Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative distortion and the Hausdorff dimension of continued
  fractions   We prove a quantitative distortion theorem for iterated function systems that
generate sets of continued fractions. As a consequence, we obtain upper and
lower bounds on the Hausdorff dimension of any set of real or complex continued
fractions. These bounds are solutions to Moran-type equations in the
convergents that can be easily implemented in a computer algebra system.

22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an