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arxiv: math/0608529 · v2 · submitted 2006-08-21 · 🧮 math.DS · math-ph· math.MP

Periodic orbits in outer billiards

classification 🧮 math.DS math-phmath.MP
keywords boundaryorbitsouterbilliardbilliardsconvexcornersempty
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It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.

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