Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Improved Convergence Case for Diophantine Approximations on IFS
  Fractals   The objective of this paper is to (partially) address the issue of finding an
analogue to Khintchine's theorem for IFS Fractals. We study the convergence
case for Diophantine approximations, and show an improved result for higher
dimensions. This matter has been previously studied by Pollington and Velani in
arXiv:math/0401149. Pollington and Velani show a similar result to the one in
this paper (a Khinchine convergence case) and we shall show how our result is
an improvement in the higher dimensional cases.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int