Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On inhomogeneous Diophantine approximation and Hausdorff dimension   Let $\Gamma = Z A +Z^n$ be a dense subgroup with rank $n+1$ in $R^n$ and let
$\omega(A)$ denote the exponent of uniform simultaneous rational approximation
to the point $A$. We show that for any real number $v\ge \omega(A)$, the
Hausdorff dimension of the set $B_v$ of points in $R^n$ which are
$v$-approximable with respect to $\Gamma$, is equal to $1/v$.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ