Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative non-divergence and Diophantine approximation on manifolds   The goal of this survey is to discuss the Quantitative non-Divergence
estimate on the space of lattices and present a selection of its applications.
The topics covered include extremal manifolds, Khintchine-Groshev type
theorems, rational points lying close to manifolds and badly approximable
points on manifolds. The main emphasis is on the role of the Quantitative
non-Divergence estimate in the aforementioned topics within the theory of
Diophantine approximation, and therefore this paper should not be regarded as a
comprehensive overview of the area.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas