Birkhoff billiards are insecure

Serge Tabachnikov

doi:10.3934/dcds.2009.23.1035

Birkhoff billiards are insecure

Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	1035-1040
Number of pages	6
Journal	Discrete and Continuous Dynamical Systems
Volume	23
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2009.23.1035
State	Published - Mar 2009

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2009.23.1035

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title = "Birkhoff billiards are insecure",

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.",

author = "Serge Tabachnikov",

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Birkhoff billiards are insecure

Abstract

All Science Journal Classification (ASJC) codes

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