Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Central Limit Theorems for Diophantine approximants   In this paper we study counting functions representing the number of
solutions of systems of linear inequalities which arise in the theory of
Diophantine approximation. We develop a method that allows us to explain the
random-like behavior that these functions exhibit and prove a Central Limit
Theorem for them. Our approach is based on a quantitative study of higher-order
correlations for functions defined on the space of lattices and a novel
technique for estimating cumulants of Siegel transforms.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th