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.
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Links and Identifiers
[B-K-M] C. Boldrighini, M. Keane and F. Marchetti, Billiards in polygons, Ann. Prob. 6 (1978), 532-540.
[B] M. Boshernitzan, A condition for minimal interval exchange maps to be uniquely ergodic, preprint.
[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.
[G] E. Gutkin, Billiards on almost integrable polyhedral surfaces, preprint.
[M] H. Masur, Interval exchange tranformations and measured foliations, Ann. of Math (2) 115 (1982), 169-200.
[V] W. A. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. (2) 115 (1982), 201-242.