Abstract
We answer a question of Cui and Zinsmeister by constructing a quasiconformal map $f$ of the disk to itself with dilatation $\mu$ such that map corresponding to dilatation $\sfrac 12 \mu$, maps the circle to a curve of dimension $> 1$.
Citation
Christopher J. Bishop. "Decreasing dilatation can increase dimension." Illinois J. Math. 51 (4) 1243 - 1248, Winter 2007. https://doi.org/10.1215/ijm/1258138541
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