Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On variation of eigenvalues of birth and death matrices and random walk
  matrices   The purpose of this note is twofold: firstly to improve the known results on
variation of extreme eigenvalues of birth and death matrices and random walk
matrices; and secondly to progress towards the solution of a thirty years old
open problem concerning the variation of eigenvalues of these matrices.
  Keywords: Birth and death matrices, random walk matrices, eigenvalues,
monotonicity

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org