Geodesic
Critical points for the Hausdorff dimension of pairs of pants
Mark Pollicott1 ; Polina Vytnova2
1University of Warwick, Coventry, UK
2Queen Mary University of London, UK
Groups, geometry, and dynamics, Tome 11 (2017) no. 4, pp. 1497-1519

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DOI

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.
DOI : 10.4171/ggd/436
Classification : 37-XX, 11-XX, 20-XX
Mots-clés : Closed geodesics, Hausdorff dimension, Fuchsian group, limit set, numerical estimates, Riemann surface, Selberg zeta function

Mark Pollicott  1   ; Polina Vytnova  2

1 University of Warwick, Coventry, UK
2 Queen Mary University of London, UK 
Mark Pollicott; Polina Vytnova. Critical points for the Hausdorff dimension of pairs of pants. Groups, geometry, and dynamics, Tome 11 (2017) no. 4, pp. 1497-1519. doi: 10.4171/ggd/436
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     title = {Critical points for the {Hausdorff} dimension of pairs of pants},
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     pages = {1497--1519},
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     number = {4},
     doi = {10.4171/ggd/436},
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