Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hausdorff dimension of some sets of numbers defined through the
  digits of their $Q$-Cantor series expansions   Following in the footsteps of P. Erd\H{o}s and A. R\'enyi we compute the
Hausdorff dimension of sets of numbers whose digits with respect to their
$Q$-Cantor series expansions satisfy various statistical properties. In
particular, we consider difference sets associated with various notions of
normality and sets of numbers with a prescribed range of digits.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
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
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg