A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards

Serge Tabachnikov

doi:10.1007/s10711-007-9196-y

A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards

Serge Tabachnikov

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

8 Scopus citations

Abstract

We prove a recent theorem by C. Culter every polygonal outer billiard in the affine plane has a periodic trajectory.

Original language	English (US)
Pages (from-to)	83-87
Number of pages	5
Journal	Geometriae Dedicata
Volume	129
Issue number	1
DOIs	https://doi.org/10.1007/s10711-007-9196-y
State	Published - Oct 2007

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s10711-007-9196-y

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title = "A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards",

abstract = "We prove a recent theorem by C. Culter every polygonal outer billiard in the affine plane has a periodic trajectory.",

author = "Serge Tabachnikov",

note = "Funding Information: Acknowledgements Many thanks to C. Culter for numerous discussions, to R. Schwartz for his interest and support, and to the referee for many a useful suggestion. The author was partially supported by an NSF grant DMS-0555803. Funding Information: 1The program was supported by an NSF grant; the problem solved by Culter was proposed by the author of this note.",

year = "2007",

month = oct,

doi = "10.1007/s10711-007-9196-y",

language = "English (US)",

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AU - Tabachnikov, Serge

N1 - Funding Information: Acknowledgements Many thanks to C. Culter for numerous discussions, to R. Schwartz for his interest and support, and to the referee for many a useful suggestion. The author was partially supported by an NSF grant DMS-0555803. Funding Information: 1The program was supported by an NSF grant; the problem solved by Culter was proposed by the author of this note.

PY - 2007/10

Y1 - 2007/10

N2 - We prove a recent theorem by C. Culter every polygonal outer billiard in the affine plane has a periodic trajectory.

AB - We prove a recent theorem by C. Culter every polygonal outer billiard in the affine plane has a periodic trajectory.

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JO - Geometriae Dedicata

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IS - 1

ER -

A proof of Culter's theorem on the existence of periodic orbits in polygonal outer billiards

Abstract

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