Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An effective estimate for the Lebesgue measure of preimages of iterates
  of the Farey map   Using techniques from infinite ergodic theory, Kessebohmer and Stratmann
determined the asymptotic behavior of the Lebesgue measure of sets of the form
$F^{-n}[\alpha,\beta]$, where $[\alpha,\beta]\subseteq(0,1]$ and $F$ is the
Farey map. In this paper, we provide an effective version of this result,
employing mostly basic properties of the transfer operator of the Farey map and
an application of Freud's effective version of Karamata's Tauberian theorem.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org