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Dynamics over Teichmüller space
Author(s):
William A.
Veech
Journal:
Bull. Amer. Math. Soc.
14
(1986),
103-106.
MSC (1985):
Primary 30F99, 58F11, 58F15, 58F17
MathSciNet review:
818062
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Additional information
References:
- 1.
- L. Bers, Finite dimensional Teichmüller spaces and generalizations, Proc. Sympos. Pure Math., vol. 39, Amer. Math. Soc., Providence, R.I., 1983, pp. 115-156.
- 2.
- J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Math. 142 (1979), 221-274. MR 523212
- 3.
- S. Kravetz, On the geometry of Teichmüller spaces and the structure of their modular groups, Ann. Acad. Sci. Fenn. Ser. A I 278 (1959), 1-35. MR 148906
- 4.
- O. Lehto and K. I. Virtanen, Quasiconformal mappings in the plane, Springer-Verlag, Berlin, 1973. MR 344463
- 5.
- B. Marcus, The horocycle flow is mixing of all degrees, Invent. Math. 46 (1978), 201-209. MR 488168
- 6.
- H. Masur, Interval exchange transformations and measured foliations, Ann. of Math. (2) 115 (1982), 169-200. MR 644018
- 7.
- H. Masur, Preprint, 1983.
- 8.
- C. C. Moore, Ergodicity of flows on homogeneous spaces, Amer. J. Math. 88 (1966), 154-178. MR 193188
- 9.
- B. O'Byrne, On Finsler geometry and application to Teichmüller spaces, Ann. of Math. Studies, No. 66, 1971, pp. 317-328. MR 286141
- 10.
- W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces (preprint). MR 956596
- 11.
- W. A. Veech, Dynamical systems on analytic manifolds of quadratic differentials. I, F-structures (preprint).
- 12.
- W. A. Veech, Dynamical systems on analytic manifolds of quadratic differentials. II, Analytic manifolds of quadratic differentials (preprint).
- 13.
- W. A. Veech, Dynamical systems on analytic manifolds of quadratic differentials. III, The Teichmüller geodesic flow (preprint).
- 14.
- W. A. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. (2) 115 (1982), 201-242. MR 644019
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15406-6
PII:
S 0273-0979(1986)15406-6
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