Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiconformal mappings and singularity of boundary distortion   We extend a well-known theorem by Jones and Makarov [JM] on the singularity
of boundary distortion of planar conformal mappings. We use a different
technique to recover the previous result and, moreover, generalize the result
for quasiconformal mappings of the unit ball $\B^n\subset \mathbb{R}^n$, $n\ge
2$. We also establish an estimate on the Hausdorff (gauge) dimension of the
boundary of the image domain outside an exceptional set of given size on the
sphere $\partial \B^n$. Furthermore, we show that this estimate is essentially
sharp.
  [JM] P. W. Jones and N. Makarov: Density properties of harmonic measure. Ann.
Math. 142 (1995), 427--455.

31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess