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.
| Original language | English |
|---|---|
| Pages (from-to) | 627-652 |
| Number of pages | 26 |
| Journal | Revista Matematica Iberoamericana |
| Volume | 18 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2002 |
Keywords
- Convex core
- Critical exponent
- Hausdorff dimension
- Quasi-Fuchsian groups
- Quasiconformal deformation
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