Bulletin (New Series) of the American Mathematical Society

A rational billiard flow is uniquely ergodic in almost every direction

Steven Kerckhoff, Howard Masur, and John Smillie
Source: Bull. Amer. Math. Soc. (N.S.) Volume 13, Number 2 (1985), 141-142.
First Page: Show Hide
Primary Subjects: 70D99, 58F11, 30F30
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bams/1183552695
Mathematical Reviews number (MathSciNet): MR799797
Zentralblatt MATH identifier: 0574.58020

References

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Zentralblatt MATH: 0377.28014
Mathematical Reviews (MathSciNet): MR644840
Digital Object Identifier: doi:10.1214/aop/1176995475
Project Euclid: euclid.aop/1176995475
[B] M. Boshernitzan, A condition for minimal interval exchange maps to be uniquely ergodic, preprint.
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Mathematical Reviews (MathSciNet): MR808101
Digital Object Identifier: doi:10.1215/S0012-7094-85-05238-X
Project Euclid: euclid.dmj/1077304590
[F-K] R. H. Fox and R. B. Kershner, Concerning the transitive properties of geodesics on a rational polyhedron, Duke Math. J. 2 (1936), 147-150.
Mathematical Reviews (MathSciNet): MR1545913
Digital Object Identifier: doi:10.1215/S0012-7094-36-00213-2
Project Euclid: euclid.dmj/1077489348
[G] E. Gutkin, Billiards on almost integrable polyhedral surfaces, preprint.
Zentralblatt MATH: 0569.58028
Mathematical Reviews (MathSciNet): MR779714
Digital Object Identifier: doi:10.1017/S0143385700002650
[M] H. Masur, Interval exchange tranformations and measured foliations, Ann. of Math (2) 115 (1982), 169-200.
Zentralblatt MATH: 0497.28012
Mathematical Reviews (MathSciNet): MR644018
Digital Object Identifier: doi:10.2307/1971341
[V] W. A. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. (2) 115 (1982), 201-242.
Zentralblatt MATH: 0486.28014
Mathematical Reviews (MathSciNet): MR644019
Digital Object Identifier: doi:10.2307/1971391
[Z-K] A. N. Zemlyakov and A. B. Katok, Topological transitivity of billiards in polygons, Mat. Zametki 18 (1975), 291-300 (English translation in Mat. Notes 18 (1976), 760-764).
Zentralblatt MATH: 0323.58012
Mathematical Reviews (MathSciNet): MR399423

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Bulletin (New Series) of the American Mathematical Society

Bulletin (New Series) of the American Mathematical Society

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