Closed trajectories for quadratic differentials with an application to billiards

Duke Mathematical Journal

Volumn 53, Issue 2, 1986, Pages 307-314

  Masur, Howard ^a,b  

^a TUFTS UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972550038     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-86-05319-6     Document Type: Article

References (13)

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3. L. BERS, Quasiconformal mappings with applications to differential equations, function theory and topology, Bull. Amer. Math. Soc. 83 (1977), 1083-1100.
4. L. BERS, Finite dimensional Teichmüller spaces, Bull. Amer. Math. Soc. 5 new series (1981), 131-172.
5. M. BOSHERNITZAN, A condition for minimal interval exchange maps to be uniquely ergodic, Duke Math. J. 52 (1985), 723-752.
6. C. BOLDRIGHINI, C. M. KEANE, AND F. MARCHETTI, Billiards in polygons, The Annals of Probability 6 (1978), № 4, 532-540.
7. R. H. Fox AND R. B. KERSHNER, Concerning the transitive properties of geodesies on a rational polyhedron, Duke Math. J. 2 (1936), 147-150.
8. E. GUTKIN, "Billiard on almost integrable polyhedral surfaces," in Ergodic Theory and Dynamical Systems, 4 (1984), 569-584.
9. S. KERCKHOFF, H. MASUR, AND J. SMILLIE, Ergodicity of billiard flows and quadratic differentials, to appear, Annals of Math.
10. H. MASUR, The extension of the Weil-Petersson metric to the boundary of Teichmüller space, Duke Math. J. 43 (1976), 623-635.
11. H. MASUR, Interval exchange transformations and measured foliations, Annals of Math. 115 (1982), 168-200.
12. K. STREBEL, Quadratic Differentials, Springer-Verlag, 1984.
13. A. N. ZEMLYAKOV AND A. KATOK, Topological transitivity of billiards in polygons, Mat. Zametki 18 (1975), 291-300.