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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.
Bishop, Christopher J.. "Quasiconformal mappings of Y-pieces.." Revista Matemática Iberoamericana 18.3 (2002): 627-652. <http://eudml.org/doc/39697>.
@article{Bishop2002, abstract = {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.}, author = {Bishop, Christopher J.}, journal = {Revista Matemática Iberoamericana}, keywords = {Superficies Riemann; Dimensión de Hausdorff; Aplicaciones cuasiconformes; Grupos fuchsianos; Y-pieces; Hausdorff dimension; quasi-Fuchsian groups; quasiconformal deformation, critical exponent; convex core}, language = {eng}, number = {3}, pages = {627-652}, title = {Quasiconformal mappings of Y-pieces.}, url = {http://eudml.org/doc/39697}, volume = {18}, year = {2002}, }
TY - JOUR AU - Bishop, Christopher J. TI - Quasiconformal mappings of Y-pieces. JO - Revista Matemática Iberoamericana PY - 2002 VL - 18 IS - 3 SP - 627 EP - 652 AB - 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. LA - eng KW - Superficies Riemann; Dimensión de Hausdorff; Aplicaciones cuasiconformes; Grupos fuchsianos; Y-pieces; Hausdorff dimension; quasi-Fuchsian groups; quasiconformal deformation, critical exponent; convex core UR - http://eudml.org/doc/39697 ER -