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A rational billiard flow is uniquely ergodic in almost every direction
Author(s):
Steven
Kerckhoff;
Howard
Masur;
John
Smillie
Journal:
Bull. Amer. Math. Soc.
13
(1985),
141-142.
MSC (1980):
Primary 70D99, 58F11, 30F30
MathSciNet review:
799797
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References |
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Additional information
References:
- [B-K-M] C. Boldrighini, M. Keane and F. Marchetti, Billiards in polygons, Ann. Prob. 6 (1978), 532-540. MR 644840
- [B] M. Boshernitzan, A condition for minimal interval exchange maps to be uniquely ergodic, preprint. MR 808101
- [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. MR 1545913
- [G] E. Gutkin, Billiards on almost integrable polyhedral surfaces, preprint. MR 779714
- [M] H. Masur, Interval exchange tranformations and measured foliations, Ann. of Math (2) 115 (1982), 169-200. MR 644018
- [V] W. A. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. (2) 115 (1982), 201-242. MR 644019
- [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). MR 399423
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15398-4
PII:
S 0273-0979(1985)15398-4
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