Dynamics over Teichmüller space

Author:
William A. Veech

Journal:
Bull. Amer. Math. Soc. **14** (1986), 103-106

MSC (1985):
Primary 30F99, 58F11, 58F15, 58F17

DOI:
https://doi.org/10.1090/S0273-0979-1986-15406-6

MathSciNet review:
818062

Full-text PDF Free Access

References | Similar Articles | Additional Information

**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**

Retrieve articles in *Bulletin of the American Mathematical Society*
with MSC (1985):
30F99,
58F11,
58F15,
58F17

Retrieve articles in all journals with MSC (1985): 30F99, 58F11, 58F15, 58F17

Additional Information

DOI:
https://doi.org/10.1090/S0273-0979-1986-15406-6