Divergent on average directions of Teichmüller geodesic flow
Paul Apisa
Yale University, New Haven, USAHoward Masur
University of Chicago, USA
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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