Decreasing dilatation can increase dimension
Bishop, Christopher J.
Illinois J. Math., Tome 51 (2007) no. 3, p. 1243-1248 / Harvested from Project Euclid
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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 $> 1$.
Publié le : 2007-10-15
Classification:  30C62,  30F35 
@article{1258138541,
     author = {Bishop, Christopher J.},
     title = {Decreasing dilatation can increase dimension},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 1243-1248},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138541}
}

Bishop, Christopher J. Decreasing dilatation can increase dimension. Illinois J. Math., Tome 51 (2007) no. 3, pp.  1243-1248. http://gdmltest.u-ga.fr/item/1258138541/