Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic expansions of the largest eigenvalues   In this paper, we provide a rigorous derivation of asymptotic formula for the
largest eigenvalues using the convergence estimation of the eigenvalues of a
sequence of self-adjoint compact operators of perturbations resulting from the
presence of small inhomogeneities.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin