Open AccessQuasiconformal mappings of $Y$-pieces
Author(s) -
Christopher J. Bishop
Publication year - 2002
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/330
Subject(s) - construct (python library) , dimension (graph theory) , boundary (topology) , mathematics , quasiconformal mapping , limit (mathematics) , exponential function , pure mathematics , mathematical analysis , computer science , programming language
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom