Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Selection, Stability and Renormalization   We illustrate how to extend the concept of structural stability through
applying it to the front propagation speed selection problem. This
consideration leads us to a renormalization group study of the problem. The
study illustrates two very general conclusions: (1) singular perturbations in
applied mathematics are best understood as renormalized perturbation methods,
and (2) amplitude equations are renormalization group equations.

5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math