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Uniquely ergodic quadratic differentials

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Commentarii Mathematici Helvetici

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References

  1. Ahlfors, L. V.,Lectures on quasiconformal mappings, Math. Studies No. 10, Van Nostrand, Princeton, 1966.

    MATH  Google Scholar 

  2. Bers, L.,Quasiconformal mappings and Teichmüller's theorem, in Analytic Functions (R. Nevanlinna et al., eds.), Princeton University Press, 1960.

  3. —,an external problem for quasiconformal mappings and a theorem by Thurston, Acta Math.141:1–2 (1978) 73–98.

    Article  MATH  MathSciNet  Google Scholar 

  4. Furstenberg, H.,Strict ergodicity and transformations of the torus, Amer. J. Math.,83 (1961), 573–601.

    Article  MATH  MathSciNet  Google Scholar 

  5. Hubbard, J. andMasur, H.,Quadratic differentials and foliations, Acta Math.142 (1979), 221–274.

    Article  MATH  MathSciNet  Google Scholar 

  6. S. Kerckoff,The asymptotic geometry of Teichmüller space, Thesis, Princeton University, 1978.

  7. Keynes, H. andNewton, D.,A minimal non-uniquely ergodic interval exchange transformation. Math. Z.,148 (1976), 101–106.

    Article  MATH  MathSciNet  Google Scholar 

  8. Kravetz, S.,On the geometry of Teichmüller spaces and the structure of their modular groups, Ann. Acad. Sci. Fenn.,278 (1959), 1–35.

    MathSciNet  Google Scholar 

  9. Marden, A. andMasur, H.,A foliation of Teichmüller space by twist invariant discs, Math. Scandinavica,36 (1975), 211–228.

    MATH  MathSciNet  Google Scholar 

  10. Masur, H.,On a class of geodesics in Teichmüller space, Ann. of Math.,102 (1975), 205–221.

    Article  MathSciNet  Google Scholar 

  11. Masur, H.,Dense geodesics in moduli space, to appear Proceedings of Stony Brook Conference. Annals of Math Studies.

  12. Strebel K. Trajectory structure of quadratic differentials, in discontinuous groups and Riemann surfaces. Annals of Mathematics Studies79 (1974), Princeton University Press.

  13. Thurston, W.,On the geometry and dynamics of diffeomorphisms, preprint.

  14. Veech, W.,Topological dynamics, Bull. Amer. Math. Soc.,83 no. 5, (1977), 775–831.

    Article  MATH  MathSciNet  Google Scholar 

  15. Walters, P.,Ergodic theory—introductory lectures, Lecture Notes in Mathematics (1975), Springer-Verlag Berlin.

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Illinois, Chicago Circle

    Howard Masur

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  1. Howard Masur
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Supported in part by the National Science Foundation.

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Masur, H. Uniquely ergodic quadratic differentials. Commentarii Mathematici Helvetici 55, 255–266 (1980). https://doi.org/10.1007/BF02566685

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  • DOI: https://doi.org/10.1007/BF02566685

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