpoint and P lies to the right of the ray −−→ p1p2. The map p1 → p2 is called the outer billiards map. The map is almost everywhere defined and invertible. See [T1] for a survey of outer billiards." @default.
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- W2578583253 date "2010-01-01" @default.
- W2578583253 modified "2023-09-27" @default.
- W2578583253 title "Outer Billiards, the Arithmetic Graph, and the Octagon" @default.
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