Revista Matemática Iberoamericana
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Published online: 2002-12-31
Quasiconformal mappings of $Y$-piecesChristopher J. Bishop (1) SUNY at Stony Brook, USA
In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.
Keywords: Hausdorff dimension, quasi-Fuchsian groups, quasiconformal deformation, critical exponent, convex core
Bishop Christopher: Quasiconformal mappings of $Y$-pieces. Rev. Mat. Iberoam. 18 (2002), 627-652. doi: 10.4171/RMI/330