Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Necessary and Sufficient Conditions for Preserving Convergence Rates
  to Equilibrium in Deterministically and Stochastically Perturbed Differential
  Equations with Regularly Varying Nonlinearity
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc