JournalsjemsVol. 24, No. 3pp. 1007–1044

Divergent on average directions of Teichmüller geodesic flow

  • Paul Apisa

    Yale University, New Haven, USA
  • Howard Masur

    University of Chicago, USA
Divergent on average directions of Teichmüller geodesic flow cover
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Abstract

The set of directions from a finite area quadratic differential on a Riemann surface of finite type that diverge on average under Teichmüller geodesic flow has Hausdorff dimension exactly equal to one-half.

Cite this article

Paul Apisa, Howard Masur, Divergent on average directions of Teichmüller geodesic flow. J. Eur. Math. Soc. 24 (2022), no. 3, pp. 1007–1044

DOI 10.4171/JEMS/1117