Birkhoff billiards are insecure

Details Birkhoff billiards are insecure Birkhoff billiards are insecure

2007-05-23

arxiv.org/abs/0705.3273v1

Mathematics

Differential Geometry

Scientific paper

We prove that every compact plane billiard, bounded by a smooth curve, is
insecure: there exist pairs of points $A,B$ such that no finite set of points
can block all billiard trajectories from $A$ to $B$.

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