JournalsggdVol. 11, No. 4pp. 1497–1519

Critical points for the Hausdorff dimension of pairs of pants

  • Mark Pollicott

    University of Warwick, Coventry, UK
  • Polina Vytnova

    Queen Mary University of London, UK
Critical points for the Hausdorff dimension of pairs of pants cover

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Abstract

We study the dependence of the Hausdorff dimension of the limit set of a hyperbolic Fuchsian group on the geometry of the associated Riemann surface. In particular, we study the type and location of extrema subject to restriction on the total length of the boundary geodesics. In addition, we compare different algorithms used for numerical computations.

Cite this article

Mark Pollicott, Polina Vytnova, Critical points for the Hausdorff dimension of pairs of pants. Groups Geom. Dyn. 11 (2017), no. 4, pp. 1497–1519

DOI 10.4171/GGD/436