Deviation for interval exchange transformations

Ergodic Theory and Dynamical Systems

Volumn 17, Issue 6, 1997, Pages 1477-1499

  Zorich, Anton ^a,b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b INDEPENDENT UNIVERSITY OF MOSCOW   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040601079     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385797086215     Document Type: Article

References (12)

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4. M. Kontsevich and A. Zorich. Lyapunov exponents and Hodge theory. Preprint, IHES/M/97/13, 1-16.
5. H. Masur. Interval exchange transformations and measured foliations. Ann. Math. 115 (1982), 169-200.
6. V. I. Oseledetc. A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19 (1968), 197-231.
7. G. Rauzy. Echanges d'intervalles et transformations induites. Acta Arith. 34 (1979), 315-328.
8. W. A. Veech. Gauss measures for transformations on the space of interval exchange maps. Ann. Math. 115 (1982), 201-242.
9. W. A. Veech. The metric theory of interval exchange transformations I. Generic spectral properties. Amer. J. Math. 106 (1984), 1331-1359.
10. W. A. Veech. The metric theory of interval exchange transformations II. Approximation by primitive interval exchanges. Amer. J. Math. 106 (1984), 1361-1387.
11. A. Zorich. Gauss map on the space of interval exchange transformations. Finiteness of the invariant measure. Lyapunov exponents. Annales de l'Institut Fourier 46(2) (1996), 325-370.
12. A. Zorich. On hyperplane sections of periodic surfaces. Solitons, Geometry, and Topology: on the Crossroad (Translations of the AMS, ser. 2, vol. 179). Eds. V. M. Buchstaber and S. P. Novikov. American Mathematical Society, Providence, RI, pp. 173-189.