Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the weak and ergodic limit of the spectral shift function   We discuss convergence properties of the spectral shift functions associated
with a pair of Schrodinger operators with Dirichlet boundary conditions at the
end points of a finite interval (0, r) as the length of interval approaches
infinity.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess