Birkhoff billiards are insecure

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)1035-1040
Number of pages6
JournalDiscrete and Continuous Dynamical Systems
Volume23
Issue number3
DOIs
StatePublished - Mar 1 2009

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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