Quasiconformal mappings of $Y$-pieces
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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.
convex core, critical exponent, quasiconformal deformation, critical exponent, Y-pieces, quasi-Fuchsian groups, Conformal mappings of special domains, 30F60, Hausdorff dimension, quasiconformal deformation, Teichmüller theory for Riemann surfaces
convex core, critical exponent, quasiconformal deformation, critical exponent, Y-pieces, quasi-Fuchsian groups, Conformal mappings of special domains, 30F60, Hausdorff dimension, quasiconformal deformation, Teichmüller theory for Riemann surfaces
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